#grothendieck — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #grothendieck, aggregated by home.social.
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Ah purée! Aurélien Barrau qui fait la promo de son bouquin sur #Grothendieck dans la Matinale de #FranceInter. Dès le matin, c'est rude.
"Un invité qui s'est volontairement effacé des plateaux et des caméras parce qu'il n'était pas entendu."
Hum. J'ai un autre son de cloche...
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💡 Ah, the #groundbreaking #revelation of the decade: crack a walnut with either a hammer or a chisel. #Grothendieck, the mathematical titan, graces us from his 1000-page snoozefest with the profound insight of nut-cracking as a metaphor for #problem-solving. 😴🔨🥜 Who knew math could be boiled down to snack-time prep?! 🤷♂️
https://shreevatsa.net/post/grothendieck-approaches/ #nutcracking #mathematics #HackerNews #ngated -
Two ways to crack a walnut, per Grothendieck (2025)
https://shreevatsa.net/post/grothendieck-approaches/
#HackerNews #walnutcracking #Grothendieck #mathematics #innovation #2025 #insights
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Dans le journal @lemonde recension d'un ouvrage d'un proche du mathématicien #grothendieck : « Les Années cachées » du mathématicien Alexandre Grothendieck racontées par un proche
https://www.lemonde.fr/sciences/article/2025/11/06/les-annees-cachees-du-mathematicien-alexandre-grothendieck-racontees-par-un-proche_6652455_1650684.html
#maths #livre #books #lecture #survivreetvivre #ecologie #sciences -
Ça, c'est tout spécialement dédié à @jaztrophysicist https://reporterre.net/La-science-est-engagee-dans-un-productivisme-qui-fait-des-ravages
"Un astrophysicien qui travaille désormais sur les problématiques socio environnementales..."
Avec de vrais morceaux de #grothendieck dedans.
#Labos1point5 -
CW: python code
🌞Ossie's Peep Grouping Three is available in Python!
def peep(x):
return(x)def OssiePeepGroup3():
peepRange = range(0, 8)
peepingOn = True
peepCount = 57 #Grothendieck prime
peepStorage = list()
while peepingOn is True:
for i in peepRange:
if i % 3:
peepStorage.append(peep(i))
peepCount = peepCount - 1
if peepCount == 0:
peepingOn = False
print(peepStorage)
return(peepStorage)OssiePeepGroup3()
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RÉCIT. « Il a révolutionné les #maths » : la vie extraordinaire d’Alexandre #Grothendieck, épisode 2
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Mathematics: the key is to go beyond the specific formula and look for the underlying structure. Good proofs allow us to by-pass the complex formulas from the special case.
Working hard to end up with elegant laziness.
That's my humble take on how to do maths, as a jobbing quantitative social scientist.
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You can see the first five minutes of a film about Grothendieck, "L’Espace d’un homme" that was premiered as part of the same extended event here:
The film proper starts at about 1:22
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https://www.youtube.com/live/xl9JF1AOCRw?feature=shared
Turn on subtitles and auto-translate to English (or another language of choice) if you are, like me, not a French speaker.
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[GUERRE ET PUCES] La dure réalité de la microélectronique en temps de guerre mondialisée. Un article du groupe #Grothendieck.
[LIEN] https://lundi.am/Guerres-Puces -
Although it refers to a book that is only partly about maths, you might be interested in a recent post of mine (in response to an article about Grothendieck - regarded by many as the greatest mathematician of recent times) - it is certainly a book you read for pleasure...
"Interesting article - https://www.theguardian.com/science/article/2024/aug/31/alexander-grothendieck-huawei-ai-artificial-intelligence - but I'm surprised it doesn't mention the story told by Benjamin Labatut, In his book 'When We Cease To Understand The World', about the Japanese mathematician Shinichi Mochizuki, who had worked on Grothendieck’s papers, and who in 2012 published online a 600 page mathematical proof nobody has yet been able to understand.
In 2014 Mochizuki went to Montpelier. He returned to Japan a changed man, left his post at the University of Kyoto, took down the proof and everything else he had published, just leaving the statement that in mathematics, some things must remain hidden 'for the good of all of us'.
Nobody knows what happened in Montpelier, but a nurse maintains that on his death bed in Montpelier hospital, Grothendieck’s only visitor was a Japanese man, who spent 5 days there. A few days later, a Japanese man was caught trying to set a fire outside the locked room in Montpelier University that contained the boxes of Grothendieck’s papers that he had left to the University - on the condition that they were never opened."
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Although it refers to a book that is only partly about maths, you might be interested in a recent post of mine (in response to an article about Grothendieck - regarded by many as the greatest mathematician of recent times) - it is certainly a book you read for pleasure...
"Interesting article - https://www.theguardian.com/science/article/2024/aug/31/alexander-grothendieck-huawei-ai-artificial-intelligence - but I'm surprised it doesn't mention the story told by Benjamin Labatut, In his book 'When We Cease To Understand The World', about the Japanese mathematician Shinichi Mochizuki, who had worked on Grothendieck’s papers, and who in 2012 published online a 600 page mathematical proof nobody has yet been able to understand.
In 2014 Mochizuki went to Montpelier. He returned to Japan a changed man, left his post at the University of Kyoto, took down the proof and everything else he had published, just leaving the statement that in mathematics, some things must remain hidden 'for the good of all of us'.
Nobody knows what happened in Montpelier, but a nurse maintains that on his death bed in Montpelier hospital, Grothendieck’s only visitor was a Japanese man, who spent 5 days there. A few days later, a Japanese man was caught trying to set a fire outside the locked room in Montpelier University that contained the boxes of Grothendieck’s papers that he had left to the University - on the condition that they were never opened."
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Although it refers to a book that is only partly about maths, you might be interested in a recent post of mine (in response to an article about Grothendieck - regarded by many as the greatest mathematician of recent times) - it is certainly a book you read for pleasure...
"Interesting article - https://www.theguardian.com/science/article/2024/aug/31/alexander-grothendieck-huawei-ai-artificial-intelligence - but I'm surprised it doesn't mention the story told by Benjamin Labatut, In his book 'When We Cease To Understand The World', about the Japanese mathematician Shinichi Mochizuki, who had worked on Grothendieck’s papers, and who in 2012 published online a 600 page mathematical proof nobody has yet been able to understand.
In 2014 Mochizuki went to Montpelier. He returned to Japan a changed man, left his post at the University of Kyoto, took down the proof and everything else he had published, just leaving the statement that in mathematics, some things must remain hidden 'for the good of all of us'.
Nobody knows what happened in Montpelier, but a nurse maintains that on his death bed in Montpelier hospital, Grothendieck’s only visitor was a Japanese man, who spent 5 days there. A few days later, a Japanese man was caught trying to set a fire outside the locked room in Montpelier University that contained the boxes of Grothendieck’s papers that he had left to the University - on the condition that they were never opened."
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Although it refers to a book that is only partly about maths, you might be interested in a recent post of mine (in response to an article about Grothendieck - regarded by many as the greatest mathematician of recent times) - it is certainly a book you read for pleasure...
"Interesting article - https://www.theguardian.com/science/article/2024/aug/31/alexander-grothendieck-huawei-ai-artificial-intelligence - but I'm surprised it doesn't mention the story told by Benjamin Labatut, In his book 'When We Cease To Understand The World', about the Japanese mathematician Shinichi Mochizuki, who had worked on Grothendieck’s papers, and who in 2012 published online a 600 page mathematical proof nobody has yet been able to understand.
In 2014 Mochizuki went to Montpelier. He returned to Japan a changed man, left his post at the University of Kyoto, took down the proof and everything else he had published, just leaving the statement that in mathematics, some things must remain hidden 'for the good of all of us'.
Nobody knows what happened in Montpelier, but a nurse maintains that on his death bed in Montpelier hospital, Grothendieck’s only visitor was a Japanese man, who spent 5 days there. A few days later, a Japanese man was caught trying to set a fire outside the locked room in Montpelier University that contained the boxes of Grothendieck’s papers that he had left to the University - on the condition that they were never opened."
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Although it refers to a book that is only partly about maths, you might be interested in a recent post of mine (in response to an article about Grothendieck - regarded by many as the greatest mathematician of recent times) - it is certainly a book you read for pleasure...
"Interesting article - https://www.theguardian.com/science/article/2024/aug/31/alexander-grothendieck-huawei-ai-artificial-intelligence - but I'm surprised it doesn't mention the story told by Benjamin Labatut, In his book 'When We Cease To Understand The World', about the Japanese mathematician Shinichi Mochizuki, who had worked on Grothendieck’s papers, and who in 2012 published online a 600 page mathematical proof nobody has yet been able to understand.
In 2014 Mochizuki went to Montpelier. He returned to Japan a changed man, left his post at the University of Kyoto, took down the proof and everything else he had published, just leaving the statement that in mathematics, some things must remain hidden 'for the good of all of us'.
Nobody knows what happened in Montpelier, but a nurse maintains that on his death bed in Montpelier hospital, Grothendieck’s only visitor was a Japanese man, who spent 5 days there. A few days later, a Japanese man was caught trying to set a fire outside the locked room in Montpelier University that contained the boxes of Grothendieck’s papers that he had left to the University - on the condition that they were never opened."
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Der @guardian hat einen sehr schönen und langen Artikel über den Mathematiker Alexander #Grothendieck veröffentlicht.
(Ein bisschen #KI und #Huawei kommt auch vor, lässt sich aber ignorieren. 😉 ) -
"The hermit’s name was Alexander Grothendieck. Born in 1928, he arrived in France from Germany as a refugee in 1939, and went on to revolutionise postwar mathematics as Einstein had physics a generation earlier."
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Huawei believes his esoteric concept of the #topos could be key to building the next generation of #AI, and has hired Fields medal-winner Laurent Lafforgue to explore…But #Grothendieck ’s motivations were not worldly ones, as his former colleague Pierre Cartier understood. “Even in his mathematical milieu, he wasn’t quite a member of the family. He pursued a kind of monologue, or rather a dialogue with mathematics and God, which to him were one and the same.”
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Huawei believes his esoteric concept of the #topos could be key to building the next generation of #AI, and has hired Fields medal-winner Laurent Lafforgue to explore…But #Grothendieck ’s motivations were not worldly ones, as his former colleague Pierre Cartier understood. “Even in his mathematical milieu, he wasn’t quite a member of the family. He pursued a kind of monologue, or rather a dialogue with mathematics and God, which to him were one and the same.”
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Huawei believes his esoteric concept of the #topos could be key to building the next generation of #AI, and has hired Fields medal-winner Laurent Lafforgue to explore…But #Grothendieck ’s motivations were not worldly ones, as his former colleague Pierre Cartier understood. “Even in his mathematical milieu, he wasn’t quite a member of the family. He pursued a kind of monologue, or rather a dialogue with mathematics and God, which to him were one and the same.”
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Huawei believes his esoteric concept of the #topos could be key to building the next generation of #AI, and has hired Fields medal-winner Laurent Lafforgue to explore…But #Grothendieck ’s motivations were not worldly ones, as his former colleague Pierre Cartier understood. “Even in his mathematical milieu, he wasn’t quite a member of the family. He pursued a kind of monologue, or rather a dialogue with mathematics and God, which to him were one and the same.”
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Huawei believes his esoteric concept of the #topos could be key to building the next generation of #AI, and has hired Fields medal-winner Laurent Lafforgue to explore…But #Grothendieck ’s motivations were not worldly ones, as his former colleague Pierre Cartier understood. “Even in his mathematical milieu, he wasn’t quite a member of the family. He pursued a kind of monologue, or rather a dialogue with mathematics and God, which to him were one and the same.”
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Interesting article - https://www.theguardian.com/science/article/2024/aug/31/alexander-grothendieck-huawei-ai-artificial-intelligence - but I'm surprised it doesn't mention the story told by Benjamin Labatut, In his book 'When We Cease To Understand The World', about the Japanese mathematician Shinichi Mochizuki, who had worked on Grothendieck’s papers, and who in 2012 published online a 600 page mathematical proof nobody has yet been able to understand.
In 2014 Mochizuki went to Montpelier. He returned to Japan a changed man, left his post at the University of Kyoto, took down the proof and everything else he had published, just leaving the statement that in mathematics, some things must remain hidden 'for the good of all of us'.
Nobody knows what happened in Montpelier, but a nurse maintains that on his death bed in Montpelier hospital, Grothendieck’s only visitor was a Japanese man, who spent 5 days there. A few days later, a Japanese man was caught trying to set a fire outside the locked room in Montpelier University that contained the boxes of Grothendieck’s papers, that he had left to the University on the condition that they were never opened.
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Interesting article - https://www.theguardian.com/science/article/2024/aug/31/alexander-grothendieck-huawei-ai-artificial-intelligence - but I'm surprised it doesn't mention the story told by Benjamin Labatut, In his book 'When We Cease To Understand The World', about the Japanese mathematician Shinichi Mochizuki, who had worked on Grothendieck’s papers, and who in 2012 published online a 600 page mathematical proof nobody has yet been able to understand.
In 2014 Mochizuki went to Montpelier. He returned to Japan a changed man, left his post at the University of Kyoto, took down the proof and everything else he had published, just leaving the statement that in mathematics, some things must remain hidden 'for the good of all of us'.
Nobody knows what happened in Montpelier, but a nurse maintains that on his death bed in Montpelier hospital, Grothendieck’s only visitor was a Japanese man, who spent 5 days there. A few days later, a Japanese man was caught trying to set a fire outside the locked room in Montpelier University that contained the boxes of Grothendieck’s papers, that he had left to the University on the condition that they were never opened.
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Interesting article - https://www.theguardian.com/science/article/2024/aug/31/alexander-grothendieck-huawei-ai-artificial-intelligence - but I'm surprised it doesn't mention the story told by Benjamin Labatut, In his book 'When We Cease To Understand The World', about the Japanese mathematician Shinichi Mochizuki, who had worked on Grothendieck’s papers, and who in 2012 published online a 600 page mathematical proof nobody has yet been able to understand.
In 2014 Mochizuki went to Montpelier. He returned to Japan a changed man, left his post at the University of Kyoto, took down the proof and everything else he had published, just leaving the statement that in mathematics, some things must remain hidden 'for the good of all of us'.
Nobody knows what happened in Montpelier, but a nurse maintains that on his death bed in Montpelier hospital, Grothendieck’s only visitor was a Japanese man, who spent 5 days there. A few days later, a Japanese man was caught trying to set a fire outside the locked room in Montpelier University that contained the boxes of Grothendieck’s papers, that he had left to the University on the condition that they were never opened.
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Interesting article - https://www.theguardian.com/science/article/2024/aug/31/alexander-grothendieck-huawei-ai-artificial-intelligence - but I'm surprised it doesn't mention the story told by Benjamin Labatut, In his book 'When We Cease To Understand The World', about the Japanese mathematician Shinichi Mochizuki, who had worked on Grothendieck’s papers, and who in 2012 published online a 600 page mathematical proof nobody has yet been able to understand.
In 2014 Mochizuki went to Montpelier. He returned to Japan a changed man, left his post at the University of Kyoto, took down the proof and everything else he had published, just leaving the statement that in mathematics, some things must remain hidden 'for the good of all of us'.
Nobody knows what happened in Montpelier, but a nurse maintains that on his death bed in Montpelier hospital, Grothendieck’s only visitor was a Japanese man, who spent 5 days there. A few days later, a Japanese man was caught trying to set a fire outside the locked room in Montpelier University that contained the boxes of Grothendieck’s papers, that he had left to the University on the condition that they were never opened.
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Interesting article - https://www.theguardian.com/science/article/2024/aug/31/alexander-grothendieck-huawei-ai-artificial-intelligence - but I'm surprised it doesn't mention the story told by Benjamin Labatut, In his book 'When We Cease To Understand The World', about the Japanese mathematician Shinichi Mochizuki, who had worked on Grothendieck’s papers, and who in 2012 published online a 600 page mathematical proof nobody has yet been able to understand.
In 2014 Mochizuki went to Montpelier. He returned to Japan a changed man, left his post at the University of Kyoto, took down the proof and everything else he had published, just leaving the statement that in mathematics, some things must remain hidden 'for the good of all of us'.
Nobody knows what happened in Montpelier, but a nurse maintains that on his death bed in Montpelier hospital, Grothendieck’s only visitor was a Japanese man, who spent 5 days there. A few days later, a Japanese man was caught trying to set a fire outside the locked room in Montpelier University that contained the boxes of Grothendieck’s papers, that he had left to the University on the condition that they were never opened.
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A larger question is whether this is what Grothendieck would have wanted.
In 1972, during his ecologist phase,
concerned that capitalist society was driving humanity towards ruin,
he gave a talk at CERN, near Geneva,
entitled
"Can We Continue Scientific Research?"He didn’t know about AI
– but he was already opposed to this collusion between science and corporate industry.Considering his pacifist values, he would probably also have been opposed to Huawei’s championing of his work;
-- its chief executive, #Ren #Zhengfei, is a former member of the People’s Liberation Army engineering corps.The US department of defense,
as well as some independent researchers,
believes Huawei is controlled by the Chinese military.Huawei insists it is a private company,
owned by its employees and its founding chairman,
Ren Zhengfei,
and that it is “not owned, controlled or affiliated to any government or third-party company”.Lafforgue points out that France’s IHES,
where Grothendieck and later he worked,
was funded by industrial companies
– and thinks Huawei’s interest is legitimate.Caramello, who is the founder and president of the Grothendieck Institute research organisation,
believes that he would have wanted a systematic exploration of his concepts to bring them to fruition.“Topos theory is itself a kind of machine that can extend our imagination,” she says.
“So you see Grothendieck was not against the use of machines.
He was against blind machines, or brute force.”
What is unsettling is a degree of opaqueness about Huawei’s aims regarding AI and its collaborations,
including its relationship with the Grothendieck Institute,
where Lafforgue sits on the scientific council.But Caramello stresses that it is an entirely independent body that engages in theoretical,
not applied research,
and that makes its findings available to all.She says it does not research AI and that Lafforgue’s involvement pertains solely to his expertise in Grothendieckian maths.
#Huawei #topos #Olivia #Caramello #Grothendieck #Laurent #Lafforgue #Pierre #Cartier
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A larger question is whether this is what Grothendieck would have wanted.
In 1972, during his ecologist phase,
concerned that capitalist society was driving humanity towards ruin,
he gave a talk at CERN, near Geneva,
entitled
"Can We Continue Scientific Research?"He didn’t know about AI
– but he was already opposed to this collusion between science and corporate industry.Considering his pacifist values, he would probably also have been opposed to Huawei’s championing of his work;
-- its chief executive, #Ren #Zhengfei, is a former member of the People’s Liberation Army engineering corps.The US department of defense,
as well as some independent researchers,
believes Huawei is controlled by the Chinese military.Huawei insists it is a private company,
owned by its employees and its founding chairman,
Ren Zhengfei,
and that it is “not owned, controlled or affiliated to any government or third-party company”.Lafforgue points out that France’s IHES,
where Grothendieck and later he worked,
was funded by industrial companies
– and thinks Huawei’s interest is legitimate.Caramello, who is the founder and president of the Grothendieck Institute research organisation,
believes that he would have wanted a systematic exploration of his concepts to bring them to fruition.“Topos theory is itself a kind of machine that can extend our imagination,” she says.
“So you see Grothendieck was not against the use of machines.
He was against blind machines, or brute force.”
What is unsettling is a degree of opaqueness about Huawei’s aims regarding AI and its collaborations,
including its relationship with the Grothendieck Institute,
where Lafforgue sits on the scientific council.But Caramello stresses that it is an entirely independent body that engages in theoretical,
not applied research,
and that makes its findings available to all.She says it does not research AI and that Lafforgue’s involvement pertains solely to his expertise in Grothendieckian maths.
#Huawei #topos #Olivia #Caramello #Grothendieck #Laurent #Lafforgue #Pierre #Cartier
-
A larger question is whether this is what Grothendieck would have wanted.
In 1972, during his ecologist phase,
concerned that capitalist society was driving humanity towards ruin,
he gave a talk at CERN, near Geneva,
entitled
"Can We Continue Scientific Research?"He didn’t know about AI
– but he was already opposed to this collusion between science and corporate industry.Considering his pacifist values, he would probably also have been opposed to Huawei’s championing of his work;
-- its chief executive, #Ren #Zhengfei, is a former member of the People’s Liberation Army engineering corps.The US department of defense,
as well as some independent researchers,
believes Huawei is controlled by the Chinese military.Huawei insists it is a private company,
owned by its employees and its founding chairman,
Ren Zhengfei,
and that it is “not owned, controlled or affiliated to any government or third-party company”.Lafforgue points out that France’s IHES,
where Grothendieck and later he worked,
was funded by industrial companies
– and thinks Huawei’s interest is legitimate.Caramello, who is the founder and president of the Grothendieck Institute research organisation,
believes that he would have wanted a systematic exploration of his concepts to bring them to fruition.“Topos theory is itself a kind of machine that can extend our imagination,” she says.
“So you see Grothendieck was not against the use of machines.
He was against blind machines, or brute force.”
What is unsettling is a degree of opaqueness about Huawei’s aims regarding AI and its collaborations,
including its relationship with the Grothendieck Institute,
where Lafforgue sits on the scientific council.But Caramello stresses that it is an entirely independent body that engages in theoretical,
not applied research,
and that makes its findings available to all.She says it does not research AI and that Lafforgue’s involvement pertains solely to his expertise in Grothendieckian maths.
#Huawei #topos #Olivia #Caramello #Grothendieck #Laurent #Lafforgue #Pierre #Cartier
-
A larger question is whether this is what Grothendieck would have wanted.
In 1972, during his ecologist phase,
concerned that capitalist society was driving humanity towards ruin,
he gave a talk at CERN, near Geneva,
entitled
"Can We Continue Scientific Research?"He didn’t know about AI
– but he was already opposed to this collusion between science and corporate industry.Considering his pacifist values, he would probably also have been opposed to Huawei’s championing of his work;
-- its chief executive, #Ren #Zhengfei, is a former member of the People’s Liberation Army engineering corps.The US department of defense,
as well as some independent researchers,
believes Huawei is controlled by the Chinese military.Huawei insists it is a private company,
owned by its employees and its founding chairman,
Ren Zhengfei,
and that it is “not owned, controlled or affiliated to any government or third-party company”.Lafforgue points out that France’s IHES,
where Grothendieck and later he worked,
was funded by industrial companies
– and thinks Huawei’s interest is legitimate.Caramello, who is the founder and president of the Grothendieck Institute research organisation,
believes that he would have wanted a systematic exploration of his concepts to bring them to fruition.“Topos theory is itself a kind of machine that can extend our imagination,” she says.
“So you see Grothendieck was not against the use of machines.
He was against blind machines, or brute force.”
What is unsettling is a degree of opaqueness about Huawei’s aims regarding AI and its collaborations,
including its relationship with the Grothendieck Institute,
where Lafforgue sits on the scientific council.But Caramello stresses that it is an entirely independent body that engages in theoretical,
not applied research,
and that makes its findings available to all.She says it does not research AI and that Lafforgue’s involvement pertains solely to his expertise in Grothendieckian maths.
#Huawei #topos #Olivia #Caramello #Grothendieck #Laurent #Lafforgue #Pierre #Cartier
-
A larger question is whether this is what Grothendieck would have wanted.
In 1972, during his ecologist phase,
concerned that capitalist society was driving humanity towards ruin,
he gave a talk at CERN, near Geneva,
entitled
"Can We Continue Scientific Research?"He didn’t know about AI
– but he was already opposed to this collusion between science and corporate industry.Considering his pacifist values, he would probably also have been opposed to Huawei’s championing of his work;
-- its chief executive, #Ren #Zhengfei, is a former member of the People’s Liberation Army engineering corps.The US department of defense,
as well as some independent researchers,
believes Huawei is controlled by the Chinese military.Huawei insists it is a private company,
owned by its employees and its founding chairman,
Ren Zhengfei,
and that it is “not owned, controlled or affiliated to any government or third-party company”.Lafforgue points out that France’s IHES,
where Grothendieck and later he worked,
was funded by industrial companies
– and thinks Huawei’s interest is legitimate.Caramello, who is the founder and president of the Grothendieck Institute research organisation,
believes that he would have wanted a systematic exploration of his concepts to bring them to fruition.“Topos theory is itself a kind of machine that can extend our imagination,” she says.
“So you see Grothendieck was not against the use of machines.
He was against blind machines, or brute force.”
What is unsettling is a degree of opaqueness about Huawei’s aims regarding AI and its collaborations,
including its relationship with the Grothendieck Institute,
where Lafforgue sits on the scientific council.But Caramello stresses that it is an entirely independent body that engages in theoretical,
not applied research,
and that makes its findings available to all.She says it does not research AI and that Lafforgue’s involvement pertains solely to his expertise in Grothendieckian maths.
#Huawei #topos #Olivia #Caramello #Grothendieck #Laurent #Lafforgue #Pierre #Cartier
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In mid-April, dapper Parisians are filing out of the polished foyer of a redeveloped hotel in the seventh arrondissement, heading for lunch.
The first French TV programmes were broadcast from the building -- now, #Huawei is pushing for a similar leap in AI here.
It has set up the Centre-Lagrange,
an advanced mathematics research institute, on the site and hired elite French mathematicians,
including Laurent Lafforgue, to work there.An aura of secrecy surrounds their work in this ultra-competitive field,
compounded by growing suspicion in the west of Chinese tech.Huawei initially refused to answer any questions, before permitting some answers to be emailed.
Grothendieck’s notion of the #topos,
developed by him in the 1960s,
is of particular interest to Huawei.Of his fully realised concepts, toposes were his furthest step in his quest to identify the deeper algebraic values at the heart of mathematical space,
and in doing so generate a geometry without fixed points.He described toposes as a “vast and calm river”
from which fundamental mathematical truths could be sifted.#Olivia #Caramello views them rather as “bridges” capable of facilitating the transfer of information between different domains.
Now, Lafforgue confirms via email,
Huawei is exploring the application of toposes in a number of domains, including telecoms and AI.Caramello describes toposes as a mathematical incarnation of the idea of vision;
-- an integration of all the possible points of view on a given mathematical situation that reveals its most essential features.Applied to AI, toposes could allow computers to move beyond the data associated with, say, an apple;
-- the geometric coordinates of how it appears in images, for example, or tagging metadata.Then AI could begin to identify objects more like we do
– through a deeper “semantic” understanding of what an apple is.But practical application to create the next generation of “thinking” AI is, according to Lafforgue, some way off.
-
In mid-April, dapper Parisians are filing out of the polished foyer of a redeveloped hotel in the seventh arrondissement, heading for lunch.
The first French TV programmes were broadcast from the building -- now, #Huawei is pushing for a similar leap in AI here.
It has set up the Centre-Lagrange,
an advanced mathematics research institute, on the site and hired elite French mathematicians,
including Laurent Lafforgue, to work there.An aura of secrecy surrounds their work in this ultra-competitive field,
compounded by growing suspicion in the west of Chinese tech.Huawei initially refused to answer any questions, before permitting some answers to be emailed.
Grothendieck’s notion of the #topos,
developed by him in the 1960s,
is of particular interest to Huawei.Of his fully realised concepts, toposes were his furthest step in his quest to identify the deeper algebraic values at the heart of mathematical space,
and in doing so generate a geometry without fixed points.He described toposes as a “vast and calm river”
from which fundamental mathematical truths could be sifted.#Olivia #Caramello views them rather as “bridges” capable of facilitating the transfer of information between different domains.
Now, Lafforgue confirms via email,
Huawei is exploring the application of toposes in a number of domains, including telecoms and AI.Caramello describes toposes as a mathematical incarnation of the idea of vision;
-- an integration of all the possible points of view on a given mathematical situation that reveals its most essential features.Applied to AI, toposes could allow computers to move beyond the data associated with, say, an apple;
-- the geometric coordinates of how it appears in images, for example, or tagging metadata.Then AI could begin to identify objects more like we do
– through a deeper “semantic” understanding of what an apple is.But practical application to create the next generation of “thinking” AI is, according to Lafforgue, some way off.
-
In mid-April, dapper Parisians are filing out of the polished foyer of a redeveloped hotel in the seventh arrondissement, heading for lunch.
The first French TV programmes were broadcast from the building -- now, #Huawei is pushing for a similar leap in AI here.
It has set up the Centre-Lagrange,
an advanced mathematics research institute, on the site and hired elite French mathematicians,
including Laurent Lafforgue, to work there.An aura of secrecy surrounds their work in this ultra-competitive field,
compounded by growing suspicion in the west of Chinese tech.Huawei initially refused to answer any questions, before permitting some answers to be emailed.
Grothendieck’s notion of the #topos,
developed by him in the 1960s,
is of particular interest to Huawei.Of his fully realised concepts, toposes were his furthest step in his quest to identify the deeper algebraic values at the heart of mathematical space,
and in doing so generate a geometry without fixed points.He described toposes as a “vast and calm river”
from which fundamental mathematical truths could be sifted.#Olivia #Caramello views them rather as “bridges” capable of facilitating the transfer of information between different domains.
Now, Lafforgue confirms via email,
Huawei is exploring the application of toposes in a number of domains, including telecoms and AI.Caramello describes toposes as a mathematical incarnation of the idea of vision;
-- an integration of all the possible points of view on a given mathematical situation that reveals its most essential features.Applied to AI, toposes could allow computers to move beyond the data associated with, say, an apple;
-- the geometric coordinates of how it appears in images, for example, or tagging metadata.Then AI could begin to identify objects more like we do
– through a deeper “semantic” understanding of what an apple is.But practical application to create the next generation of “thinking” AI is, according to Lafforgue, some way off.
-
In mid-April, dapper Parisians are filing out of the polished foyer of a redeveloped hotel in the seventh arrondissement, heading for lunch.
The first French TV programmes were broadcast from the building -- now, #Huawei is pushing for a similar leap in AI here.
It has set up the Centre-Lagrange,
an advanced mathematics research institute, on the site and hired elite French mathematicians,
including Laurent Lafforgue, to work there.An aura of secrecy surrounds their work in this ultra-competitive field,
compounded by growing suspicion in the west of Chinese tech.Huawei initially refused to answer any questions, before permitting some answers to be emailed.
Grothendieck’s notion of the #topos,
developed by him in the 1960s,
is of particular interest to Huawei.Of his fully realised concepts, toposes were his furthest step in his quest to identify the deeper algebraic values at the heart of mathematical space,
and in doing so generate a geometry without fixed points.He described toposes as a “vast and calm river”
from which fundamental mathematical truths could be sifted.#Olivia #Caramello views them rather as “bridges” capable of facilitating the transfer of information between different domains.
Now, Lafforgue confirms via email,
Huawei is exploring the application of toposes in a number of domains, including telecoms and AI.Caramello describes toposes as a mathematical incarnation of the idea of vision;
-- an integration of all the possible points of view on a given mathematical situation that reveals its most essential features.Applied to AI, toposes could allow computers to move beyond the data associated with, say, an apple;
-- the geometric coordinates of how it appears in images, for example, or tagging metadata.Then AI could begin to identify objects more like we do
– through a deeper “semantic” understanding of what an apple is.But practical application to create the next generation of “thinking” AI is, according to Lafforgue, some way off.
-
In mid-April, dapper Parisians are filing out of the polished foyer of a redeveloped hotel in the seventh arrondissement, heading for lunch.
The first French TV programmes were broadcast from the building -- now, #Huawei is pushing for a similar leap in AI here.
It has set up the Centre-Lagrange,
an advanced mathematics research institute, on the site and hired elite French mathematicians,
including Laurent Lafforgue, to work there.An aura of secrecy surrounds their work in this ultra-competitive field,
compounded by growing suspicion in the west of Chinese tech.Huawei initially refused to answer any questions, before permitting some answers to be emailed.
Grothendieck’s notion of the #topos,
developed by him in the 1960s,
is of particular interest to Huawei.Of his fully realised concepts, toposes were his furthest step in his quest to identify the deeper algebraic values at the heart of mathematical space,
and in doing so generate a geometry without fixed points.He described toposes as a “vast and calm river”
from which fundamental mathematical truths could be sifted.#Olivia #Caramello views them rather as “bridges” capable of facilitating the transfer of information between different domains.
Now, Lafforgue confirms via email,
Huawei is exploring the application of toposes in a number of domains, including telecoms and AI.Caramello describes toposes as a mathematical incarnation of the idea of vision;
-- an integration of all the possible points of view on a given mathematical situation that reveals its most essential features.Applied to AI, toposes could allow computers to move beyond the data associated with, say, an apple;
-- the geometric coordinates of how it appears in images, for example, or tagging metadata.Then AI could begin to identify objects more like we do
– through a deeper “semantic” understanding of what an apple is.But practical application to create the next generation of “thinking” AI is, according to Lafforgue, some way off.
-
Was this hermit mathematician a forgotten genius whose ideas could transform AI – or a lonely madman?
#Grothendieck’s genius defied his attempts at erasing his own renown.
The long-awaited publication in 2022 of Grothendieck’s exhaustive memoir, "Harvests and Sowings", renewed interest in his work.
And there is growing academic and corporate attention to how Grothendieckian concepts could be practically applied for technological ends.
Chinese telecoms giant Huawei believes his esoteric concept of the topos could be key to building the next generation of AI,
and has hired Fields medal-winner #Laurent #Lafforgue to explore this subject.But Grothendieck’s motivations were not worldly ones, as his former colleague #Pierre #Cartier understood.
“Even in his mathematical milieu, he wasn’t quite a member of the family,” writes Cartier. “He pursued a kind of monologue, or rather a dialogue with mathematics and God, which to him were one and the same.”
Beyond his mathematics was the unknown.
Were his final writings,
an avalanche of 70,000 pages in an often near-illegible hand,
the aimless scribblings of a madman?Or had the anchorite of Lasserre made one last thrust into the secret architecture of the universe?
And what would this outsider
– who had spurned the scientific establishment and modern society
– make of the idea of tech titans sizing up his intellectual property for exploitation? -
A tome of almost 3,000 pages:
The crazy autobiography of #Alexandre #Grothendieck,
a genius mathematician of the 20th century.
Nothing like it for the long winter evenings.
Moved from fundamental research to radical ecology
and then misanthropy,
the itinerary of an anarchist who deserves to be known.
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Found on the #Orsay university library.
#grothendieck #patriarchy -
Le #mathématicien #Grothendieck laisse, à sa mort en 2014, un travail de 100 000 pages, dont 50 000 pages iront à la #BnF, et les 50 000 autres iront a un mystérieux milliardaire américain
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"[This work] is a wine, aged for a lifetime in the casks of my being. The last glass that you’ll drink will be no better than the first or the hundredth. They are all “the same”, and they are all different. And if the first glass is spoiled, the whole cask is; then might as well drink some good water (if found), rather than bad wine.
But a good wine is not drunk in a hurry, nor off the cuff."
– #Grothendieck, Récoltes et Semailles
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If #Grothendieck were a programmer he would have been a #lisp hacker. His advice to construct simplified theories to interpret the problem at hand has deep #nanopass and #LanguageOrientedProgramming vibes.
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"Nonetheless one should learn the language of topos"
- Carlin McLarty on #Grothendieck's 1973 #topos lectures -
nothing challenges the ethical facade of the institutions of knowledge more than the treatment of #Grothendieck for the militant persistence of his dedication to #ecology, anti-imperialism, #decolonization, and the general project of human emancipation. his outspoken opposition to the #IHES's relation with the French military lead to a culture of expropriation of the results of his work, where a culture brewed in which it was open season to scower #EGA for bits to render transmisable for one's own credit, as he showed with meticulous detail throughout récoltes et semailles and other personal writings.
