#langlands — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #langlands, aggregated by home.social.
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Une équipe de neuf #chercheurs a franchi un #cap #historique en démontrant la #conjecture #géométrique de #Langlands, un problème réputé insoluble depuis quatre décennies.
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This is a beautiful narration of mathematical discovery.
https://www.quantamagazine.org/monumental-proof-settles-geometric-langlands-conjecture-20240719/
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Absolutely thrilled that Dennis Gaitsgory from the Max Planck Institute for Mathematics has won the 2025 Breakthrough Prize in #Mathematics for his central role in the proof of the geometric #Langlands conjecture - often referred to as the Rosetta Stone of math! 🥳 Congratulations - this is such a well-deserved recognition for decades of deep work!🎉
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#Dennis #Gaitsgory has dedicated the past 30 years to proving the #geometric #Langlands #conjecture.
Over the decades, he and his collaborators have built an extensive body of work, forming the foundation of the new proof.
Although the geometric Langlands program is highly abstract, it forges deep connections between different mathematical structures
and has the potential to drive breakthroughs in theoretical physics, number theory, and even quantum computing.
The #Breakthrough #Prize was established in 2012 by Sergey Brin (Google), Mark Zuckerberg (Facebook), and others to recognize outstanding researchers for their groundbreaking discoveries.
It is awarded in the fields of life sciences, physics, and mathematics.
In 2016, the Breakthrough Prize in Life Sciences was awarded to #Svante #Pääbo from the Max Planck Institute for Evolutionary Anthropology in Leipzig,
and in 2022, to #Anthony #Hyman from the Max Planck Institute for Molecular Cell Biology and Genetics in Dresden.
https://www.mpg.de/24476145/breakthrough-prize-mathematics-2025?c=2249 -
A #geometry masterpiece: #Yale prof solves part of math’s #RosettaStone.
Yale’s #SamRaskin has solved a major portion of a math question that could lead to a translation #theory for some areas of #math.
❛❛ The [Robert] #Langlands Conjectures … suggested in the 1960s that deep, unproven connections exist between #numbertheory, harmonic analysis & #geometry — 3 areas of math long considered distinctly separate. ❜❜
🔗 https://news.yale.edu/2024/11/01/geometry-masterpiece-yale-prof-solves-part-maths-rosetta-stone 01 Nov 2024
🔗 https://Wikipedia.org/wiki/Langlands_program -
Cannot contain my excitement over the possibility of a breakthrough on the Geometric Langland's https://www.quantamagazine.org/monumental-proof-settles-geometric-langlands-conjecture-20240719
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CC @m_artigiani this helped me to skim some context. Nothing compared to an expert’s thread, still exciting.
#langlands #rag #llm -
Did some stress testing of Gemini 1.5 Pro (using the Gemini Advanced subscription) this evening.
Google’s latest LLM version with a context window that can handle the equivalent of about 1500 pages of text. So RAG is no longer about picking some chunks from documents but digesting large amounts of content entirely.
I uploaded the five papers that together prove the geometric Langlands conjecture (about 1000 pages in total) and asked very general questions about the proof structure and more detailed questions and some background stuff.
Processing is slow (no surprise) but the output is quite convincing. It is a reasonable way to get very complex facts and connections explained. -
Numberphile gave Edward Frenkel a whole hour to talk about Langlands Program.
Enjoy. (I did.)https://www.youtube.com/watch?v=4dyytPboqvE
#math #numberphile #langlands #frenkel -
#Langlands - The Biggest Project in Modern #Mathematics
https://www.youtube.com/watch?v=_bJeKUosqoY&ab_channel=QuantaMagazine
#LanglandsProgramme #LanglandsProject #NumberTheory #Arithmetic #Math #Maths #Mathematics #Harmonics #HarmonicTheory #Numbers #Ramanujan #Fermat #Wiles #Weil #Frey #Proof #MathematicalProof
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#Langlands - The Biggest Project in Modern #Mathematics
https://www.youtube.com/watch?v=_bJeKUosqoY&ab_channel=QuantaMagazine
#LanglandsProgramme #LanglandsProject #NumberTheory #Arithmetic #Math #Maths #Mathematics #Harmonics #HarmonicTheory #Numbers #Ramanujan #Fermat #Wiles #Weil #Frey #Proof #MathematicalProof
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#Langlands - The Biggest Project in Modern #Mathematics
https://www.youtube.com/watch?v=_bJeKUosqoY&ab_channel=QuantaMagazine
#LanglandsProgramme #LanglandsProject #NumberTheory #Arithmetic #Math #Maths #Mathematics #Harmonics #HarmonicTheory #Numbers #Ramanujan #Fermat #Wiles #Weil #Frey #Proof #MathematicalProof
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#Langlands - The Biggest Project in Modern #Mathematics
https://www.youtube.com/watch?v=_bJeKUosqoY&ab_channel=QuantaMagazine
#LanglandsProgramme #LanglandsProject #NumberTheory #Arithmetic #Math #Maths #Mathematics #Harmonics #HarmonicTheory #Numbers #Ramanujan #Fermat #Wiles #Weil #Frey #Proof #MathematicalProof
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#Langlands - The Biggest Project in Modern #Mathematics
https://www.youtube.com/watch?v=_bJeKUosqoY&ab_channel=QuantaMagazine
#LanglandsProgramme #LanglandsProject #NumberTheory #Arithmetic #Math #Maths #Mathematics #Harmonics #HarmonicTheory #Numbers #Ramanujan #Fermat #Wiles #Weil #Frey #Proof #MathematicalProof
