#hottest — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #hottest, aggregated by home.social.
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This week the #HoTTEST seminar presents:
Freek Geerligs
Synthetic Stone duality
The talk is at 11:30am EDT (15:30 UTC) on Thursday, April 16. The talk will be 60 minutes long, followed by up to 30 minutes for questions. See https://hottest-seminar.github.io/ for the Zoom link and a list of all upcoming talks.
All are welcome!
Abstract:
In this talk, we will give an overview of Synthetic Stone duality (https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TYPES.2024.3). We will then discuss some related work in progress.
Synthetic Stone duality is an extension of homotopy type theory with four axioms. These axioms are strong enough to decide Bishop's omniscience principles. We introduce a (synthetic) topology on any type, such that all functions are continuous. We are interested in Stone spaces and compact Hausdorff spaces, where the topology behaves as one would expect. In particular, we can define the (topological) interval and show that all functions are continuous in the epsilon-delta sense.
Currently, we are working on a paper with a method for calculating cohomology with countably presented coefficients for compact Hausdorff spaces. We are also interested in a correspondence between homotopical concepts defined using traditional topology (using paths from the topological interval) and homotopy type theory (using identity types).
This talk will contain joint work with Reid Barton, Felix Cherubini, Thierry Coquand, and Hugo Moeneclaey.
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This week the #HoTTEST seminar presents:
Szumi Xie
The groupoid-syntax of type theory is a set
The talk is at 11:30am EDT (15:30 UTC) on Thursday, April 2. The talk will be 60 minutes long, followed by up to 30 minutes for questions. See https://hottest-seminar.github.io/ for the Zoom link and a list of all upcoming talks. (This should be back to the "usual" time for Europeans who are now on summer time.)
All are welcome!
Abstract:
Categories with families (CwFs) have been used to define the semantics of type theory in type theory. In the setting of homotopy type theory, one of the limitations of the traditional notion of CwFs is the requirement to set-truncate types, which excludes models based on univalent categories, such as the standard set model. To address this limitation, I will introduce the notion of groupoid categories with families (GCwFs), which truncates types at the groupoid level and incorporates coherence equations.
I will demonstrate that the initial GCwF for a type theory with some type formers is set-truncated, using a technique called α-normalization. This allows us to utilize the conventional intrinsic syntax of type theory while enabling interpretations in semantically richer and more natural models.
I will also present a generalization of GCwFs and discuss its relation to comprehension categories.
This talk is based on joint work with Thorsten Altenkirch and Ambrus Kaposi (https://doi.org/10.4230/LIPIcs.CSL.2026.40).
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This week the #HoTTEST seminar presents:
Astra Kolomatskaia
Displayed Type Theory, intervals, and analytic higher categorical structures
The talk is at 11:30am EDT (15:30 UTC) on Thursday, March 19. The talk will be 60 minutes long, followed by up to 30 minutes for questions. See https://hottest-seminar.github.io/ for the Zoom link and a list of all upcoming talks. (Note that we recently started daylight time in North America, so the local time may have changed for you.)
All are welcome!
Abstract:
I have historically encountered a number of difficulties in communicating my work to others. The process of preparing this talk has thus involved engaging with throughlines in the type theory literature and has helped me identify places in which building bridges was necessary.
My joint work with Mike Shulman introduced Displayed Type Theory [dTT], which syntactically admits a construction of semi-simplicial types in a way that then semantically admits interpretation into arbitrary Grothendieck (∞,1)-topoi. This result is not novel as stated: First, it is not a syntactic construction in Book HoTT. Second, syntactic constructions of SSTs were a foremost consideration in the development of 2LTT, and Elif Üsküplü's analysis shows that the inner layer of 2LTT, when enriched with an axiom of cofibrant exo-nats, is general with respect to Grothendieck (∞,1)-topos semantics. [...]
[Full abstract too long for even two toots, so follow the link to the seminar page to see it all.]
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This week the #HoTTEST seminar presents:
Ayberk Tosun (@ayberkt)
Constructive and predicative locale theory in univalent foundations
The talk is at 11:30am EST (16:30 UTC) on Thursday, March 5. The talk will be 60 minutes long, followed by up to 30 minutes for questions. See https://hottest-seminar.github.io/ for the Zoom link and a list of all upcoming talks.
All are welcome!
Abstract in the next post (because of the character limit)
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This week the #HoTTEST seminar presents:
Bastiaan Cnossen
Synthetic category theory in CaTT
The talk is at 11:30am EST (16:30 UTC) on Thursday, February 19. The talk will be 60 minutes long, followed by up to 30 minutes for questions. See https://hottest-seminar.github.io/ for the Zoom link and a list of all upcoming talks.
All are welcome!
Abstract:
Up to now, most approaches to a synthetic theory of categories are based on Martin-Löf type theory (e.g. directed/simplicial type theory). In this talk, I discuss some first explorations for using the type theory CaTT as a basis for synthetic category theory.
The type theory CaTT, developed by Finster and Mimram, captures the internal language of a weak ω-category: a categorical structure with n-morphisms for every n with operations satisfying the weakest possible form of coherence laws. Unlike HoTT, CaTT may be interpreted directly within any (∞,1)-category, without need for intricate strictification results. In particular, CaTT has a model given by the (∞,1)-category Cat of small (∞,1)-categories.
The long-term goal of our project is to enhance CaTT with additional rules capturing the internal language of Cat. In this talk I will focus on a first step: after explaining the basics of CaTT, I will formulate additional rules in CaTT that force its models to be (∞,1)-categories with products, pullbacks and/or internal homs. I will further explain how we hope to extend this in the future. Everything is joint with Ivan Kobe.
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I forgot to announce this week's #HoTTEST seminar ahead of time, but the talk is now live on YouTube, so you can watch it there: https://youtu.be/dCOZGKbSQSo
Talk info:
Benedikt Ahrens
A type theory for comprehension categories
Abstract:
Recent models of intensional type theory have been constructed in algebraic weak factorization systems (AWFSs). AWFSs give rise to comprehension categories that feature non-trivial morphisms between types; these morphisms are not used in the standard interpretation of Martin-Löf type theory in comprehension categories.
We develop a type theory that internalizes morphisms between types, reflecting this semantic feature back into syntax. Our type theory comes with Π-, Σ-, and identity types. We discuss how it can be viewed as an extension of Martin-Löf type theory with coercive subtyping, as sketched by Coraglia and Emmenegger. We furthermore define semantic structure that interprets our type theory and prove a soundness result. Finally, we exhibit many examples of the semantic structure, yielding a plethora of interpretations.
This talk is based on joint work with Niyousha Najmaei, Niels van der Weide, and Paige Randall North published in doi:10.1145/3776725.
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This week the #HoTTEST seminar presents:
Matteo Spadetto
Different descriptions of the semantics of computation axioms
The talk is at 11:30am EST (16:30 UTC) on Thursday, December 4. The talk will be 60 minutes long, followed by up to 30 minutes for questions. See https://hottest-seminar.github.io/ for the Zoom link and a list of all upcoming talks.
All are welcome!
Abstract:
We discuss three ways of formulating the semantics of type theory (syntactic, (higher) categorical, and homotopy theoretic) and the relationships between them, focusing on concrete examples provided by axiomatic type constructors.
#HoTT @carloangiuli @emilyriehl -
This week the #HoTTEST seminar presents:
Stefania Damato
The Groupoid CwF of Containers
The talk is at 11:30am EST (16:30 UTC) on Thursday, November 6. The talk will be 60 minutes long, followed by up to 30 minutes for questions. See https://hottest-seminar.github.io/ for the Zoom link and a list of all upcoming talks.
All are welcome!
Abstract: The original definition of a category with families (CwF) gives rise to some coherence issues when working intensionally. For example, the set model and the presheaf model technically do not fit this definition because their collections of types form groupoids and not h-sets. Altenkirch and Kaposi have previously introduced a CwF of containers which suffers from similar coherence issues in the intensional setting. In this talk, I will present ongoing work on fixing these issues for the container case by defining a groupoid CwF (GCwF) of containers. A GCwF allows us to have types forming groupoids, while requiring us to prove some extra coherences.
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This week the #HoTTEST seminar presents:
Axel Ljungström
A formalisation of the Serre finiteness theorem
The talk is at 11:30am EDT (15:30 UTC) on Thursday, October 23. The talk will be 60 minutes long, followed by up to 30 minutes for questions. See https://hottest-seminar.github.io/ for the Zoom link and a list of all upcoming talks.
All are welcome!
Abstract:
The central claim of the Serre finiteness theorem is that homotopy groups of spheres are finitely presented. Remarkably, this theorem can be proved constructively in HoTT. A particular consequence of this is that we get a completely synthetic proof of Brown's result that we, at least in theory, can compute (in the computer scientist's sense of the word) any homotopy group of any sphere! The HoTT proof of the Serre finiteness theorem, which is due to Barton and Campion, quickly inspired the launching of a rather extensive formalisation project, with the end-goal of verifying Barton and Campion's proof in Cubical Agda. About a month ago, this formalisation was finally completed.
In this talk, I'll give a rough outline of the Barton and Campion's proof. In my presentation, I will try to follow the timeline of the formalisation project and emphasise whenever the formalisation actually ended up leading to simplifications of the original pen-and-paper proof. I will also take the opportunity to mention some recent work on CW complexes which turned out to play an important role in both the formalisation and the pen-and-paper proof of the theorem.
This is joint work with Reid Barton, Owen Milner, Anders Mörtberg and Loïc Pujet.
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This week the #HoTTEST seminar presents:
Greg Langmead
Discrete differential geometry in homotopy type theory
The talk starts in five minutes: 11:30am EDT (15:30 UTC) on Thursday, October 9. The talk will be 60 minutes long, followed by up to 30 minutes for questions. See our new website https://hottest-seminar.github.io/for the Zoom link and a list of all upcoming talks.
All are welcome!
Abstract:
Type families on higher inductive types such as pushouts can capture homotopical properties of differential geometric constructions including connections, curvature, and vector fields. We define a class of pushouts based on simplicial complexes, then define principal bundles, connections, and curvature on these. We provide an example of a tangent bundle but do not prove when these must exist. We define vector fields, and the index of a vector field. Our main result is a theorem relating total curvature and total index, a key step to proving the Gauss-Bonnet theorem and the Poincaré-Hopf theorem, but without an existing definition of Euler characteristic to compare them to. We draw inspiration in part from the young field of discrete differential geometry, and in part from the original classical proofs, which often make use of triangulations and other discrete arguments.
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The #HoTTEST seminar begins its fall season with the following talk:
Jon Sterling
Is it time for a new proof assistant?
The talk is at 11:30am EDT (15:30 UTC) on Thursday, September 25. The talk will be 60 minutes long, followed by up to 30 minutes for questions. See our new website https://hottest-seminar.github.io/ for the Zoom link and a list of all upcoming talks.
All are welcome!
Abstract:
It could be time to build a non-experimental proof assistant for homotopy type theory and univalent foundations. I’ll give my thoughts on what that would entail, and where we are able to contribute in the era of Pax Leanica, focusing on algebraic hierarchies, carefully designed user experience, and a proposed return to foundational orthodoxy.
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Tomer Blechman’s Wood-Fired Cooking Makes Theodora the Hottest Spot in Brooklyn https://www.diningandcooking.com/2080595/tomer-blechmans-wood-fired-cooking-makes-theodora-the-hottest-spot-in-brooklyn/ #blechman #brooklyn #Cooking #eater #fired #FrontPage #hottest #in #Makes #MiseEnPlaceVideoEpisodes #RestaurantVideo #s #spot. #the #theodora #tomer #video #wood
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Book Promotion: Hot tales for cold (or hot) nights - check out that huge selection of dirty stories that are free-to-download. #🌶️📚 #hot #bodies #steamy #boss #kinky #goodbooks #lust #sex #fedibookfair #bdsm #writing #smutty #readers #hotwife #hottest #reader #amreading #naughty #lustful #sapphic #hotter #kink #smut #willing #shifter #reading #bookstodon #badboy (c266) https://books.bookfunnel.com/bookspry-erotica/aqtgqb34l5?utm_source=dlvr.it&utm_medium=mastodon
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Book Promotion: Hot tales for cold (or hot) nights - check out that huge selection of dirty stories that are free-to-download. #hottest #steamy #hotwife #fedibookfair #sapphic #goodbooks #readers #kink #bookstodon #🌶️📚 #kinky #bodies #sex #hot #bdsm #naughty #reading #lustful #writing #smut #amreading #shifter #smutty #lust #willing #hotter #badboy #boss #reader (606b) https://books.bookfunnel.com/bookspry-erotica/aqtgqb34l5?utm_source=dlvr.it&utm_medium=mastodon
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Book Promotion: Hot tales for cold (or hot) nights - check out that huge selection of dirty stories that are free-to-download. #kink #bookstodon #goodbooks #writing #boss #readers #hot #shifter #kinky #sapphic #hotwife #lustful #willing #hotter #smutty #reader #naughty #sex #reading #🌶️📚 #smut #bdsm #steamy #bodies #badboy #lust #fedibookfair #hottest #amreading (9d23) https://books.bookfunnel.com/bookspry-erotica/aqtgqb34l5?utm_source=dlvr.it&utm_medium=mastodon
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Book Promotion: Hot tales for cold (or hot) nights - check out that huge selection of dirty stories that are free-to-download. #bodies #boss #bdsm #smutty #naughty #bookstodon #badboy #kink #readers #hottest #lust #hotter #reading #kinky #writing #lustful #hot #steamy #sex #fedibookfair #goodbooks #smut #hotwife #amreading #willing #shifter #sapphic #reader (4656) https://books.bookfunnel.com/bookspry-erotica/aqtgqb34l5?utm_source=dlvr.it&utm_medium=mastodon
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Book Promotion: Hot tales for cold (or hot) nights - check out that huge selection of dirty stories that are free-to-download. #badboy #smut #reader #writing #naughty #bookstodon #kinky #hot #steamy #sapphic #boss #smutty #hottest #willing #lust #kink #bodies #shifter #bdsm #reading #fedibookfair #amreading #readers #hotwife #goodbooks #hotter #sex #lustful (59e6) https://books.bookfunnel.com/bookspry-erotica/aqtgqb34l5?utm_source=dlvr.it&utm_medium=mastodon
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#Climate: #2024 promises to be a record year, above the 1.5oC #warming mark. The year 2024 will almost certainly be the #hottest year on record and the first with an average temperature increase in the world of 1.5 degrees Celsius over the pre-industrial period according to data from European Copernicus service published after the second warmest month of October. #ClimateCrisis #globalheating #poverty #catastrophy #drilling #fossilfuels #economy #government #politics https://www.tiredearth.com/fr/news/climat-2024-s-annonce-comme-une-annee-record-au-dessus-de-la-barre-d-1-5-c-de-rechauffement
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https://www.evshift.com/309706/hottest-trend-in-e-bikes-the-engwe-le20-long-range-cargo-bike/ Hottest Trend In E-Bikes: The Engwe LE20 Long Range Cargo Bike! #BestEBike #BestElectricBike #BestElectricBikeUnder1000 #bike #Cargo #CargoBikes #EBikeReview #Ebikes #ElectricBikeReview #ElectricBikes #ElectricCargoBike #ElectricMotorcycles #ElectricVehicles #engwe #EngweLe20 #EngweM20 #EV #Hottest #LE20 #LONG #LongRangeEBike #MonkeyWrenchMike #motorcycles #Range #Trend
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Book Promotion: As those autumn nights draw in you want something to warm you - or roast you with these very toasty salacious tales you can curl up with and enjoy #badboy #reader #sex #bookstodon #kink #smutty #hotter #goodbooks #fedibookfair #bdsm #shifter #kinky #willing #readers #smut #steamy #boss #amreading #lust #hot #naughty #bodies #hottest #lustful #sapphic #hotwife (4acb) https://books.bookfunnel.com/alloftheerotica/otaxq0tuws?utm_source=dlvr.it&utm_medium=mastodon
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https://www.evshift.com/296911/13-hottest-e-bikes-you-can-buy-right-now-pt-2/ 13 Hottest E-Bikes You Can BUY RIGHT NOW! -pt. 2 #BestEbikes #BudgetEbike #Buy #ebike #EbikeReview #Ebikes #ElectricBicycles #ElectricBikes #ElectricFoil #ElectricMotorcycles #ElectricRideables #ElectricVehicles #EV #FutureTechnology #Hottest #LightElectricVehicle #MicroMobility #motorcycles #PersonalTransport #PersonalTransportVehicles #PersonalTransportation #TopTenBestEbike #UrbanMobility #WhichEbikeToBuy
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Nature interrupted: Impact of the #USMexico #BorderWall on #wildlife
Scientists on both sides of the border are working to understand how the barrier is affecting the area’s #biodiversity. Meanwhile, communities try to save animals left without access to #water.
By Iván Carrillo 06.27.2024
"In a vast stretch of the #SonoranDesert, between the towns of #SanLuisRíoColorado and #Sonoyta in northern #Mexico sits a modest building of cement, galvanized sheet metal and wood — the only stop along 125 miles of inhospitable landscape dominated by thorny ocotillo shrubs and towering saguaro cactuses up to 50 feet high. It’s a fonda — a small restaurant — called La Liebre del Desierto (The Desert Hare), and for more than 20 years, owner Elsa Ortiz Ramos has welcomed and nourished weary travelers taking a break from the adjacent highway that runs through the arid Pinacate and Grand Desierto de Altar Biosphere Reserve.
Landscape showing an arid land with bushes and a mountain in the background. The land is divided by a brown wall. In the foreground is a huge cactus."But the dedication and care of this petite woman go beyond her simple menu. Every two weeks, she pays out of pocket for a 5,000-gallon tank of water to distribute to a network of water troughs strategically placed in the area. By doing so, she relieves the thirst of #BighornSheep, #ocelots, #pronghorn, #coyotes, #deer and even #bats that have been deprived of access to their natural #WaterSources.
"'The #crows come to the house and scream to warn us that there is no more water ... it’s our alarm,' says Ortiz Ramos in her distinct northern Mexico accent. Her words sound straight from an Aesop’s fable, but they take on stark realism in this spot. Covering large parts of #Arizona, #California and the Mexican states of #BajaCalifornia and #Sonora, the #SonoranDesert — along with the #LutDesert in Iran — was catalogued in 2023 as having the #hottest surface temperature on the planet, at 80.8 degrees Celsius (177 degrees Fahrenheit).
"Through narrow steel bollards 3.5 inches apart, I observe lush vegetation surrounding the Quitobaquito spring on the other side of the border. 'This vital source supplies both humans and animals over an area of more than 1 million hectares,' Federico Godínez Leal, an agronomist from the University of Guadalajara, explains to me. But now this crucial water source is restricted to the US side due to the construction of the border wall, and I have come with him here to understand the consequences. Godínez Leal and his team have been documenting the stark difference between each side: Their poignant photographs show skeletons of wild boar, deer and bighorn sheep lying on Mexican soil."
#Extinction #BorderWalls #WaterIsLife #RestoreNature #PreserveNature
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Book Promotion: If your nights aren't hot enough - sear them in sexiness with this selection of torrid tales available to buy - all the kinks and slow burn stories. #lust #steamy #kinky #smut #hotwife #boss #fedibookfair #hottest #sapphic #hotter #bookstodon #bodies #willing #sex #readers #smutty #kink #badboy #goodbooks #bdsm #lustful #naughty #shifter #amreading #reader #hot (5145) https://books.bookfunnel.com/smutty_treats/w7yfmviday?utm_source=dlvr.it&utm_medium=mastodon
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Book Promotion: If your nights aren't hot enough - sear them in sexiness with this selection of torrid tales available to buy - all the kinks and slow burn stories. #goodbooks #kinky #bodies #amreading #bookstodon #willing #fedibookfair #hotwife #badboy #steamy #readers #naughty #hotter #boss #sex #reader #smutty #kink #sapphic #hottest #lustful #smut #shifter #lust #bdsm #hot (332e) https://books.bookfunnel.com/smutty_treats/w7yfmviday?utm_source=dlvr.it&utm_medium=mastodon
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The 25 #Sexiest #Queer #Movies of All Time.
Revisit some of the #hottest #films in the #queer #canon, from early works ("#UnChantDAmour") to #cultclassics ("The #RockyHorror Picture Show") to new favorites ("#Disobedience").
#Women #Transgender #LGBTQ #LGBTQIA #Entertainment #Movies #Representation #Culture
https://www.indiewire.com/gallery/sexy-lgbtq-queer-movies-lesbian-gay-romance/
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Book Promotion: If your nights aren't hot enough - sear them in sexiness with this selection of torrid tales available to buy - all the kinks and slow burn stories. #lust #boss #willing #kinky #fedibookfair #shifter #sex #reader #bdsm #readers #smut #hotter #sapphic #hottest #naughty #amreading #hot #hotwife #goodbooks #lustful #badboy #bodies #steamy #smutty #bookstodon #kink (6490) https://books.bookfunnel.com/smutty_treats/w7yfmviday?utm_source=dlvr.it&utm_medium=mastodon
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Book Promotion: If your nights aren't hot enough - sear them in sexiness with this selection of torrid tales available to buy - all the kinks and slow burn stories. #kinky #fedibookfair #badboy #boss #reader #goodbooks #amreading #smut #hotwife #hot #naughty #hottest #hotter #smutty #shifter #bdsm #readers #kink #bookstodon #sex #willing #lust #lustful #bodies #steamy #sapphic (17af) https://books.bookfunnel.com/smutty_treats/w7yfmviday?utm_source=dlvr.it&utm_medium=mastodon
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Book Promotion: If your nights aren't hot enough - sear them in sexiness with this selection of torrid tales available to buy - all the kinks and slow burn stories. #badboy #kink #willing #hotter #kinky #hotwife #reader #goodbooks #hottest #sex #naughty #bookstodon #lust #fedibookfair #shifter #smutty #boss #sapphic #bodies #lustful #bdsm #steamy #smut #amreading #readers #hot (6603) https://books.bookfunnel.com/smutty_treats/w7yfmviday?utm_source=dlvr.it&utm_medium=mastodon
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Book Promotion: Hot reading for hot nights. Discover your next favourite author of excellent smutty stories. #kinky #sex #bodies #hottest #lustful #sapphic #readers #smutty #lust #goodbooks #shifter #bookstodon #amreading #billionaire #reader #kink #badboy #millionaire #naughty #hot #willing #hotwife #hotter #steamy #fedibookfair #boss #smut #bdsm (2367) https://books.bookfunnel.com/alloftheerotica2/gkalcjxzkf?utm_source=dlvr.it&utm_medium=mastodon
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Why sprawling #Aussie neighbourhood is set to be #hottest place on earth in six months #overdevelopment #urbanSprawl
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‘Era of #global #boiling has arrived,’ says #UN chief as July set to be #hottest month on #record
https://www.theguardian.com/science/2023/jul/27/scientists-july-world-hottest-month-record-climate-temperatures?CMP=Share_AndroidApp_Other
#ClimateChange #Climate -
Poll
How did you respond the last time it was reported that "today is the hottest day on record"?
I apologize for the quality of the choices. Mastodon only lets you have four.
#Poll #Hottest #HottestDay #RecordHeat #HighestTemperatureOnRecord #ClimateChange #ClimateCrisis #ClimateEmergency #Meteorology #Weather #Summer #HotDay #RecordBreakingHottestDay #HottestDayOnRecord
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Red algae will NOT eliminate livestock as a problem for combating climate change.
The U.N. has a report stating that the livestock industry contributes more to the greenhouse effect than *transportation*.
One reason is methane.
It was hoped that mixing seaweed into livestock feed would cut methane emissions. Earlier studies showed 90% reductions and higher.
However, this latest and longest running study only showed a 28% reduction.
A guaranteed way to reduce methane emissions from the livestock industry is to minimize meat consumption. Eat less meat.
#Hottest #HottestDay #RecordHeat #HighestTemperatureOnRecord #ClimateChange #ClimateCrisis #ClimateEmergency #EatLessMeat #Vegan #Veganism #Vegetarianism #Vegetarian #GoVegan #Meteorology #Weather #Summer #HotDay #RecordBreakingHottestDay #HottestDayOnRecord #Asparagopsis #RedSeaweed #Seaweed
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@ChiralTheAlien The #hottest I've ever experienced was nearly 44 C (111 F to be exact here) in #Sept of 2000. I was in high school #marchingband outside and we just all wanted to die. #Instruments got too hot to hold after about 30 minutes of the #sun so we would try to #shade them the best we could during breaks or the guys would wrap our shirts around the part they held.