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HILO DE TEOREMAS DE TOPOLOGÍA ALGEBRAICA
Un calendario de adviento con teoremas de topología algebraica e hilos de comentarios de cada teorema
Toda mi admiración y apoyo a Jafar Panahi, además de hacer cine cojonudo es una persona de principios lavanguardia.com/cultura/202…
Carles Sáez retweeted
The largest math proof in human history is now computer-verified.
Today, Axiom announces a complete Lean auto-formalization of the Classification of Finite Simple Groups, the "periodic table of symmetry."
About 15,000 pages, built by over 100 mathematicians across generations.
Replying to @elmundoes
Los echan por la IA, no porque les sustituya la IA sino por crear Copilot, la peor IA de la historia
Sinceramente, si un ML engineer sin formación estadística puede hacer lo mismo que un data scientist con Claude, es que el data scientist muy bueno no debía ser (o las cosas de DS que se hacen en la empresa son chorradas)
Carles Sáez retweeted
Agreed. The people need to know these cutting edge breakthroughs.
@OpenAI just ask your clanker to write a popular math summary of your results and poast a Quanta article (btw automate @QuantaMagazine while you're at it, it's 100% automatizable and there's lots of revenue alpha there in making a popular science magazine that can pay off your compute debt) and communicate it directly with the commonfolk aka the Tax Payers. No need for mathematicians to be the middle men.
Theorems, by the people, for the people, of the people.
Replying to @nihilunbounded
Even better if they never shared the obtained results publicly and shipped them directly to the Taxpayers individually. Stop the tyrany of ivory tower mathematicians. Let mathematics be communicated directly to people
Carles Sáez retweeted
Word on the street is that OpenAI gave a 25 page proof of Sogge's local smoothing conjecture which implies Bochner-Riesz conjecture which implies Fourier restriction conjecture which implies Kakeya maximal function conjecture which implies Kakeya (aka Besicovitch) conjecture, and it completely bypasses last two decades of painstaking progress in harmonic analysis just by doing elliptic PDEs and nukes the entire Kakeya pipeline from the orbit.
I don't know any of this beyond superificial word of mouth, but I'm just putting this out there to say that maybe someone should check on Terry Tao.
Carles Sáez retweeted
We are announcing three new discoveries in mathematics, computer science, and physics about harmonic analysis, complexity theory, and quantum field theory.
openai.com/index/building-sc…
Carles Sáez retweeted
Yang-Mills en 4D cocinado
Replying to @AndrewCurran_
The Exponential Time Hypothesis is false.
Quoting:
'Our models produced a natural language proof for Yang–Mills existence on September 9th, 2026, and then subsequently produced a proof for QCD on September 18th, 2026. Given the length and complexity of the work, we postponed release until the Lean formalization completed. We finished our formalization of Yang–Mills’ existence on October 16th, 2026, which led us to develop the collaboration described here.'
Carles Sáez retweeted
Navier-Stokes SNAGGED
Kakeya & restriction conjecture OBLITERATED
4D Yang-Mills existence SCOOPED
TRIPLE KILL. ULTRA KILL. MONSTER KILL
C C C C COMBO
Carles Sáez retweeted
Buenísima imagen, elijas lo que elijas te vas a comer la misma hamburguesa de mierda
Carles Sáez retweeted
Today I was trying to give a good, geometric proof of the Loomis-Whitney inequality. It states that for a measurable subset E in R^d, vol(E)^d-1 is bounded by the product of areas of the projections of E to the d coordinate hyperplanes.
A very simple corollary of this inequality is the Euclidean isoperimetric inequality with non-sharp constants in every dimension, because area of the projection can be compared upto a factor of 2 with the area of the boundary of E.
Carles Sáez retweeted
Man is born free, yet everywhere he is a homomorphic image subject to nontrivial generator relations
Carles Sáez retweeted
There is an (unpatchable?) supply-chain zero-day in PyTorch autograd that allows a regularization term to use the model's weights as RAM and SGD as its CPU clock to run any computation during training.
Carles Sáez retweeted
Replying to @csaez_math
Chairman of the More Slopbots Party: "I didn't think people would use the Slopbots to write things for ME to read!"
This is wild. I genuinely believed it was parody at first
This was so foreseeable (indeed my early prediction when ChatGPT came out) but a lot of tech people have a hard time understanding that the hypothetical enriching use of a tech loses out to the lazy corner cutting use 99.9% of the time theguardian.com/technology/2…




























