We’re sharing a solution to the Navier-Stokes Millennium Prize Problem, one of the deepest problems at the frontier of mathematics.
The proof was produced by a group of agents, using an OpenAI next-generation model significantly more capable than GPT-6 Astra.
The problem concerns whether the description of smooth three-dimensional fluid motion modeled by the Navier-Stokes equations can break down. It has remained unresolved for roughly 90 years.
The most influential mathematician of his generation stands in a German lecture hall and explains a foundation he is rebuilding from scratch. Almost nobody watches it.
This is Peter Scholze at Bielefeld University, November 2025, opening lecture of a new public series called Ars Mathematica.
Scholze became a full professor at 24 and won the Fields Medal at 30. His work on perfectoid spaces reorganized entire areas of arithmetic geometry inside a decade.
Condensed mathematics is his attempt to fix something deeper: the way analysis and algebra refuse to sit together properly. He is proposing new foundations for how mathematical objects carry topology.
Watch how he pitches it to a general audience. No prerequisites assumed, no dilution, a working mathematician showing why abstraction opens rooms you could not otherwise enter.
A researcher I know rewatched the middle section twice and said it was the first time condensed mathematics felt like an idea rather than a rumour.
Free on YouTube from a university channel, subtitles on.
Some people prove theorems. He is replacing the floor.
yall treat the actors like this and wonder why they spite the fanbase so much?
like has the actress even said anything negative about the fandom? I dont really understand dragging her down like this.
Qué absoluta desgracia. Qué absoluta tristeza. Y qué mierda es esta vida a veces. No sé ni que decir. Descansa en paz, Gaspi.
Un fuerte abrazo a toda la familia y amigos.
Me encanta cómo George R.R. Martin es de los pocos escritores que se atreve a decir en voz alta lo que muchos pensamos.
“En todas partes hay guionistas y productores ansiosos por tomar grandes historias y ‘hacerlas suyas’. No importa si el libro es de Tolkien, Jane Austen, Mark Twain o quien sea… siempre hay alguien que cree que puede mejorarlo. ‘El libro es el libro, la película es la película, te dicen, como si eso fuera una verdad profunda. Luego hacen la historia suya. Nunca la mejoran. 999 veces de cada 1000, la empeoran.”
¿Qué adaptaciones recientes creéis que mejor representan ese 999 de cada 1000 del que habla Martin?
A diferencia de la época de la Nintendo 64/PS1 ahora te cobran por DLCs y cosméticos. En las IPs famosas los juegos están más mercantilizados que nunca con muñecos, posters e incluso spinoffs y el mercado es más grande, si Mario Kart antes vendía 5m ahora son 50m.
Resumiendo que le cuentes tus mierdas a otro, las empresas de videojuegos generan más dinero que nunca y aun así nosotros tenemos que pagar más.
Es como Mercadona quejándose y diciendo que están "obligados" a subir los precios y simultáneamente presentando los mejores resultados de su historia.
Fuck off.
Todas las escenas eliminadas de las 8 películas de Harry Potter recopiladas en un hilo y subtituladas. 69 escenas que ningún fan de la saga se puede perder.
‘BLACK MYTH: WUKONG’ has already become the most played single-player game of all time on Steam.
The game has had nearly 2 million concurrent players.
(Source: https://t.co/nlgC1aCZVT)
This is one of the hardest photos we’ve restored and colored, and perhaps one of the most necessary.
These two men are showing their liberators what their work was like as part of the Sonderkommando at Dachau camp. But what was the Sonderkommando?
Thread:
Robert Sapolsky, neurocientífico: "Si todo el mundo entendiera que no somos dueños de nuestras decisiones, el mundo se derrumbaría" https://t.co/P6svvLPPUZ