Past Events
Taut foliations are an important and historically significant structure on 3-manifolds.The modern L-space conjecture makes a prediction about which rational homology spheres can admit a taut foliation. But where could the predicted taut foliations "come from"? Must they be compatible with “…
Not every cork is strong, but many are strong. Meanwhile, many corks are given by involutions and hence have order two. Nonetheless, there exist infinite-order corks, constructed by Gompf. To celebrate the 10th anniversary of their introduction, we will discuss their strength.
We prove the Riemannian positive mass theorem up to dimension 19, building on a combination of torical symmetrization and the singularity blow-up technique, together with the generic regularity theory for area-minimizing hypersurfaces developed by Chodosh, Mantoulidis, Schulze and Wang. This is…
"Some consequences of the Riemann hypothesis for varieties over finite fields" by Katz-Messing
Starting from first principles, I will derive (a variant of) the GRPO algorithm, one of the most widely used algorithms for post-training large language models. Then I will sketch how this algorithm is implemented at scale. Finally, I will briefly describe an important open problem known as…
The Lonely Runner Conjecture, due to Wills and Cusick, asserts that if n runners with distinct constant speeds run around a unit length track, all starting at a common point, then each runner is at some moment separated by a distance of at least 1/n from every other runner.
A weaker…
We study the open KPZ equation, a prototypical one-dimensional random growth model subject to boundary conditions. Using stochastic analytic tools, we show that a suitably resampled Brownian motion describes its long-time behavior.
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