Stochastically evolving ellipsoids, symmetries and AI

par Nihar Gargava (Orsay)

mardi 7 juil. 2026, 14:00 → 15:00 Europe/Paris

C004 (bât. Nautibus) (ICJ)

In this talk, I will explain how one can generalize Klartag's method of stochastically evolving ellipsoids to create improvements in the best known sphere packing densities in infinitely many dimensions. The result multiplies a modest factor of log log d to the packing density, where d is the dimension. I will talk about the mathematics behind the result, the role of AI and some personal opinions about mathematics in the era of proof abundance.

Joint work with Elisha Abuya and Yufei Zhao, arXiv:2606.05105