Time: 14:00-15:00, Friday, January 10 2025
Venue: E4-233, Yungu Campus
Host: Thierry De Pauw, ITS
Speaker: Federico Glaudo, Institute for Advanced Study
Biography：Dr. Glaudo graduated with a PhD at ETH Zürich in 2022 under the supervision of Alessio Figalli. Since then he has been a post-doctoral member at the Institute of Advenced Study, Princeton. He was the recipient of six medals at International Olympiads of Mathematics and of Informatics. His field of research is analysis.
Title: The Isoperimetric Problem in the Cube and Torus
Abstract: A renowned conjecture—described by A. Ros as one of the nicest open problems in classical geometry—proposes that the sets minimizing the perimeter among subsets of the 3-dimensional torus R3/Z3 with a fixed volume v are spheres, cylinders, or stripes (depending on the value of v). An equivalent conjecture applies to isoperimetric sets in the 3-dimensional cube (0,1)3.
In this colloquium, we will first introduce the isoperimetric problem as a quintessential geometric variational problem, and then focus on some recent progress related to the above-mentioned cube conjecture.
Part of the talk will discuss an ongoing project with G. Antonelli. It is aimed at a non-expert audience.
