On Yuansi Chen's Work on the KLS Conjecture II
Offered By: Hausdorff Center for Mathematics via YouTube
Course Description
Overview
Explore a 46-minute lecture by Bo'az Klartag at the Hausdorff Center for Mathematics, delving into recent advancements in the Kannan-Lovasz-Simonovits (KLS) conjecture and its implications for the slicing problem. Examine the isoperimetric problem in high-dimensional convex bodies, focusing on the optimal partitioning method to minimize interface. Learn about the conjecture's suggestion that bisecting with a hyperplane provides the optimal solution, up to a universal constant. Discover the connection between the KLS conjecture and Bourgain's slicing conjecture. Investigate Eldan's Stochastic Localization technique, a key method in recent progress. While the lecture aims to minimize prerequisites, familiarity with log-concave measures and basic concepts in stochastic differential equations will enhance understanding.
Syllabus
Bo’az Klartag: On Yuansi Chen’s work on the KLS conjecture II
Taught by
Hausdorff Center for Mathematics
Related Courses
On Yuansi Chen's Work on the KLS Conjecture IIIHausdorff Center for Mathematics via YouTube On Yuansi Chen's Work on the KLS Conjecture I
Hausdorff Center for Mathematics via YouTube Introduction to Optimal Transportation and Monge Ampère Type Equations - Lecture 2
ICTP Mathematics via YouTube Isoperimetric Problem- From Classical to Reverse I
Hausdorff Center for Mathematics via YouTube Isoperimetric Problem- From Classical to Reverse II
Hausdorff Center for Mathematics via YouTube