YoVDO

On Yuansi Chen's Work on the KLS Conjecture II

Offered By: Hausdorff Center for Mathematics via YouTube

Tags

Convex Geometry Courses Stochastic Processes Courses Stochastic Differential Equation Courses Isoperimetric Problem Courses

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

Stochastic Processes
Indian Institute of Technology Delhi via Swayam
Probabilistic Methods in PDE
Indian Institute of Science Education and Research, Pune via Swayam
Advanced statistical physics
École Polytechnique Fédérale de Lausanne via edX
DeepOnet - Learning Nonlinear Operators Based on the Universal Approximation Theorem of Operators
MITCBMM via YouTube
Quantum Collapse Models and Awareness
Models of Consciousness Conferences via YouTube