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On Yuansi Chen's Work on the KLS Conjecture I

Offered By: Hausdorff Center for Mathematics via YouTube

Tags

Convex Geometry Courses Stochastic Differential Equation Courses Isoperimetric Problem Courses

Course Description

Overview

Explore the Kannan-Lovasz-Simonovits (KLS) conjecture and recent progress towards its resolution in this 46-minute lecture by Bo'az Klartag. Delve into the isoperimetric problem in high-dimensional convex bodies, examining optimal partitioning methods and their implications. Learn about the connection between the KLS conjecture and Bourgain's slicing conjecture, and discover the key technique of Eldan's Stochastic Localization. Cover topics such as log-concave measures, boundary measure, convexity, partitioning, and normalization. Gain insights into the relevance, applications, and motivations behind this mathematical problem, with a focus on recent proofs and advancements in the field.

Syllabus

Intro
KLS conjecture
Boundary measure
Convexity
Partitioning
Normalization
Is it relevant
Applications
Motivations
Proofs


Taught by

Hausdorff Center for Mathematics

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