Isoperimetric inequalities in high-dimensional convex sets

Boʼaz Klartag; Joseph Lehec

doi:10.1090/bull/1869

August 13, 2025Bulletin of the American Mathematical SocietyOpen Access

Isoperimetric inequalities in high-dimensional convex sets

View Full Paper

Ask AI

Bookmark

Share

Key Points

Recent progress towards Bourgain’s slicing problem highlights key advances in high-dimensional geometry.
The lecture notes explore the isoperimetric conjecture proposed by Kannan, Lovasz, and Simonovits.
These findings contribute to our understanding of isoperimetric inequalities within convex sets.
The notes summarize ongoing research and open questions in the field of high-dimensional convex analysis.

Implication

Lecture notes address recent advances in Bourgain's slicing problem and the KLS isoperimetric conjecture.

Abstract

These are lecture notes focusing on recent progress towards Bourgain’s slicing problem and the isoperimetric conjecture proposed by Kannan, Lovasz, and Simonovits (KLS).

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Klartag et al. (2025) studied this question.

synapsesocial.com/papers/68de5d9383cbc991d0a20174 https://doi.org/10.1090/bull/1869

View Full Paper

Ask AI

Bookmark

Share

Isoperimetric inequalities in high-dimensional convex sets

Key Points

Implication

Abstract

Discussion

Cite This Study

Isoperimetric inequalities in high-dimensional convex sets

Key Points

Implication

Abstract

Discussion

Cite This Study

Keep reading

Keep reading