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Integrable Billiards and Rigidity - Lecture 1

Offered By: Centre de recherches mathématiques - CRM via YouTube

Tags

Geometric Analysis Courses Rigidity Theory Courses Symplectic Geometry Courses Integrable Systems Courses Billiards Courses

Course Description

Overview

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Explore the recent advancements in the Birkhoff-Poritsky conjecture for convex billiards in the plane during this CRM Nirenberg Lecture in Geometric Analysis. Delve into Misha Bialy's approach to the conjecture, which is rooted in E. Hopf type rigidity from Riemannian geometry. Gain insights into the original Hopf method and its extension to Twist symplectic maps and billiards. Examine a criterion for local maximality of billiard orbits using Jacobi fields. Learn about the conjecture that posits ellipses as the only integrable convex billiards and the progress made in this area of mathematical research.

Syllabus

Misha Bialy: Integrable billiards and rigidity I


Taught by

Centre de recherches mathématiques - CRM

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