Integrable Billiards and Rigidity - Lecture 1
Offered By: Centre de recherches mathématiques - CRM via YouTube
Course Description
Overview
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
Related Courses
Superdiffusion, Subdiffusion, Integrability - Sarang GopalakrishnanKavli Institute for Theoretical Physics via YouTube The Computational Theory of Riemann-Hilbert Problems - Lecture 4
International Centre for Theoretical Sciences via YouTube Forced Integrable Systems - The Case of Sine-Gordon Equation by Vasudeva Murthy
International Centre for Theoretical Sciences via YouTube Basic Lectures on Bethe Ansatz - Pedagogical Lecture 2
International Centre for Theoretical Sciences via YouTube Finite-Size Effects in Integrable Systems - Lecture 3
International Centre for Theoretical Sciences via YouTube