报告题目：Integrable Birkhoff billiards inside cones
报 告 人：Andrey Mironov
所在单位：Sobolev Institute of Mathematics
报告时间：2025年2月21日 10:30-12:30
报告地点：吉林大学数学楼第五研讨室
报告摘要: The classical Birkhoff conjecture states that if the plane billiards inside a closed smooth convex curve is integrable then the curve is an ellipse. In higher dimensions, all known integrable billiards are inside billiard tables consisting of pieces of quadrics. We study Birkhoff billiards in convex cones in Rn and prove that billiards in any C3-smooth convex cone are integrable. This provides the first examples of integrable billiard tables in Rn not related to quadrics.
报告人简介：Professor Andrey Mironov is the acting director of Sobolev Institute of Mathematics, Corresponding member of Russian Academy of Sciences. His research interest includes Integrable Systems, Geometry, Mathematical Physics and Dynamical Systems.
