学术报告(6.20): Ke Zhang:Marked length spectrum rigidity for real analytic Birkhorff billiards
报告人:Prof. Ke Zhang (加拿大多伦多大学)
报告时间:6月20日下午15:00-16:00
报告地点:精正楼一楼报告厅
报告摘要:Marked length spectrum rigidity asks whether the lengths of closed geodesics marked by homotopy determines the geometry of the space. In this talk, I will explain that this rigidity holds for a generic real analytic Birkhoff billiard with two reflection symmetries. Without the symmetry assumption, we show that the marked length spectrum determine the billiard map up to symplectic conjugacy on part of the phase space. This is based on joint work with Vadim Kaloshin and Martin Leguil.
邀请人:陈剑宇