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题目：Marked length spectrum rigidity for real analytic Birkhorff billiards

报告人：张可,  University of Toronto

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.

报告人简介：张可, 加拿大多伦多大学数学系教授。研究领域为动力系统，在 Acta Math.、Invent. Math.、Ergod. Theory Dyn. Syst.、Commun. Math. Phys.、Nonlinearity 等国际顶尖期刊发表学术论文 20 余篇。

报告时间：2025年6月16日（周一）上午10:30-11:30

报告地点：教二323

联系人：魏巧玲