Local strong Birkhoff conjecture of almost every ellipse
数学专题报告
报告题目(Title):Local strong Birkhoff conjecture of almost every ellipse
报告人(Speaker):Illya Koval(Institute of Science and Technology Austria)
地点(Place):后主楼1223
时间(Time):2026年5月12日(周二)14:00-15:00
邀请人(Inviter):苏喜锋
报告摘要
The Birkhoff conjecture says that the boundary of a strictly convex integrable billiard table is necessarily an ellipse. We will consider a stronger notion of integrability, namely, integrability close to the boundary, and explain the proof of a local version of this conjecture: a small perturbation of almost every ellipse that preserves integrability near the boundary, is itself an ellipse.