报告人：Vadim Kaloshin （奥地利科技学院）

时间：2025年7月31日，10:30-12:00

地点：海纳苑2幢203室

摘要: In this talk, I will discuss a recent advance on Birkhoff conjecture, namely a proof that : an integrable, nearly centrally symmetric Birkhoff billiard table is necessarily an ellipse. This is done by combining recent breakthroughs by Bialy-Mironov (who prove the conjecture for centrally symmetric Birkhoff billiard tables) and by Kaloshin-Sorrentino (who prove the conjecture for Birkhoff billiard tables close to ellipses). In particular, we shall discuss the use of nonstandard generating functions discovered by Bialy-Mironov. This is a joint work with Ke Zhang and E. Koudjinan, Geometric and Functional Analysis, 2024.

联系人：席亚昆（yakunxi@zju.edu.cn）