Dia: Dimecres, 20 de març de 2024
Lloc: Aula T2 (segon pis), Facultat de Matemàtiques i Informàtica, UB.
A càrrec de: Edmond Koudjinan, Institute of Science and Technology Austria (ISTA)
Títol: On the Birkhoff conjecture for nearly centrally symmetric domains
Resum: 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 a nonstandard generating function discovered by Bialy-Mironov.
Last updated: Sun Mar 17 23:20:30 2024