Edmond Koudjinan (Institute of Science and Technology, Austria): On non co-⁠existence of $2$- and $2m+1$-rational caustics.

BudWiSer - The Budapest - Wien Dynamics Seminar 

Abstract: 
In this talk, I will discuss recent results concerning the question of co-existence of two rational caustics by nearly circular billiard tables. In particular, I will give a partial answer to a conjecture by Tabachnikov. This is based on a joint work with Vadim Kaloshin.