Meeting Details

Title: Billiard table as a mathematician's playground PMASS Colloquium Anatole Katok, The Pennsylvania State University The title of this lecture may be understood in two ways. Literally, in a somewhat lighthearted way: mathematicians play by launching billiard balls on tables of various forms and observe (and also try to predict) what happens. In a more serious sense, the expression playground'' should be understood as testing grounds'': various questions, conjectures, methods of solution, etc. in the theory of dynamical systems are tested'' on various types of billiard problems. I will try to demonstrate using some accessible examples that at least the second interpretation deserves a serious attention.