Одељење за математику, 18. април 2016.

Наредни састанак Семинара биће одржан у понедељак, 18. априла 2016. у сали 301ф Математичког института САНУ са почетком у 14 часова.

Предавач: Anton Zorich, Mathematical Institute of Jussieu – PRG, University of Paris 7

Наслов предавања: THE MAGIC WAND THEOREM OF ESKIN-MIRZAKHANI MOHAMMADI AND DIFFUSION IN PERIODIC BILLIARDS

Апстракт: The lecture will start with a billiard in a plane endowed with periodic polygonal obstacles (Ehrenfest windtree model) to motivate a study of straight line foliations on „flat surfaces“ – analogs of irrational winding lines on a flat torus.

It will be shown how this model problem leads to dynamics in the space of all flat surfaces (which can be interpreted as the moduli space of Abelian differentials). The main goal is to advertise a recent breakthrough theorem of Eskin-Mirzakhani-Mohammadi in this area, which allows, in particular, to obtain unexpected results for the diffusion rate of the original periodic billiard.