Odeljenje za matematiku, 18. april 2016.

• 18. April,  2016
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Naredni sastanak Seminara biće održan u ponedeljak, 18. aprila 2016. u sali 301f Matematičkog instituta SANU sa početkom u 14 časova.

Predavač: Anton Zorich, Mathematical Institute of Jussieu - PRG, University of Paris 7

Naslov predavanja: THE MAGIC WAND THEOREM OF ESKIN-MIRZAKHANI-MOHAMMADI AND DIFFUSION IN PERIODIC BILLIARDS

Apstrakt: 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.

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