Mathematical Colloquim
PROGRAM
ODELJENJE ZA MATEMATIKU MATEMATIČKOG INSTITUTA SANU |
PROGRAM ZA APRIL 2016.
NAPOMENA: Predavanja ce se odrzavati u Sali 301f na trecem spratu Matematickog instituta SANU, Knez-Mihailova 36 (zgrada preko puta SANU).
Petak, 8.04.2016. u 14:15h, Sala 301f, MI SANU
Bojan Marinkovic, Matematicki institut SANU, Beograd
POVEZIVANJE HETEROGENIH PREKRIVAJUCIH MREZA
Na predavanju ce biti predstavljeni definicija i formalni dokaz nekih
svojstava heterogenih prekrivajucih (overlay) mreza. Bice prikazani opisi
protokola Kord (Chord) i Sinapsa (Synapse) pomocu formalizma masina
apstraktnih stanja, kao i dokaz korektnosti formalizacije protokola Kord.
Dacemo i verovatnosnu ocenu uspesnosti pretrage prilikom koriscenja
protokola Sinapsa.
Ponedeljak, 18.04.2016. u 14:15h, Sala 301f,MI SANU
Anton Zoric, Mathematical Institute of Jussieu - PRG, University Paris 7
THE MAGIC WAND THEOREM OF ESKIN-MIRZAKHANI-MOHAMMADI AND DIFFUSION IN
PERIODIC BILLIARDS
I plan to 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.
I will show 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.