שלחו לחבר

# Random permutations sampled by surface groups

Seminar
Speaker
Doron Puder (Tel-Aviv University)
Date
29/11/2020 - 15:30 - 14:00
Place
Zoom
Abstract

Let  $\Gamma_g$  be the fundamental group of the closed orientable surface of genus $g$,  namely,  $\Gamma_g=\langle a_1,b_1,\ldots,a_g,b_g \mid [a_1,b_1]\cdots[a_g,b_g]\rangle$. Fix an element $\gamma\in\Gamma_g$  and let  $\phi\colon\Gamma_g\to S_N$  be a uniformly random homomorphism to the symmetric group  $S_N$.

We develop new techniques to study the random permutation  $\phi(\gamma)$,  and derive several results which are analogous to well-known results when  $\Gamma_g$  is replaced with a free group.

This is joint work with Michael Magee.

תאריך עדכון אחרון : 24/11/2020