Random permutations sampled by surface groups

Seminar
Combinatorics
Speaker
Doron Puder (Tel-Aviv University)
Date
29/11/2020 - 15:30 - 14:00Add to Calendar 2020-11-29 14:00:00 2020-11-29 15:30:00 Random permutations sampled by surface groups Let    be the fundamental group of the closed orientable surface of genus ,  namely,  . Fix an element   and let    be a uniformly random homomorphism to the symmetric group  . We develop new techniques to study the random permutation  ,  and derive several results which are analogous to well-known results when    is replaced with a free group. This is joint work with Michael Magee. Zoom אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
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.

Last Updated Date : 24/11/2020