Random permutations sampled by surface groups | המחלקה למתמטיקה

Seminar

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 - המחלקה למתמטיקה 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.

תאריך עדכון אחרון : 24/11/2020