Noncommutative Geometry Seminar

Date: March 31, 2023

Time: 2:00PM - 3:00PM

Location: BLOC 624

Speaker: Weichen Gu, University of New Hampshire

Title: On the zeta-function of some non-commutative semigroups

Abstract: In this talk we introduce a framework on the zeta-functions of some non-commutative semigroups, including the Thompson semigroup and braid semigroups. A generalization $\kappa(n)$ of the Möbius function related to the Thompson group is given, and we will use $\kappa(n)$ to extend the zeta-function of the hompson semigroup to the complex half plane with real part greater than 1/2, and prove that the real pole closest to 1 is a simple pole.