Number Theory Web Seminar: Winnie Li (Pennsylvania State University)

Group based zeta functions

The theme of this survey talk is zeta functions which count closed geodesics on objects arising from real and p-adic groups. Our focus is on PGL(n). For PGL(2), these are the Selberg zeta function for compact quotients of the upper half-plane and the Ihara zeta function for finite regular graphs. We shall explain the identities satisfied by these zeta functions, which show interconnections between combinatorics, group theory and number theory. Comparisons will be made for zeta identities from different background. Like the Riemann zeta function, the analytic behavior of a group based zeta function governs the distribution of the prime geodesics in its definition.

For further information about the seminar, please visit this webpage.

Veranstaltung übernehmen als iCal