Algebra Seminar by Michele Zordan

Charlotte Scott Centre for Algebra

On Wednesday the 16th of December 2020, Michele Zordan (Imperial College London) will be giving an online seminar at the Charlotte Scott Centre for Algebra at the University of Lincoln. His talk will be at 3pm and the details of his talk are as follows:

Title: Rationality of the representation zeta function for compact $p$-adic analytic groups.

Abstract:

Let $Gamma$ be a topological group such that the number $r_n(Gamma)$ of its irreducible continuous complexcharacters of degree $n$ is finite for all $ninmathbb{N}$. One goal in studying a sequence of numbers is to show thatit has some sort of regularity. Working with zeta functions, this amounts to showing that the Dirichlet generatingfunction related to that sequence is rational.
Rationality results for the zeta function related to $r_n$ have been first obtainedby Jaikin-Zapirain forFAb $p$-adic analytic groups and for almostall primes $p$.In this talk we shall see a new unified proof (joint…

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