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.


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…

View original post 40 more words

Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

This site uses Akismet to reduce spam. Learn how your comment data is processed.

© School of Mathematics and Physics, University of Lincoln, Brayford Pool, Lincoln, LN6 7TS, United Kingdom
%d bloggers like this: