Charlotte Scott Centre for Algebra

On Wednesday the 6th of April 2022,**Josh Maglione**(Bielefeld University) will be giving an online seminar on his research at 3pm. The details of his talk are as follows:

Title: Flag Hilbert-Poincaré series and related zeta functions

Abstract: We define a class of multivariate rational functions

associated with hyperplane arrangements called flag Hilbert-Poincaré

series. We show how these rational functions are connected to Igusa zeta

functions and class counting zeta functions for certain graphical group

schemes studied by Rossmann and Voll. We report on a general

self-reciprocity result and explore other connections within algebraic

combinatorics.

This is joint work with Christopher Voll and with Lukas Kühne.

## Leave a Reply