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Workshop

Igusa zeta functions and flag Hilbert--Poincaré series

  • Josh Maglione (Universität Bielefeld)
E1 05 (Leibniz-Saal)

Abstract

We define a class of multivariate rational functions associated with hyperplane arrangements called flag Hilbert--Poincaré series, and we show these rational functions are closely related to Igusa local zeta functions and other generating functions. We report on a general self-reciprocity result and explore other connections within algebraic combinatorics via Hilbert series of Stanley--Reisner rings. This is joint work with Christopher Voll.

Saskia Gutzschebauch

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Enis Kaya

University of Groningen

Avinash Kulkarni

Dartmouth College

Antonio Lerario

SISSA

Mima Stanojkovski

RWTH Aachen and Max Planck Institute for Mathematics in the Sciences