Homology growth: an overview

Speaker:

Boris Okun

Affiliation:

UW Milwaukee

Date:

Tue, 14/05/2024 - 14:00 - 15:00

Location:

MPIM Lecture Hall [2]

Parent event:

Conference on "Homology growth in topology and group theory" [3]

I will describe several ways of measuring homology growth, and their connections to $L^{2}$-homology and local homology with coefficients in skew fields. I will also discuss some properties of the resulting invariants and some open problems.

Partially based on a joint work with Grigori Avramidi(MPIM) and Kevin Schreve(LSU).