Algebra/Topology Seminar

Speaker: Simon Gritschacher

Title: On the homology of spaces of commuting elements in Lie groups

Abstract: In this talk I will discuss the structure of spaces of commuting elements in a compact Lie group G. In particular, I will sketch a computation of the second homotopy group of the variety of commuting pairs in G. If time permits, I will relate spaces of commuting unitary matrices to Hochschild homology and explain how this may be used in homology calculations. This talk is based on joint work with Alejandro Adem and Jose Manuel Gomez, and some work in progress with Markus Hausmann.

The physical location of the seminar will be the auditorium 3 at the mathematical institute. If you would like to attend online and need the Zoom password, contact the organisers.