# Topology Seminar - Professor Robert Bruner

This event is in the past.

**Date:**March 22, 2022

**Time:**1:30 p.m. - 2:30 p.m.

**Category:**Seminar

**Speaker:** Professor Robert Bruner, Wayne State University Department of Mathematics

**Title: **Torus equivariant real connective K-theory

**Abstract:** Motivated by applications to toric manifolds, a 9-author paper

in 2010 determined the ring KO^*(BT^n), where T^n is the n-torus,

the product of n copies of the circle group. Inspired by this, I worked

out the equivariant connective K-theory. It turns out to have a couple

of natural descriptions, and recovers the earlier calculation by inverting

the Bott map and then completing with respect to the augmentation

ideal. The equivariant ring is in many respects simpler. The quaternionic

analog of the torus, Sp(1) x ... x Sp(1), plays an essential role in our

description.

## Contact

Department of Mathematics

313-577-2479

math@wayne.edu