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.