José Manuel Gómez

In this talk I show that the space of almost commuting elements in a compact Lie group G splits after one suspension.

In this talk we outline the main ideas that come upon the computation of quotients of tori by actions of Z/p induced by linear representations of Z/p. These are called toroidal orbifolds. The talk will be aimed to a general audience. This is joint...

This is a working seminar on the homotopy theory of moduli spaces

This is a working seminar on the homotopy theory of moduli spaces

Let G be a compact connected Lie group act on a topological space X in such a way that all isotropy subgroups are connected and of maximal rank. In this talk we provide a criterion to determine when K_{G}^{*}(X) is free over the representation ring R...

The main goal of this talk is to introduce transitionally commutative principal G-bundles and to show that they can be classified homotopically using a space B_comG that is called the classifying space for commutativity in G. In the second half of...