Manchester Geometry Seminar 2009/2010

Thursday 11 February 2010. The Frank Adams Room 1 (Room 1.212), the Alan Turing Building. 4.15pm

Morse Theory for Invariant Functions

James Montaldi (University of Manchester)

Morse theory relates the topology of a manifold with the numbers of critical points of a function of different indices, in particular through the Morse inequalities. After reminding the audience how this works, I will proceed to describe how it can be adapted to deal with functions that are invariant under the action of a (finite) group, where the inequalities become inequalities between representations. This is a report on work by Gemma Lloyd for her thesis.