James Montaldi (University of Manchester)
j.montaldi@manchester.ac.uk
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.