Clover May

Equivariant surfaces and RO(G)-graded cohomology

When studying spaces with an action of a finite group G, a powerful equivariant analogue of singular cohomology is RO(G)-graded Bredon cohomology, graded by real representations of G. Computations in this setting are often challenging and not well understood, even for C_p, the cyclic group of order p. In this talk, I will introduce RO(G)-graded cohomology in the context of C_p-equivariant surfaces, along with some structural results making computations easier.