John Greenlees

Thursday, July 25, 2013 - from 11:00
to 12:00

Abstract:

There is a complete algebraic model A(G) for rational G-equivariant cohomology theories for
a torus G. The category A(G) has a formal structure very similar to that of a category of sheaves
over an algebraic variety, and this means that suitable algebraic geometric data lets one write
down an object of A(G) representing a cohomology theory E^*_G(.). The most familiar example
comes from a complex elliptic curve, giving rise to equivariant elliptic cohomology, but related
constructions give other interesting examples. (Joint with Brooke Shipley and Pokman Cheung).