## Topology Seminar: Clover May

- Date: 03/21/2018
- Time: 15:15

University of British Columbia

A structure theorem for RO(C_2)-graded cohomology

Computations in RO(G)-graded Bredon cohomology can be challenging and are not well understood, even for G=C_2, the cyclic group of order two. In this talk I will present a structure theorem for RO(C_2)-graded cohomology with constant Z/2 coefficients that substantially simplifies computations. The structure theorem says the cohomology of any finite C_2-CW complex decomposes as a direct sum of two basic pieces: shifted copies of the cohomology of a point and shifted copies of the cohomologies of spheres with the antipodal action. I will give some examples and sketch the proof, which depends on a Toda bracket calculation.

Time and location: ESB 4133

Wed 21 Mar 2018, 3:15pm-4:15pm