# Upcoming Talks

The seminar will meet at 4:30pm on Tuesdays in Eckhart room 203 unless otherwise noted. There will also be a pretalk at 3pm in the same room.

• Oct 032017

### Clover May (University of Oregon)

#### A structure theorem for RO(G)-graded cohomology

Computations in RO(G)-graded Bredon cohomology can be challenging and are not well understood, even using coefficients in a constant Mackey functor. In this talk I will present a structure theorem for RO(C2)-graded cohomology with \mathbbZ/2 coefficients that substantially simplifies computations. The structure theorem says the cohomology of any finite C2-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 sketch the proof, which depends on a Toda bracket calculation, and give some examples.

• Oct 102017

TBA