## EVENT DETAILS AND ABSTRACT

**Topology Seminar**
**Title:** RO(Z/p)-graded cohomology of some classifying spaces

**Speaker:** Megan Guichard Shulman

**Speaker Info:** University of Chicago

**Brief Description:**

**Special Note**:

**Abstract:**

When dealing with G-spaces for a finite group G, there are many reasons
to think that RO(G)-graded Bredon cohomology is the ``correct''
equivariant cohomology theory to consider. Unfortunately, it is also
very difficult to compute with. Gaunce Lewis calculated the
RO(Z/p)-graded cohomology of complex projective spaces in the 1980s, and
William Kronholm calculated the RO(Z/2)-graded cohomology of some real
projective spaces in his 2008 thesis, but to date no other calculations
have been done. In this talk, I will describe an equivariant spectral
sequence which can be used in conjunction with the equivariant Serre
spectral sequence and the equivariant cohomology of complex projective
spaces to identify the RO(Z/p)-graded cohomology of the equivariant
classifying space B_{Z/p} O(2).

**Date:** Monday, March 08, 2010

**Time:** 4:10pm

**Where:** Lunt 104

**Contact Person:** Prof. Paul Goerss

**Contact email:** pgoerss@math.northwestern.edu

**Contact Phone:** 847-491-8544

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