## EVENT DETAILS AND ABSTRACT

**Graduate Student Seminar**
**Title:** What is Cobordism?

**Speaker:** Philip Egger

**Speaker Info:** 2nd Year Graduate Student

**Brief Description:**

**Special Note**:

**Abstract:**

Given two oriented n-manifolds P and Q, we say that P and Q are cobordant if there exists an oriented (n+1)-manifold W with boundary the disjoint union of P and Q. This is an equivalence relation, and the set of classes forms a group. Using well-known results about cohomology of infinite real Grassmannians and the Thom spaces of the associated tautological bundles,
we will see that this group is finite when n is not a multiple of 4.
Furthermore, when n=4r, the group is finitely generated with rank p(r),
the number of partitions of r.

**Date:** Tuesday, November 08, 2011

**Time:** 5:00pm

**Where:** Lunt 104

**Contact Person:** Boris Hanin

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

**Contact Phone:** 208-460-7919

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