## EVENT DETAILS AND ABSTRACT

**Graduate Student Seminar**
**Title:** What is Intersection Homology?

**Speaker:** Chris Elliott

**Speaker Info:** 2nd Year

**Brief Description:**

**Special Note**:

**Abstract:**

The theory of singular homology and cohomology of manifolds is
a powerful tool in understanding the topology of smooth spaces, such as
smooth algebraic varieties over the complex numbers. But what if -- as
is often the case in algebraic geometry -- the spaces we want to
consider typically have singularities? In this case foundational
theorems such as Poincare duality no longer hold. In my talk I will
explain the concept of Intersection Homology, as originally introduced
by Goresky and Macpherson to deal with precisely this situation. This
is a kind of homology theory for spaces with singularities in which one
can recover many of the nice results that are true of homology of smooth
manifolds. I will assume no knowledge of topology or algebraic geometry
beyond basic notions of singular homology.

**Date:** Tuesday, October 18, 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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