Graduate Student Seminar

Title: What is Intersection Homology?
Speaker: Chris Elliott
Speaker Info: 2nd Year
Brief Description:
Special Note:

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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