Date: Tuesday, November 06, 2007
Title: Large scale index theory
Abstract: The Atiyah Singer index theorem relates analysis and topology through the crucial notion of the Fredholm index of an elliptic operator (this is basically linear algebra: the difference between how much existence and how much uniqueness there is for solutions of a given equation). In this talk I will explain how forming the index can be viewed as a process of coarsening forgetting small scale structure. This leads to new versions of the index theorem on spaces that lack the compactness property necessary for the usual elliptic/Fredholm theory. The talk will be accessible to graduate students.
Speaker: John Roe
Institution: Penn State University
