The limit operator symbol

GAP Seminar

Meeting Details

For more information about this meeting, contact Eyal Subag, Ping Xu, Mathieu Stiénon, Nigel Higson.

Speaker: John Roe, Penn State

Abstract: The familiar symbol of a pseudodifferential operator is a matrix-valued function which has the property that, if the symbol is invertible, the operator is Fredholm. In this talk I will discuss the index theory of "band dominated" operators which leads to an abstract version of this symbol calculus (reducing to the pseudodifferential version in a very special case). For many years this theory was incomplete; it was only recently completed by Lindner-Seidel (in the free abelian case) and then Spakula-Willett in general. I'll explain what the question was, how it was resolved, and what might happen next.


Room Reservation Information

Room Number: 106 McAllister

Date: 09/22/2015

Time: 2:30pm - 3:30pm