Atiyah-Singer Index Seminar

Thu., Oct. 29, 2015 10:00 a.m.

Location: RIC 215

Speaker: Asghar Ghorbanpour
Title: Toeplitz operators and their index theory
Abstract:
The Toeplitz operators is an important class of operators on
$l^2(S^1)$ which has been studied in different settings. The index
theory for the Fredholm Toeplitz operators, which was worked
out in fifties, is a very good example of what an index theorem is.
One can compute the index of a Toeplitz operator by finding the
winding number of its symbol rather than finding the dimension
of kernel and cokernel. We will study the topic in details.