Atiyah-Singer Index Seminar

Thu., Nov. 5, 2015 10:00 a.m.

Location: RIC 215

Speaker: Asghar Ghorbanpour
Title: Toeplitz operators and their index theory II
Abstract:
The Toeplitz operators form an important class of operators
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.

If time permits, we will also try to study main components of elliptic
differential operator theory through an example.