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# Atiyah-Singer Index Seminar

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

**
Location: RIC 215
**

**Speaker:**Asghar GhorbanpourToeplitz operators and their index theory II**Title:****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.