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# Atiyah-Singer Index Seminar

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

**
Location: RIC 215
**

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