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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.