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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.