3:30 p.m., Friday
Professor Richard Melrose
Determinants, bundles and Chern classes
Starting with the Fredholm determinant, I will describe various
extensions of the determinant from matrices to operators. In particular I
will indicate how the determinant bundle, with connection, for Dirac
operators (as introduced by Quillen then Bismut and Freed) can be defined
directly on groups of pseudodifferential operators and the relation of this
to work of Kontsevich and Vishik.
Refreshments will be served in Math Annex Room 1115, 3:15 p.m.