talk by prof. Siye Wu

[Ugo Bruzzo]

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SISSA GEOMETRY SEMINARS
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Prof. Siye Wu (University of Hong Kong) will give a talk on

INDEX GERBE AND DIFFERENTIAL K-THEORY

on Thursday, May 23rd, at 2:30 pm in Room 136, SISSA
Building A.

Abstract: We discuss results on determinant line bundles of Bismut-Freed, Quillen and
Witten, the notion of index gerbe due to Carey-Mickelsson-Murray and Lott,
and the recent index theorem of Freed-Lott in differential K-theory. Then
we show, by calculations in differential K-theory, that for a family of
Riemannian manifolds of odd dimensions, the index in the odd differential
K-group maps to the Deligne cohomology class of the index gerbe. This is a
joint work with V. Mathai.

U. Bruzzo