Algebraic Geometry Seminar
Monday, November 30, 2009, 4:30pm, 205 Physics
Asher Auel (Emory University)
Essentially self-dual vector bundles on algebraic varieties

Abstract:

Vector bundles isomorphic to their dual after tensoring with a line bundle are called essentially self-dual. Indecomposable essentially self-dual vector bundles support a line bundle-valued symmetric or skew-symmetric bilinear form. The computation of Witt and Grothendieck-Witt groups of line bundle-valued forms has only recently been completed for certain projective homogeneous varieties using derived category techniques. I'll review the history of this problem and discuss a new characteristic class in mod 4 etale cohomology for line bundle-valued symmetric forms.

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