Jerusalem Mathematics Colloquium

Thursday, 21st February 2008, 4:00 pm
Mathematics Building, Lecture Hall 2

Oren Ben-Bassat
(Hebrew University)

"Derived categories in families"

Abstract: I will review the Fourier-Mukai transform and some applications. This an equivalence of derived categories of coherent sheaves on complex tori (or complex torus fibrations), analogous to the classical Fourier Transform. I will give two examples of how this equivalence persists in families. Such families include non-commutative deformations, gerbey deformations, and families of fibrations over the same base carrying gerbes. If time permits, I will explain how this could relate to a general statement of Polishchuk and Rothstein.

The results discussed are partially in collaboration with J. Block, and T. Pantev

Light refreshments will be served in the faculty lounge at 3:30.

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