# 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.

List of talks, 2007-08

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