|
Abstract:
I will describe a unifying framework for various geometric
duality transformations which is well adapted to studying the
commutative and non-commutative deformations of such
dualities. Special cases include the spectral cover construction for
schemes and stacks, filtered quadratic duality and various flavors of
the Fourier-Mukai transform. I will discuss extensions of these
dualities that incorporte sheaves on non-commutative spaces and stacks
and naturally appear in the deformation theory of moduli spaces of
sheaves and in homological mirror symmetry program.
|
