COURSE DESCRIPTION: The lectures will focus on the behavior of numerical invariants of smooth projective varieties under derived equivalences, and on the structure of the total cohomology of bundles of holomorphic forms as modules over the exterior algebra via the BGG correspondence. I will explain recent results with Ch. Schnell on the behavior of the Picard variety under derived equivalence, in particular showing the invariance of Hodge numbers for derived equivalent threefolds. I will also describe work with R.
COURSE DESCRIPTION: The lectures will focus on the behavior of numerical invariants of smooth projective varieties under derived equivalences, and on the structure of the total cohomology of bundles of holomorphic forms as modules over the exterior algebra via the BGG correspondence. I will explain recent results with Ch. Schnell on the behavior of the Picard variety under derived equivalence, in particular showing the invariance of Hodge numbers for derived equivalent threefolds. I will also describe work with R.
COURSE DESCRIPTION: The lectures will focus on the behavior of numerical invariants of smooth projective varieties under derived equivalences, and on the structure of the total cohomology of bundles of holomorphic forms as modules over the exterior algebra via the BGG correspondence. I will explain recent results with Ch. Schnell on the behavior of the Picard variety under derived equivalence, in particular showing the invariance of Hodge numbers for derived equivalent threefolds. I will also describe work with R.