English
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Admissible normal functions and Hodge theory
Admissible normal functions and Hodge theory
Geometry of Spaces of Curves on Varieties II
Geometry of Spaces of Curves on Varieties
Moduli of varieties of general type, III
Moduli of varieties of general type, II
Moduli of varieties of general type, I
Derived categories, BGG correspondence, and the cohomology of projective varieties, III
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.
Derived categories, BGG correspondence, and the cohomology of projective varieties, II
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.
Derived categories, BGG correspondence, and the cohomology of projective varieties, I
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.
