Mirror Symmetry and Hodge Theory
Tony Pantev (University of Pennsylvania)
Tuesday October 26th, 2010 RLM 9.166
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Abstract:
- The Hodge theory arising in homological mirror symmetry. Pure nc Hodge structures and their Betti and de Rham aspects.
- Categorical nc geometry, variations of nc Hodge structures, nc Deligne cohomology, Griffiths groups, and normal functions.
- Examples from singularity theory, symplectic topology, and complex geometry. Fukaya and matrix factorization categories. Chern-Simons functionals.
- Motivic local systems and nc Hodge structures: the Fano case. Mirror maps for del Pezzo surfaces