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Algebraic Geometry of Moduli Spaces (AGMS)
Date du début: 1 juil. 2010, Date de fin: 31 juil. 2011 PROJET  TERMINÉ 

"The proposal has two main parts. The first part is a research program that I will pursue concerning the algebraic geometry of moduli spaces of curves, maps, and sheaves. The central questions attacked concern cohomology, Virasoro constraints, and map/sheaf equivalences. The methods used are new localization/degeneration techniques related to the virtual classes of the corresponding moduli questions. The project, while in pure mathematics, is related also to topological string theory. The research program will be pursued with mathematicians in the geometry group at the Instituto Superior Tecnico in Lisbon and collaborators across Europe. The second part concerns activity at the Instituto Superior Tecnico in Lisbon. I will lecture on algebraic geometry related to modern moduli questions, organize graduate student workshops, and bring specialists from Europe and elsewhere to deliver short courses. The goal will be to train, transfer knowledge, and raise the profile of these subjects at IST."

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