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IUM10 conference: S.Barannikov

Serguei Barannikov

(ENS, Paris and CNRS)

Semi-infinite variations of Hodge structures and integrable hierarchies

Semi-infinite variations of Hodge structures arise naturally over parameter spaces of non-commutative objects like associative algebras or A-infinity deformations of algebraic manifolds. In this talk I'll discuss relations of semi-infinite variations of Hodge structures with integrable hierarchies of KdV type.