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Hypercommutative operad as a homotopy quotient of BV

SPEAKER: Anton Khoroshkin

TITLE: Hypercommutative operad as a homotopy quotient of BV

ABSTRACT The purpose of the talk is to explain that formal Frobenius manifolds (also known under the name of hypercommutative algebras) are in one-to-one correspondence with BV-algebras where the action of BV-operator is trivialized. The equivalence of categories is explained on the level of operads where Frobenius manifolds are considered as algebras over the operad of compactified moduli space of curves of genus 0. Moreover, this identification provides an explanation of the nature of the Givental group action on Frobenius manifolds. This is joint work with N.Markarian, S.Shadrin.