MS Seminar (Mathematics - String Theory)

Speaker: Anton Khoroshkin (Higher School of Economics, Moscow)
Title: Hypercommutative operad as a homotopy quotient of BV
Date: Wed, Aug 13, 2014, 13:15 - 14:45
Place: Seminar Room B
Abstract: The purpose of the talk is to explain that formal Frobenius manifolds without pairing (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 and trivialization of a BV-operator means the particular homotopy with the trivial operator. In addition, this equivalence provides an explanation of the nature of the Loop group action on Frobenius manifolds. based on joint work with N.Markarian, S.Shadrin http://arxiv.org/abs/1206.3749