Variations of semi-infinite Hodge structures, quantum master equation on cyclic cochains, Feynman transforms and cohomological field theories

Speaker:

S. Barannikov

Affiliation:

Paris-VII

Date:

Tue, 19/09/2017 - 14:00 - 15:00

Location:

MPIM Lecture Hall [2]

Parent event:

Seminar on Algebra, Geometry and Physics [3]

The purpose of the talk is the description of the constructions of cohomology classes of the compactified moduli spaces of curves via summation over graphs, described earlier in the works of the speaker. One construction is related with solutions to the quantum master equation on cyclic cochains, and another is related with the variations of semi-infinite Hodge structures of Calabi-Yau type. The Feynman transforms control the properties of the constructed cohomology classes.