Seminar by Anton M. Zeitlin (Columbia University)

Title: Homotopy Gerstenhaber algebra as a hidden structure within Einstein equations

2016.06.21 | Jane Jamshidi

Date Thu 30 Jun
Time 15:15 16:15
Location 1532-122 (Aud. G2)

Abstract

We obtain Einstein equations with matter fields as generalized Maurer-Cartan equations for L-infinity algebra, which is a subalgebra of G-infinity algebra. This G-infinity algebra arises as quasiclassical limit from homotopy Gerstenhaber algebra associated to a certain vertex algebra. Its chiral version turns out to be a natural object associated to the Courant algebroid, which generalizes L-infinity algebra considered by Roytenberg and Weinstein.

We obtain Einstein equations with matter fields as generalized Maurer-Cartan equations for L-infinity algebra, which is a subalgebra of G-infinity algebra.

 

This G-infinity algebra arises as quasiclassical limit from homotopy Gerstenhaber algebra associated to a certain vertex algebra.  Its chiral version turns out to be a natural object associated to the Courant algebroid, which generalizes L-infinity algebra considered by Roytenberg and Weinstein.

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