Representation Theory and Mathematical Physics Seminar: Field Equations, Homotopy Gerstenhaber Algebras and Courant Algebroids

Seminar | April 16 | 4-5 p.m. | 748 Evans Hall

 Anton Zeitlin, Louisiana State University

 Department of Mathematics

I will talk about the underlying homotopical structures within field equations, which emerge in string theory as conformal invariance conditions for sigma models. I will show how these, often hidden, structures emerge from the homotopy Gerstenhaber algebra associated to vertex and Courant algebroids, thus making all such equations the natural objects within vertex algebra theory.