"Discretization" of the algebra of differential forms and fiber Batalin-Vilkovisky integrals

GAP Seminar

Meeting Details

For more information about this meeting, contact Allyson Borger, Nigel Higson, Ping Xu, Mathieu Stiénon.

Speaker: Pavel Mnev, Notre Dame

Abstract: I will explain how, trying to formulate a discrete analog of the algebra of differential forms on an interval, one ends up with an A_\infty algebra on cell cochains of the interval, with multilinear operations expressed in terms of Bernoulli numbers. The construction extends to manifolds endowed with triangulations. I will explain how this algebraic structure on cell cochains (in fact, an interesting refinement of this structure) can be obtained from a stationary phase evaluation of a particular integral. The talk is based on the works arXiv:hep-th/0610326, arXiv:0809.1160; the topic was more recently revisited in arXiv:1701.05874 (a joint work with A.S. Cattaneo and N. Reshetikhin).

Room Reservation Information

Room Number: 106 McAllister

Date: 11/12/2019

Time: 2:30pm - 3:30pm