Dg manifolds, formality theorem and Kontsevich--Shoikhet conjecture
GAP Seminar
Meeting Details
For more information about this meeting, contact Ping Xu, Nigel Higson, Mathieu Stiénon, Kendra Stauffer, Matthew Peddie.
Speaker: Mathieu Stienon, Penn State University
Abstract: Dg manifolds (or Q-manifolds) are a useful geometric notion which unifies many important structures such as curved Lininity algebras and derived intersections. The Todd class of dg manifolds extends both the classical Todd class of complex manifolds and the Duflo element of Lie theory. We establish a formality theorem for finite-dimensional smooth dg manifolds. As an application, we prove the Kontsevich--Shoikhet conjecture: a Kontsevich--Duflo type theorem holds for all finite-dimensional smooth dg manifolds. The talk is based on joint works with Hsuan-Yi Liao and Ping Xu
Room Reservation Information
Room Number: 106 McAllister
Date: 09/04/2018
Time: 2:30pm - 3:30pm