Dg manifolds, formality theorem and Kontsevich--Shoikhet conjecture

Meeting Details

For more information about this meeting, contact Ping Xu, Nigel Higson, Mathieu Stienon, 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

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Room Reservation Information

Room Number: 106 McAllister

Date: 09/04/2018

Time: 2:30pm - 3:30pm