Event

Talk
From the index theorem to the heat equation
Prof. Dr. Jean-Michel Bismut
4 Feb 2014, 17:00 – 18:00

In this talk, Prof. Bismut will review analytic aspects of index theory influenced by algebraic geometry, the local index theorem and Quillen’s superconnections playing a prominent role. The Gaussian aspect of index theory will be emphasized. The hypoelliptic deformations of Hodge theory will be briefly presented. While the heat equation has played a prominent role in standard index theory, methods of index theory applied to the heat equation lead naturally to the evaluation of orbital integrals via hypoelliptic deformations of the standard Laplacian.

http://www.math.u-psud.fr/~bismut/Web_page_of_Jean-Michel_Bismut/Contact_information.html