Sub-Riemannian limit of the differential form heat kernels of contact manifolds

The HADES seminar on Tuesday, December 10th will be given by Hadrian Quan in Evans 740 from 3:40 to 5 pm.

Speaker: Hadrian Quan, UIUC

Abstract: In this talk I will report on joint work with Pierre Albin in which we study heat kernel of the Hodge Laplacian on a contact manifold endowed with a family of Riemannian metrics that blow-up the directions transverse to the contact distribution. We apply this to analyze the behavior of global spectral invariants such as the eta-invariant and the determinant of the Laplacian. Time permitting, I will discuss connections with the Rumin complex, and the associated limit of Analytic Torsion.

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