University of Connecticut

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PDE and Differential Geometry Seminar
Sub-Riemannian Limit of the Differential Form Heat Kernels of Contact Manifolds
Hadrian Quan (UIUC)

Monday, January 27, 2020
2:30pm – 3:30pm

Storrs Campus
MONT 214

In this talk I will discuss joint work with Pierre Albin in which we study the 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.

Contact:

zhongshan.an@uconn.edu

PDE and Differential Geometry Seminar (primary), UConn Master Calendar

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