Harmonic Analysis and Differential Equations Student Seminar: Sub-Riemannian limit of the differential form heat kernels of contact manifolds

Seminar | December 10 | 3:30 a.m.-5 p.m. | 740 Evans Hall

 Hadrian Quan, UIUC

 Department of Mathematics

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.