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The heat kernel on complete manifolds with finitely many nice ends

Laurent Saloff-Coste, Cornell University
Monday, February 22, 2021 - 2:30pm to 3:30pm
Online via Zoom. Contact Zhen-Qing Chen for details.

I will review earlier results and discuss recent advances concerning the case when the manifold is parabolic (i.e., the recurrent case). The goal is to obtain sharp two-sided estimates of the heat kernel associated with the Laplace-Beltrami operator on certain complete non-compact Riemannian manifolds.

Joint work with A. Grigor'yan and S. Ishiwata

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