Laurent Saloff-Coste, Cornell University
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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