Heat content and geometric analysis by Professor Pat McDonald
This is a past event.
Tuesday, January 25 at 11:00am to 12:00pm
DM - Deuxieme Maison, 409A
11200 SW 8th ST 33199, Deuxieme Maison, Miami, Florida 33199
Please join us in welcoming Professor Pat McDonald from New College of Florida will visit our department on Tuesday, January 25.
Abstract: The heat content associated to a bounded domain in a Riemannian manifold is a function obtained by solving an initial value problem for the heat operator on the domain. Heat content gives rise to a collection of geometric invariants closely related to the Dirichlet spectrum. In this talk I will survey results that compare and contrast the role of heat content invariants to the role of spectral data in geometric analysis. In particular, I will discuss results involving planar polygons and provide explicit examples of where heat content invariants and Dirichlet spectrum behave similarly, and also where they behave differently.
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Meeting ID: 983 1584 6267