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Heat content determines planar triangles

Reed Meyerson, University of Washington
Monday, May 22, 2017 - 4:30pm to 5:30pm
PDL C-401

By solving the heat equation with Dirichlet boundary conditions, we can assign a geometric invariant called the ‘heat content’ to every Riemannian manifold with boundary. We will restrict to the case where the manifolds are planar polygons and show that no two planar triangles have the same heat content.

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