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Friday, April 1, 2016

**Abstract:** Have you ever heated up a Sierpinski-Gasket-shaped pizza slice and wonder how long you have to wait for the heat to dissipate so you can enjoy your snack at the right temperature? In this talk we develop the necessary tools to answer this question by defining heat and wave equations in fractal sets. We start with an explicit approach to construct a suitable Laplace operator on the Sierpinski Gasket (SG) which will then be used to define second order differential equations with the SG as their spatial domain. Dirichlet (and/or Neumann) Spectral analysis for such an operator will be introduced if time permits.