Speaker: Professor Pietro Poggi-Corradini, Kansas State University

Title: Discrete p-Modulus and Orthodiagonal Maps

Abstract:

This project is joint work with Nathan Albin, Joan Lind and Pekka Pankka. Our goal is to approximate planar p-capacity (or continuous p-modulus) in topological rectangles using discrete p-modulus defined on an approximating orthodiagonal map. To that end, I will first introduce the planar p-capacity problem we are interested in and then I will give an overview of the theory of p-modulus on finite graphs, describing various notions of duality, and establishing its relation to the discrete p-Laplacian and to non-linear flows.

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