Friday March 13th, 2026 11:00 AM
L4E48+ Zoom
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.