Discrete approximations of metric measure spaces and nonlocal energies

Nageswari Shanmugalingam (U of Cincinnati)

May 21. 2024, 10:50 — 11:35

We will discuss a technique called hyperbolic filling that gives us a way to approximate a compact doubling metric measure space by discrete sets; we will then describe a way of linking certain nonlocal energies on the compact space to local energies on hyperbolic fillings, and (time permitting) use these discrete approximations to discuss Ahlfors regular quasisymmetric structures.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Synthetic Curvature Bounds for Non-Smooth Spaces: Beyond Finite Dimension (Workshop)
Lorenzo Dello Schiavo (ISTA, Klosterneuburg)
Christian Ketterer (ALU Freiburg)
Chiara Rigoni (U of Vienna)