UBC DG-MP-PDE Seminar: Ben Weinkove

• Date: 10/12/2021
• Time: 15:30
Lecturer(s):
Ben Weinkove, Northwestern University
Location:

Online

Topic:

The Insulated Conductivity Problem

Description:

Abstract: The insulated conductivity problem is a question about the strength of the electric field between two almost-touching insulators. Mathematically it is a question about harmonic functions which is extremely simple to state, yet the optimal bounds in higher dimensions are completely unknown. I will give some background on this problem, describe some known results, and then show how a maximum principle argument gives new bounds in dimensions 4 and higher.

Other Information:

Online via Zoom.
Contact spicard@math.ubc.ca for the Zoom link.