When:
Monday, October 28, 2024
4:00 PM - 5:00 PM CT
Where: Lunt Hall, 107, 2033 Sheridan Road, Evanston, IL 60208 map it
Audience: Faculty/Staff - Student - Public - Post Docs/Docs - Graduate Students
Contact:
Jared Wunsch
(847) 491-5580
Group: Department of Mathematics: Analysis Seminar
Category: Lectures & Meetings
Title: Singular Abreu equations and twisted Harnack inequality
Abstract: In this talk, we will briefly explain how to use singular fourth-order Abreu equations (which arise in complex geometry) to approximate minimizers of several variational problems with a convexity constraint (which arise in economics, elasticity, and physics). Then we will talk about their solvability using a family of linearized Monge-Ampere equations with drifts. We will discuss a new tool that makes the analysis possible: a Harnack inequality for singular elliptic equations that satisfy certain twisted structures.