When:
Thursday, November 21, 2024
11:00 AM - 12:00 PM CT
Where: Lunt Hall, 101, 2033 Sheridan Road, Evanston, IL 60208 map it
Audience: Faculty/Staff - Student - Post Docs/Docs - Graduate Students
Contact:
Gabor Szekelyhidi
Group: Department of Mathematics: Informal Geometric Analysis Seminar
Category: Lectures & Meetings
Title: An estimate using auxiliary Monge-Ampère equation
Abstract: We will discuss the technique developed by Guo-Phong-Song-Sturm, using an auxiliary Monge-Ampère equation to establish L^\infty estimates of harmonic functions on compact Kähler manifolds, with very mild assumptions. The argument is interesting since it solves a problem in linear PDE using fully nonlinear PDE. If time permits, we may discuss some possible extensions.