Oliver Club

Xin ZhouUniversity of California, Santa Barbara
Minimal surfaces, Morse theory, and the multiplicity one conjecture

Thursday, November 21, 2019 - 4:00pm
Malott 532

Minimal surfaces are mathematical models for soap films and boundaries of black holes. They are natural critical points of the area functional. In the 1960s, Almgren initiated a program toward a Morse theory for the area functional to prove the existence of abundant minimal surfaces. This program was tremendously advanced by Pitts and Schoen-Simon in the 1980s, and by Marques-Neves and others in the past 10 years. In particular, a satisfying Morse theory has been established. I will survey this beautiful theory and present a proof to the long standing multiplicity one conjecture.

Refreshments will be served at 3:30 PM.