Events for 12/02/2021 from all calendars

Several Complex Variables Seminar

Time: 2:00PM - 3:00PM

Location: Zoom

Speaker: Anne-Katrin Gallagher, Gallagher Tool and Instrument

Title: On the dimension of bundle-valued Bergman spaces on P^1

Abstract: We give potential-theoretic characterizations of the dimension of any line-bundle-valued Bergman space on an open subset in $\mathbb{P}^1$. This is joint work with Purvi Gupta and Liz Vivas.

Colloquium - Jonathan Zhu

Time: 4:00PM - 5:00PM

Location: BLOC 117

Speaker: Jonathan Zhu, Princeton University

Description:
Title: Min-max theory for capillary surfaces
Abstract: Capillary surfaces model interfaces between incompressible immiscible fluids. The Euler-Lagrange equations for the capillary energy functional reveals that such surfaces are solutions of the prescribed mean curvature equation, with prescribed contact angle where the interface meets the container of the fluids. Min-max methods have been used with great success to construct unstable critical points of various energy functionals, particularly for the special case of closed minimal surfaces. We will discuss the development of min-max methods to construct general capillary surfaces.