A Heintze-Karcher inequality with free boundaries and applications to capillarity theory

Fri Mar 10, 2023 2:00 p.m.—3:00 p.m.
Exterior of Sheffield-Sterling-Strathcona Hall featuring a stone carving of Yale's coat of arms and motto

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Seminar: 
Geometric Analysis and Application

Event time: 
Friday, March 10, 2023 - 2:00pm

Location: 
LOM 215

Speaker: 
Daniel Weser

Speaker affiliation: 
University of Texas, Austin

Event description: 
In volume-constrained capillarity problems, minimizers may have free boundaries adhering to the container. Recent work in the study of capillarity problems has utilized stability theory for the volume-constrained isoperimetric problem to classify the shape of global minimizers and (in the case without free boundary) critical points. In this talk, I will discuss joint work with Matias Delgadino extending this program to classifying the shape of local minimizers in the presence of free boundaries.