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Geometry and Topology Seminar: Daniel Weser, UNC, A Heintze-Karcher inequality with free boundaries and applications to capillarity theory
October 6, 2023 | 12:50 pm - 1:50 pm EDT
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.