Zeit und Ort

Dienstag, 14.7.26, 16:15–17:45, Seminarraum 125

Zusammenfassung

A surface of least area that intersects a given support surface at a constant angle is called a minimal capillary surface. Minimal capillary surfaces arise naturally in the context of fluid dynamics as the idealized interface between two fluids in a container bounded by the support surface. In recent years, minimal capillary surfaces have been shown to capture aspects of the geometry of the support surface that appear to be beyond the reach of established tools in geometric analysis. In this talk, I will describe some of these developments, including my contributions in joint work with M. Eichmair such as the resolution of the Penrose inequality in extrinsic geometry conjectured by G. Huisken and the characterization of stable minimal capillary surfaces in the so-called tangential limit.