Title: Boundary Behavior of PMC Surfaces: The Concus-Finn Conjecture
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Abstract:  Capillary surfaces are interesting geometric objects which  turn out to be important in microgravity environments (e.g. in space)  and in tiny devices (e.g. electronic, "lab on a chip").  This talk  will focus on the mathematical theory of capillary surfaces in  vertical cylinders and sketch the 2010 proof of the 40 year old "Concus-Finn conjecture."  Related open questions will be mentioned.