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SUMMARY:The Penrose inequality in extrinsic geometry
DTSTART:20260306T141500
DTSTAMP:20260415T183550Z
UID:eb1e42528e8426f440153d78f7f8055f3746a61034bb6e2800ea0d0a
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr. Thomas Koerber (University of Vienna)\nAbstract: Complete 
 embedded minimal surface with integrable Gauss curvature such as the plane
  and the catenoid are fundamental objects in geometry. In this talk\, I wi
 ll show that the asymptotic slope of such a surface is bounded from below 
 in an optimal way by a systolic quantity called the neck-size. A consequen
 ce of this inequality is a new characterization of the catenoid purely in 
 terms of its extrinsic properties. This result confirms a conjecture of G.
  Huisken and can be viewed as an analog in extrinsic geometry of the Riema
 nnian Penrose inequality in mathematical relativity. The proof is based on
  an analysis of so-called minimal capillary surfaces\, which are compa
 ct minimal surfaces that intersect a given complete embedded minimal surfa
 ce with integrable Gauss curvature at a constant angle. This is joint work
  with M. Eichmair.
LOCATION:MA A1 12 https://plan.epfl.ch/?room==MA%20A1%2012
STATUS:CONFIRMED
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