Announcements

MATHEMATICS SEMINAR by Eric Baer

Author: COLLEGE OF SCIENCES
Time: 14:30
Location: SCI 103

KOÇ UNIVERSITY MATHEMATICS SEMINAR
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Speaker          : Eric Baer, Carnegie Mellon University
Title                : Isoperimetric sets inside almost-convex cones

Date                : June 18, 2019, Tuesday
Time               : 14:30
Cookie&Tea  : SCI 103 14:5
Place               : SCI 103

Abstract         :  

We discuss a recent result showing that a characterization of isoperimetric sets (that is, sets minimizing a relative perimeter functional with respect to a fixed volume constraint) inside convex cones as sections of balls centered at the origin (originally due to P.L. Lions and F. Pacella) remains valid for a class of "almost-convex" cones. Key tools include compactness arguments and the use of classically known sharp characterizations of lower bounds for the first nonzero Neumann eigenvalue associated to (geodesically) convex domains in the hemisphere. The work we describe is joint with A. Figalli.