BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Two disks maximize the third Robin eigenvalue: positive parameters
  - Hanna Kim (UNC Chapel Hill and RIMS)
DTSTART:20260202T114500Z
DTEND:20260202T121500Z
UID:TALK239575@talks.cam.ac.uk
DESCRIPTION:In this talk\, I will discuss the maximization of third Robin 
 eigenvalue for negative parameters. The third eigenvalue of the Robin Lapl
 acian on a simply-connected planar domain of given area is bounded above b
 y the corresponding eigenvalue of a disjoint union of two equal disks\, fo
 r Robin parameters in [-4\\pi\,4\\pi]. This sharp inequality was known pre
 viously only for non-positive parameters by Girouard and Laugesen. This di
 fficulty is overcome by means of a degree-theoretic approach. This talk is
  based on a joint work with R. Laugesen
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR