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SUMMARY:Alina Stancu (Concordia University)
DTSTART:20200502T153000Z
DTEND:20200502T163000Z
DTSTAMP:20260423T052711Z
UID:OAGAS/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OAGAS/7/">On
  the fundamental gap and convex sets in hyperbolic space</a>\nby Alina Sta
 ncu (Concordia University) as part of Online asymptotic geometric analysis
  seminar\n\n\nAbstract\nThe lower bound on the fundamental gap of the Lapl
 acian on convex domains in R^n\, with Dirichlet boundary conditions\, has 
 a long history and has been finally settled a few years ago with parabolic
  methods by Andrews and Clutterbuck. More recently\, the same lower bound\
 , which depends on the diameter of the domain\, has been proved for convex
  sets on the standard sphere in several stages with several groups of auth
 ors\, 2016-2018. Over the past year\, together with collaborators\, we hav
 e found that the gap on the hyperbolic space behaves strikingly different 
 and we aim to explain it\, particularly for this audience\, as a differenc
 e in the nature of convex sets in H^n versus R^n or S^n.\n
LOCATION:https://researchseminars.org/talk/OAGAS/7/
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