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SUMMARY:Jérôme Vétois (McGill)
DTSTART:20260116T160000Z
DTEND:20260116T171500Z
DTSTAMP:20260423T005823Z
UID:CIRGET/153
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/153/"
 >Nonexistence of extremals for the second conformal eigenvalue in low dime
 nsions</a>\nby Jérôme Vétois (McGill) as part of CRM - Séminaire du CI
 RGET / Géométrie et Topologie\n\nLecture held in PK-5115.\n\nAbstract\nI
 n this talk\, we will consider the second conformal eigenvalue on a closed
  Riemannian manifold of positive Yamabe type and dimension greater than or
  equal to 3. The second conformal eigenvalue is defined as the infimum of 
 the second eigenvalue of the conformal Laplacian in a conformal class of m
 etrics with renormalized volume. We will discuss a recent result showing t
 hat this infimum is not attained for metrics close to the round metric on 
 the sphere in dimensions 3 to 10\, which contrasts sharply with the situat
 ion in dimensions greater than or equal to 11\, where Ammann and Humbert o
 btained the existence of minimizers on any closed nonlocally conformally f
 lat manifold. This is a joint work with Bruno Premoselli (Université Libr
 e de Bruxelles).\n
LOCATION:https://researchseminars.org/talk/CIRGET/153/
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