BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Optimization of Eigenvalues of GJMS Operators in a Conformal Class
  - Romain Petrides (Université Paris Cité)
DTSTART:20260324T153000Z
DTEND:20260324T163000Z
UID:TALK241135@talks.cam.ac.uk
DESCRIPTION:On a Riemannian manifold of dimension $n \\geq 3$\, for every 
 positive integer $s$\, there exists a conformal covariant differential ope
 rator of even order $2s \\leq n$\, whose leading term is the $s$-th power 
 of the Laplacian (the GJMS operator). For $k = 1$\, this is the famous con
 formal Laplacian that appears in the Yamabe problem. We consider the more 
 general problem of minimizing (resp. maximizing) the positive eigenvalues 
 (resp. negative eigenvalues) of these operators among all metrics with fix
 ed volume in a given conformal class\, in the case $2s < n$. In particular
 \, we calculate optimal bounds and provide examples where they are attaine
 d\, as well as others where they are not\, depending on the choice of the 
 manifold\, $s$\, and the index of the eigenvalue.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR