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UID:20250818T060653EDT-3201BLerMn@132.216.98.100
DTSTAMP:20250818T100653Z
DESCRIPTION:Title: On Pleijel's nodal domain theorem\n\nAbstract:\n	A classi
 cal problem in spectral geometry is to study the number of nodal domains o
 f eigenfunctions of the Laplacian. Courant's nodal domain theorem tells us
  that the kth eigenfunction of the Dirichlet Laplacian has at most k nodal
  domains. Pleijel's nodal domain theorem is instead an asymptotic statemen
 t\, telling us that the ratio of the number of nodal domains to the index 
 of the eigenfunction has limsup bounded above by a fixed constant less tha
 n 1. In this talk\, we give a survey of recent extensions of and variation
 s on Pleijel's theorem. As an example\, we prove that Pleijel's nodal doma
 in theorem holds for the Robin Laplacian on any Lipschitz domain. This is 
 joint work with Katie Gittins (Durham)\, Asma Hassannezhad (Bristol)\, and
  Corentin Lena (Padova).\n\nJoin Zoom Meeting\n\nhttps://umontreal.zoom.us
 /j/89528730384?pwd=IF10Cg8C0YfogaBlL6F1NboPaQvAaV.1\n\nMeeting ID: 895 287
 3 0384\n\nPasscode: 077937\n
DTSTART:20241206T190000Z
DTEND:20241206T200000Z
SUMMARY:David Sher (DePaul University)
URL:/mathstat/channels/event/david-sher-depaul-univers
 ity-361741
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