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UID:20260601T131321EDT-6509vMCx47@132.216.98.100
DTSTAMP:20260601T171321Z
DESCRIPTION:Title: Lower bounds on the inner radius of nodal domains of Lap
 lace eigenfunctions\n\nAbstract: Consider nodal domains (connected compone
 nts of the set where a function is non-zero) of Laplace eigenfunctions on 
 a closed compact manifold. By Faber-Krahn's inequality\, a nodal domain ca
 nnot contain a ball of size C λ^{-1/2}. However\, it is harder to find low
 er bounds on the size of the biggest ball that can be contained inside a n
 odal domain.\n	In this talk\, I will discuss a recent result (with Dan Mang
 oubi) that shows that it is always possible to find a ball of size C λ^{-1
 /2} (log λ)^{-(d-2)/2}. The proof uses a mixture of old and new techniques
 \, some of which come from Brownion motion / heat kernel estimates\, while
  others come from recent advances on solutions to elliptic equations.\n\nW
 here: CRM\, Université de Montréal\, Pavillon André-Aisenstadt\, room 4186
  or\n\nJoin Zoom Meeting\n\nhttps://umontreal.zoom.us/j/89528730384?pwd=IF
 10Cg8C0YfogaBlL6F1NboPaQvAaV.1\n\nMeeting ID: 895 2873 0384\n\nPasscode: 0
 77937\n
DTSTART:20240920T140000Z
DTEND:20240920T150000Z
SUMMARY:Philippe Charron (Université de Genève)
URL:https://www.mcgill.ca/mathstat/channels/event/philippe-charron-universi
 te-de-geneve-359780
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