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SUMMARY:Iosif Polterovich (University of Montreal)
DTSTART:20230104T120000Z
DTEND:20230104T131000Z
DTSTAMP:20260423T022716Z
UID:GDS/74
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDS/74/">Pó
 lya's eigenvalue conjecture: some recent advances</a>\nby Iosif Polterovic
 h (University of Montreal) as part of Geometry and Dynamics seminar\n\n\nA
 bstract\nThe celebrated Pólya’s conjecture (1954) in spectral geometry 
 states that \nthe eigenvalue counting functions of the Dirichlet and Neuma
 nn Laplacian \non a bounded Euclidean domain can be estimated from above a
 nd below\, \nrespectively\, by the leading term of Weyl’s asymptotics. T
 he conjecture \nis known to be true for domains which tile the Euclidean s
 pace\, however \nit remains largely open in full generality. In the talk w
 e will explain \nthe motivation behind this conjecture and discuss some re
 cent advances\, \nnotably\, the proof of Pólya’s conjecture for the dis
 k. The talk is based \non a joint work with Nikolay Filonov\, Michael Levi
 tin and David Sher.\n
LOCATION:https://researchseminars.org/talk/GDS/74/
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