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SUMMARY:Emmett Wyman (Binghamton University)
DTSTART:20251015T160000Z
DTEND:20251015T170000Z
DTSTAMP:20260423T021402Z
UID:VSGS/116
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/116/">S
 pectral geometry and symmetries</a>\nby Emmett Wyman (Binghamton Universit
 y) as part of Virtual seminar on geometry with symmetries\n\n\nAbstract\nW
 e will present two short results linking the spectrum of the Laplace-Beltr
 ami operator on a compact Riemannian manifold to its Lie group of isometri
 es:\n\n(1) Each manifold with a simple Laplace-Beltrami spectrum has a fin
 ite isometry group. (https://arxiv.org/abs/2407.18797)\n\n(2) If a two-dim
 ensional drumhead "sounds the same" when struck at any two points\, the ac
 tion of the isometry group on the surface is transitive. (https://arxiv.or
 g/abs/2307.06224)\n\nWe will discuss some background on Laplace-Beltrami e
 igenfunctions\, give short proofs of the results\, and discuss some furthe
 r questions if time permits. This is joint work with Xing Wang\, Feng Wang
 \, and Yakun Xi.\n
LOCATION:https://researchseminars.org/talk/VSGS/116/
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