Analysis seminar
Monday 4 Dec, 2023, 1:30 pm - 2:30 pm
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Venue: Meeting ID: 835 4823 3902, Passcode: 585182
Join Zoom Meeting
https://us06web.zoom.us/j/83548233902?pwd=A9bwLvfOJtpO88Dmzk1di4YaUq37aZ.1
Host: Chandan Biswas
Speaker: Yves Colin de Verdière
Affiliation: Fourier Institute, CNRS, University of Grenoble I
Title: On the spectrum of the Poincaré operator in ellipsoids.
Abstract: The Poincaré equation describes the motion of an incompressible fluid in a domain submitted to a rotation. The associated wave operator is called the "Poincaré operator". If the domain is an ellipsoid, it was observed by several physicists that the spectrum is a pure point with polynomial eigenfields. I will give conceptual proof of this fact and an asymptotic result on the eigenvalues.