On eigenvalues and eigenfunctions of the clamped plate

Name: On eigenvalues and eigenfunctions of the clamped plate
Start: 2020-02-10T12:00:00-05:00
End: 2020-02-10T13:00:00-05:00
Location: CMSA, 20 Garden St, G10

CMSA EVENTS: CMSA MATHEMATICAL PHYSICS AND ALGEBRAIC GEOMETRY SEMINAR

When: February 10, 2020

12:00 pm - 1:00 pm

Where: CMSA, 20 Garden St, G10

Address: 20 Garden Street, Cambridge, MA 02138, United States

Speaker: Dan Mangoubi - Einstein Institute of Mathematics

A celebrated theorem of C.L. Siegel from 1929 shows that the multiplicity of eigenvalues for the Laplace eigenfunctions on the unit disk is at most two. We study the fourth order clamped plate problem, showing that the multiplicity of eigenvalues is uniformly bounded. Our method is based on new recursion formulas and Siegel–Shidlovskii theory. If time permits, we discuss possible applications also to nodal geometry. The talk is based on a joint work with Yuri Lvovsky.