Geometric Structures - Lev Buhovski - Dec. 15, 2020 - 4:00 pm (Rome Time)

[Miruna - Stefana Sorea]

Dear All,

this is to announce the next seminar from the series "Geometric
Structures".

Speaker: Lev Buhovski (Tel Aviv University) [1]

Title: Critical points of eigenfunctions

Time: December 15, 2020, 4:00 pm (Rome Time) 

Venue: from remote only, on zoom at this link 
https://sissa-it.zoom.us/j/85675591787?pwd=TUo2VXpmcEhOU1paRzBXUWp2MU1odz09
[2]
Passcode: geometry

Abstract: 

  On a closed Riemannian manifold, the Courant nodal domain theorem
gives an upper bound on the number of nodal domains of n-th
eigenfunction of the Laplacian. In contrast to that, there does not
exist such bound on the number of isolated critical points of an
eigenfunction. I will try to sketch a proof of the existence of a
Riemannian metric on the 2-dimensional torus, whose Laplacian has
infinitely many eigenfunctions, each of which has infinitely many
isolated critical points. Based on a joint work with A. Logunov and M.
Sodin.

More information can be found here:
https://sites.google.com/view/geometric-structures/ [3] 

Everyone is welcome! 

Miruna-Stefana Sorea 
-- 
_Miruna-Stefana Sorea_
_Postdoctoral Researcher_
_Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste,
Italy_
_HTTPS://SITES.GOOGLE.COM/VIEW/MIRUNASTEFANASOREA/_ 

Links:
------
[1] http://www.math.tau.ac.il/~levbuh/
[2]
https://sissa-it.zoom.us/j/85675591787?pwd=TUo2VXpmcEhOU1paRzBXUWp2MU1odz09
[3] https://sites.google.com/view/geometric-structures/