Tbilisi Analysis & PDE Seminar

Tbilisi Analysis & PDE Seminar

Dear Colleagues! Institute of Mathematics of the University of Georgia is pleased to invite you to the Online Tbilisi Analysis & PDE Seminar. The seminar is held bi-weekly on Mondays at 20:00 local time in Tbilisi (compare to your local time https://www.timeanddate.com/worldclock/georgia/tbilisi).

Seminar on February 21, 2023

Speaker: Jean Lagacé, King’s College London, UK; https://lagacejean.github.io/

The title of the lecture: “Spectral Geometry on rough spaces”

Abstract: Spectral geometry is concerned with studying the spectrum (the eigenvalues) of differential operators (like the Laplacian) on surfaces and manifolds, and relating that spectrum with the geometry of the underlying space. Many tools, for instance, pseudo-differential calculus and microlocal analysis, have been developed over the years to study the spectrum when everything is smooth. In this talk, I will focus on the asymptotic distribution of eigenvalues (Weyl’s Law), and explain what we can keep when we do not assume the smoothness of the underlying space. Special attention will be given to the Steklov problem.

This is joint work with Mikhail Karpukhin (University College London) and Iosif Polterovich (Université de Montréal).

Download poster: Link to Download

How to join: The seminar is organized on the Cisco Webex Meetings. If you are already registered, you don't need to register again. Otherwise, to join the seminar please send an e-mail to seminarim@ug.edu.ge or register here:

https://forms.gle/xfQJ9fg1uqe7CrZw6

You will then receive further information.

You can also join an online seminar without installing Webex, by just clicking on the meeting link of the seminar. You will be connected via browser e.g. Firefox, Google Chrome, Microsoft Edge or whatever.

Past Seminars here

Organizers:

1. R. Duduchava, Institute of Mathematics, University of Georgia, Tbilisi
2. E. Shargorodsky, Department of Mathematics, King’s College London
3. G. Tephnadze, Institute of Mathematics, University of Georgia, Tbilisi

Secretary:

M. Tsaava, Institute of Mathematics, University of Georgia, Tbilisi
Technical support:

G. Tutberidze, Institute of Mathematics, University of Georgia, Tbilisi

Z. Vashakidze, Institute of Mathematics, University of Georgia, Tbilisi

Seminar of our partners:

Seminar on Analysis, Differential Equations and Mathematical Physics