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 April 30, 2024

Speaker: Prof. Dr. Uwe Kähler, University of Aveiro; https://sweet.ua.pt/ukaehler/Webpage/Main.html

The title of the lecture: “Global pseudo-differential operator calculus over spin groups”

Abstract: In this talk, we present a construction of a global symbol calculus of pseudo-differential operators on spin groups in the sense of Ruzhansky-Turunen-Wirth, with special attention given to the case of Spin(4). Using representations of Spin(4) we construct a group Fourier transform and establish the calculus of left-invariant differential operators and of difference operators on the group Spin(4). Afterwards, we apply this calculus to give criteria for subellipticity and global hypoellipticity of pseudo-differential operators in terms of their matrix-valued full symbols. Several examples of first and second-order globally hypoelliptic differential operators are given, including somewhere the criteria of hypoellipticity will be reduced to the problem of approximation distance between irrational and rational numbers.

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