Tbilisi Analysis & PDE Seminar
Tbilisi Analysis & PDE Seminar
Dear Colleagues! V. Kupradze 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 Tuesdays at 20:00 local time in Tbilisi (compare to your local time https://www.timeanddate.com/worldclock/georgia/tbilisi).
Seminar on March 4, 2025
Speaker: Dr. Andrey Shanin, Lomonosov Moscow State University, Russia; https://acoustics.phys.msu.ru/teachers/shanin_files/~shanin/index.html
The title of the lecture: „Asymptotic estimation of multidimensional Fourier integrals with singularities“
Abstract: A multidimensional Fourier integral is studied, whose transformant is an analytic function possibly having poles and branch sets. The frequency variables contain a large factor, and an asymptotic estimation with respect to this factor is built. An approach similar to the stationary phase method in the Poincare’s formulation is developed. Namely, an integration manifold, which is initially a real plane/volume, is deformed into the complex domain such that the integrand becomes exponentially small. Non-zero asymptotic terms are provided then by neighbourhoods of the special points where such a deformation is not possible. A classification of special points is given, and some typical integrals are computed for such points. The work is done in collaboration with Raphael Assier and Andrey Korolkov, University of Manchester, and Anton Laptev from Moscow State University.
The study was conducted by AS and AL under the state assignment of Lomonosov Moscow State University.
Download Poster: Link to Download
How to join: The seminar is organized on the Zoom Workplace. 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.
Organizers:
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
