TAPDE-Workshop, 2024

ABOUT

The TAPDE 2024 Workshop

The Tbilisi Analysis & PDE Seminar (TAPDE) was founded in November 2020 as a bi-weekly series of online seminars, featuring presentations by over 40 distinguished scholars from several countries. The original plan to complement the online talks by an annual Workshop had to be put on hold due to COVID-19. We are delighted to be able to announce the launch of the Tbilisi Analysis & PDE Workshop 4 (TAPDE2024), which will take place in Tbilisi, the capital of Georgia.

Welcome to the TAPDE2024: We cordially invite you to join us for an international workshop, which will bring together leading researchers in the fields of analysis and partial differential equations (PDEs).

TAPDE2024. aims to provide an excellent opportunity for researchers from around the world to explore the latest developments in various areas of mathematics and its applications. The workshop will be held in the beautiful city of Tbilisi, Georgia, which has a rich cultural heritage and a thriving academic community.

The workshop will feature a broad range of topics, including real and complex analysis, harmonic analysis, operator theory, integral equations, PDEs, problems of mathematical physics, numerical analysis, and other related fields. We welcome submissions from researchers who are interested in presenting their latest research findings, sharing their expertise, and discussing new developments in their respective fields.

TAPDE2024 will offer a rich program of activities, including plenary lectures by leading experts in analysis and PDEs, parallel sessions, conference dinner, and an excursion. Sessions on one of the workshop days will take place in Hotel Sevsamora in Saguramo, a beautiful suburb of Tbilisi. Participants will have ample opportunities to network with colleagues from around the world, share their research ideas, and establish new collaborations.

The workshop will be held over several days in a convenient and picturesque location, with easy access to local restaurants, cultural attractions, and other amenities. We aim to provide a friendly and welcoming environment that encourages open communication and exchange of ideas among participants.

Whether you are an established researcher or a student just starting your career in mathematics, TAPDE2024 offers a unique opportunity to learn, share, and grow in a collaborative and supportiveenvironment. We look forward to welcoming you to our workshop and creating an experience that will inspire and empower you to pursue your passion for mathematics.

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08:30–09:00	Registration of Participants, Room 519
09:00–09:30	Opening Ceremony, Room 519
Room 519	Plenary Session
Chairman	Guillermo P. Curbera
09:30–10:20	IT	Alex Iosevich Rochester, New York, United States	Uncertainty Principles, Signal Recovery and Restriction Theory
10:30–11:20	IT	Elijah Liﬂyand Ramat-Gan, Israel	Variation Type Characterization of Product Hardy Spaces
11:30–12:00	Coﬀee Break
Room 222	Semi-Plenary Session
Chairman	Ilya M. Spitkovsky
12:00–12:50	IT	Gennady Mishuris Aberystwyth, Wales, United Kingdom	On Wiener-Hopf Factorization of Matrix Functions: ‘Regularised’ Vs. ‘Exact’ Factorization
Room 201	Semi-Plenary Session
Chairman	Michael Ruzhansky
12:00–12:50	IT	Giorgi Oniani Kutaisi, Georgia	Convergence and Divergence of Fourier Series in Systems of Characters for Compact Groups
13:00–14:30	Lunch Break
Online	Plenary Session
Chairman	Jean Lagacé
14:30–15:20	IT	Peter Kuchment College Station, Texas, United States	Nodal Count Mystery
Room 222	Section of Diﬀerential Equations and Applications
Chairman	Tengiz Buchukuri
15:30–15:55	CT	Ashot Gevorkyan Yerevan, Armenia	Three-Body Problem in Conformal-Euclidean Space: Hidden Symmetries and New Properties of a Low-Dimensional System
16:00–16:25	CT	Daniel Seibel Saarbrücken, Saarland, Germany	Analytical Integration in Integral Equation Methods
16:30–17:00	Coﬀee Break
17:00–17:25	CT	Zurab Vashakidze Tbilisi, Georgia	Numerical Treatment for the Nonlinear Dynamic String Equation of Kirchhoﬀ-Type with Time-Dependent Coeﬃcients
17:30–17:55	CT	Asselya Smadiyeva Almaty, Kazakhstan	Time-Fractional Diﬀusion Equation
Room 201	Section of Analysis and Applications
Chairman	Alex Iosevich
15:30–15:55	CT	George Tephnadze Tbilisi, Georgia	Approximation by Matrix Transform Means with Respect to the Vilenkin System in Lebesgue Spaces
16:00–16:25	CT	Alina Shalukhina Lisbon, Portugal	Self-Improving Property of the Hardy-Littlewood Maximal Operator Over Spaces of Homogeneous Type
16:30–17:00	Coﬀee Break
17:00–17:25	CT	Karina Navarro Gonzalez Yerevan, Armenia	Reproducing Kernel Hilbert Spaces and Covering Numbers on Compact Lie Groups
18:15	Welcome Reception – Inauguration of the Institute of Mathematics

08:00	Departure from the front door of the University of Georgia, Tbilisi
Conference Room	Plenary Session
Chairman	Roland Duduchava
09:00–09:50	IT	Michael Ruzhansky Ghent, Belgium	Pseudo-Diﬀerential Operators in Groups
10:00–10:50	IT	Marianna Chatzakou Ghent, Belgium	Functional Inequalities on Lie Groups
11:00–11:30	Coﬀee Break
Chairman	Oleksiy Karlovych
11:30–12:20	IT	Ilya M. Spitkovsky Abu Dhabi, United Arab Emirates	Fifty Years of Fun with Numerical Ranges
12:30–13:20	IT	Jani Virtanen Finland & United Kingdom	On the Asymptotics of Determinants for Structured Matrices
13:30–14:30	Lunch Break
Conference Room	Plenary Session
Chairman	Jani Virtanen
14:30–15:20	IT	Oleksiy Karlovych Lisbon, Portugal	A Necessary Condition for the Boundedness of the Maximal Operator on L^p(·) Over Reverse Doubling Spaces of Homogeneous Type
15:30–16:20	IT	Guillermo P. Curbera Seville, Andalucia, Spain	The Finite Hilbert Transform Taking Values in the Zygmund Space L_exp
16:30–19:00	Excursion to Mtskheta (Optional)
19:00	Conference Dinner at “Kartuli Sakhli”

The Tbilisi Analysis & PDE Workshop

August 28 - August 31, 2024

The University of Georgia, Tbilisi

ABOUT

PLENARY SPEAKERS

SEMI PLENARY SPEAKERS

Program & Book of Abstracts of the Workshop

The conference was financially supported by

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