TAPDE-Workshop, 2023

ABOUT

The TAPDE 2023 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 2023 (TAPDE2023), which will take place in Tbilisi, the capital of Georgia.

Welcome to the TAPDE2023: 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).

TAPDE2023 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.

TAPDE2023 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, TAPDE2023 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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PLENARY SPEAKERS

Program & Book of Abstracts of the Workshop

IS: Invited Speaker, CT: Contributed Talk.

08:30–09:00	Registration of participants, Room 519
09:00–09:20	Opening ceremony, Room 519
Room 519	Plenary Session
Chairman	Roland Duduchava
09:20–10:10	IS	Pavel Exner Prague, Czechia	Curvature-Induced Bound States in Soft Quantum Waveguides
10:20–11:10	IS	Sergey E. Mikhailov London, United Kingdom	About Evolution Anisotropic Periodic Variable-Coeﬃcient Navier-Stokes Equations
11:20–11:50	Coﬀee break
Chairman	Oleksiy Karlovych
11:50–12:40	IS	Jani Virtanen Reading, United Kingdom Helsinki, Finland	Asymptotics of Block Toeplitz Determinants with Piecewise Continuous Functions
12:40–15:00	Lunch
Room 519	Semi-Plenary Session
Chairman	Sergey E. Mikhailov
15:00–15:50	IS	David Natroshvili Tbilisi, Georgia	An Alternative Potential Method for Mixed Boundary Value Problems
Room 710	Semi-Plenary Session
Chairman	Yuri Karlovich
15:00–15:50	IS	George Tephnadze Tbilisi, Georgia	Almost Everywhere Convergence of Partial Sums and Certain Summability Methods of Trigonometric and Vilenkin Systems
Room 519	Section of Diﬀerential Equations
Chairman	David Natroshvili
16:00–16:25	CT	George Chkadua Tbilisi, Georgia	Mathematical Problems of Dynamical Interaction of Fluids and Multiferroic Solids
16:30–16:55	CT	Otar Chkadua Tbilisi, Georgia	Solvability, Asymptotic Analysis and Regularity Results of Dynamical Interface Crack Type Transmission Problems of the Generalized Thermo-Electro-Magneto-Elasticity for Composed Structures
17:00–17:30	Coﬀee break
17:30–17:55	CT	Lasha Ephremidze Abu Dhabi, United Arab Emirates	On Spectral Factorization of Rational Matrix Functions
Room 710	Section of Analysis
Chairman	George Tephnadze
16:00–16:25	CT	Santeri Miihkinen Reading, United Kingdom	The Inﬁnite Hilbert Matrix on Spaces of Analytic Functions
16:30–16:55	CT	Gvantsa Shavardenidze Tbilisi, Georgia	On the Convergence of Cesàro Means of Negative Order of Vilenkin-Fourier Series
17:00–17:30	Coﬀee break
17:30–17:55	CT	Giorgi Tutberidze Tbilisi, Georgia	Properties of the Sequence of Linear Functionals on BV with Application
18:15	Wine Reception hosted by the President of the University of Georgia, Professor Giuli Alasania

09:00	Departure from the front door of the University of Georgia, Tbilisi
Conference Room	Plenary Session
Chairman	Pavel Exner
10:00–10:50	IS	Oleksiy Karlovych Caparica, Portugal	Discrete Riesz Transforms on Rearrangement Invariant Banach Sequence Spaces and Maximally Noncompact Operators
11:00–11:50	IS	Guillermo P. Curbera Sevilla, Spain	The Finite Hilbert Transform Acting on the Zygmund Space L logL
12:00–12:30	Coﬀee break
Chairman	Elijah Liﬂyand
12:30–13:20	IS	Diogo Oliveira e Silva Lisboa, Portugal	Sharp Restriction Theory: Highlights and Future Directions
13:30–15:00	Lunch
Conference Room	Plenary Session
Chairman	Guillermo P. Curbera
15:00–15:50	IS	Elijah Liﬂyand Ramat-Gan, Israel	L¹ Convergence of Fourier Transforms
Conference Room	Section of Diﬀerential Equations
Chairman	Eugene Shargorodsky
16:00–16:25	CT	Joachim Gwinner Neubiberg (Munich), Bavaria, Germany	On Frictional Unilateral Contact in Finite Strain Elasticity
16:30–16:55	CT	Yuri Karlovich Cuernavaca, México	Banach Algebras of Convolution Type Operators with P QC Data

17:00

Departure to Mtskheta or Tbilisi (optional)

19:00

Departure to Conference dinner at Restaurant Tsiskvili.

Transport will depart from Mtskheta and from Tbilisi (University of Georgia)

The conference dinner will be held at the restaurant “Tsiskvili”, located at 99 Beliashvili St., Tbilisi

(see Google Maps: https://goo.gl/maps/GSbnaLKAUDb34xTG9).

09:00–19:00

Excursion to Kakheti, Departure from the front door of the University of Georgia, Tbilisi

Room 519	Plenary Session
Chairman	Jani Virtanen
09:00–09:50	IS	Duván Cardona (Online) Ghent, Belgium	Regularity Properties of Fourier Integral Operators: Old and New
10:00–10:50	IS	Michael Ruzhansky (Online) Belgium & United Kingdom	Logarithmic Sobolev Inequalities
11:00–11:30	Coﬀee break
Chairman	Zurab Vashakidze
11:30–12:20	IS	Vladimir Rabinovich México City, México	Fredholm Properties of Interaction Problems Associated with n−dimensional Singular Dirac Operators
12:30–15:00	Lunch
Room 519	Semi-Plenary Session
Chairman	Vladimir Rabinovich
15:00–15:50	IS	Roland Duduchava Tbilisi, Georgia	Convolutions on Lie Groups, Generic Bessel Potential Spaces and Applications
Room 710	Semi-Plenary Session
Chairman	Diogo Oliveira e Silva
15:00–15:50	IS	Eugene Shargorodsky London, United Kingdom	Hörmander’s Theorem for Translation Invariant Operators on Banach Function Spaces
Room 519	Section of Diﬀerential Equations
Chairman	Joachim Gwinner
16:00–16:25	CT	Besiki Tabatadze Tbilisi, Georgia	Comparative Analysis of Approximate Solutions for a Numerical Solution of a Two-Dimensional Nonlinear Model
16:30–16:55	CT	Zurab Vashakidze Tbilisi, Georgia	On a Convergence of a Three-Layer Semi-Discrete Approach for Solving the Nonlinear Dynamic Kirchhoﬀ-Type String Equation with Time-Varying Coeﬃcients
17:00–17:30	Coﬀee break
17:30–17:55	CT	Hicham Arroussi Finland & United Kingdom	Toeplitz Operators on Large Fock Spaces
Room 710	Section of Analysis
Chairman	Santeri Miihkinen
16:00–16:25	CT	Davit Baramidze Georgia & Norway	Maximal Operators of Partial Sums of Walsh-Fourier Series in the Martingale Hardy Spaces
16:30–16:55	CT	Lasha Baramidze Tbilisi, Georgia	Summability of Tkebuchava’s Means of One and Two-Dimensional Trigonometric Fourier Series
17:00–17:30	Coﬀee break
17:30–17:55	CT	Nika Areshidze Tbilisi, Georgia	Approximation by Nörlund Means with Respect to Walsh System in Lebesgue Spaces
18:00–18:25	CT	Mark G. Lawrence Astana, Kazakhstan	Real Analytic Bergman Spaces
18:30	Closing ceremony, Room 519