TAPDE-Workshop, 2025

ABOUT

The TAPDE 2025 Workshop

The Tbilisi Analysis & PDE Seminar (TAPDE) was founded in November 2020 as a bi-weekly series of online seminars, featuring presentations by over 60 distinguished scholars from many 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 3-rd consecutive Tbilisi Analysis & PDE Workshop (TAPDE2025), which will take place in Tbilisi, the capital of Georgia.

Welcome to the TAPDE2025: 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).

TAPDE2025. 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.

TAPDE2025 will offer a rich program of activities, including plenary lectures by leading experts in analysis and PDEs, who delivered their presentation on the online seminars. Workshop will also offer parallel sessions, conference dinner, and an excursion. 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, TAPDE2025 offers a unique opportunity to learn, share, and grow in a collaborative and supportive environment. 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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09:00–09:30	Registration, Room 519
09:30–10:00	Opening, Room 519
Room 519	Plenary Session
Chairman	Eugene Shargorodsky
10:00–11:00	IT	Roland Duduchava Tbilisi, Georgia	Fractional Differential Equations on Lie Groups and Submonoids
11:00–11:30	Coffee Break
Room 1	Plenary Session
Chairman	Guillermo P. Curbera
11:30–12:30	IT	Michael Ruzhansky Ghent, Belgium	Fujita Exponent for Hörmander Vector Fields
12:30–13:30	IT	Lars-Erik Persson Narvik, Norway; and Uppsala, Sweden	Old and New on Hardy-Type Inequalities and Convexity
Room 2	Plenary Session
Chairman	Grigori Rozenblum
11:30–12:30	IT	Andrey V. Shanin Moscow, Russia	Multidimensional Complex Analysis for the Problems of Wave Radiation and Scattering
12:30–13:30	IT	Valery P. Smyshlyaev London, United Kingdom	Multiscale Approximations for Asymptotically Degenerating Operators and Their Spectra
13:30–14:30	Lunch Break
Room 1	Session: Differential Equations and Applications
Chairman	David Natroshvili
14:30–15:00	CT	Otar Chkadua Tbilisi, Georgia	Dynamic Nonclassical Transmission Problems of Generalized Thermo-Electro-Magneto-Elasticity
15:00–15:30	CT	Tengiz Buchukuri Tbilisi, Georgia	Pseudo-Oscillation Equation of Heat Transfer in Thin Plates
15:30–16:00	CT	Tatiana Kuzmina Tbilisi, Georgia	Equation of State for a Composite at Crack Tip and Displacement Discontinuity Intensity Factor
16:00–16:30	Coffee Break
Chairman	Duván Cardona
16:30–17:00	CT	Daulet Nurakhmetov Almaty and Astana, Kazakhstan	On the Behavior of Vibrations of Non-Uniform Beams
17:00–17:30	CT	Zahra Keyshams Yerevan, Armenia	Very Weak Solutions of the Heat Equation with Anisotropically Singular Time-Dependent Diffusivity
17:30–18:00	CT	Madi Yergaliyev Almaty, Kazakhstan	On Solvability of Strongly Degenerate Hyperbolic Equations
Room 2	Session: Algebra, Topology, and Applications
Chairman	Teimuraz Pirashvili
14:30–15:00	CT	Bachuki Mesablishvili Tbilisi, Georgia	On Factorization of Groups, Monoids and Skew Braces
15:00–15:30	CT	Dali Zangurashvili Tbilisi, Georgia	Another Characterization of Left Hereditary Left Perfect Right Coherent Rings
15:30–16:00	CT	Ilia Pirashvili Loerrach, Germany	Homotopy in the Geometry of Monoids
16:00–16:30	Coffee Break
16:30–17:00	CT	Anzor Beridze Batumi and Kutaisi, Georgia	The Braid Group, Garside Structure and Burau Representation
17:00–17:30	CT	Malkhaz Bakuradze Tbilisi, Georgia	Equivariant Embeddings of Trivial G-Bundles Into Complex G-Bundles Over Finite G-CW Complexes
18:00	Welcome Party - Room 222

09:30–10:00	Registration, Room 222
Room 1	Plenary Session
Chairman	Jani Virtanen
10:00–11:00	IT	Alexander Meskhi Tbilisi and Kutaisi, Georgia	Trace Inequality for Fractional Integrals, and Related Topics
11:00–11:30	Coffee Break
11:30–12:30	IT	Leonid Parnovski London, United Kingdom	Classical Spectral Asymptotics with a Modern Twist
12:30–13:30	IT	Clifford Gilmore Clermont-Ferrand, France	Universality of Composition Operators and Applications to Complex Dynamics
Room 2	Plenary Session
Chairman	Malte Braack
10:00–11:00	IT	Grigori Rozenblum Gothenburg, Sweden	Eigenvalues Properties of the Neumann-Poincaré Operator in 3D Elasticity
11:00–11:30	Coffee Break
11:30–12:30	IT	David Natroshvili Tbilisi, Georgia	Application of the Potential Method to Mixed Boundary Value Problems for Viscoelastic Solids with Voids
12:30–13:30	IT	Berikbol T. Torebek Almaty, Kazakhstan	Fujita-Type Critical Exponents for the Semilinear Parabolic Problems
13:30–14:30	Lunch Break
Room 1	Session: Real and Complex Analysis
Chairman	Lasha Ephremidze
14:30–15:00	CT	Alina Shalukhina Caparica, Portugal	Interpolation of Variable Lebesgue Spaces Over Spaces of Homogeneous Type
15:00–15:30	CT	Giorgi Tutberidze Tbilisi, Georgia	Generalized Fourier-Cesàro Sums for Functions of Bounded Variation
15:30–16:00	CT	Haakan Hedenmalm St. Petersburg, Russia	Bombieri-Type Inequalities and Equidistribution of Points
16:00–16:30	Coffee Break
Chairman	Sergey Tikhonov
16:30–17:00	CT	Lasha Ephremidze Tbilisi and Kutaisi, Georgia	Matrix Spectral Factorization Algorithm with Non-Commutative Coefficients
Room 2	Session: Algebra, Topology, and Applications
Chairman	Bachuki Mesablishvili
14:30–15:00	CT	Teimuraz Pirashvili Tbilisi, Georgia	On k-Invariants of Crossed Modules Related to Dihedral Groups
15:00–15:30	CT	Emzar Khmaladze Tbilisi, Georgia	Relations Between Categories of Crossed Modules of Various Algebras
15:30–16:00	CT	Mariam Pirashvili Plymouth, United Kingdom	An Isometry Theorem for Persistent Homology of Circle-Valued Functions
16:00–16:30	Coffee Break
16:30–17:00	CT	Giorgi Rakviashvili Tbilisi, Georgia	On Projective Class Groups of Crossed Group Rings
17:00–17:30	CT	Tsotne Pavliashvili Tbilisi, Georgia	Extremal Problems on Four Concentric Circles
19:00	Conference Dinner at the Restaurant “Ethnographer”

The Tbilisi Analysis & PDE Workshop:

Dedicated to the 80th Anniversary of Professor Roland Duduchava

The University of Georgia, Tbilisi

ABOUT

INVITED SPEAKERS

Program & Book of Abstracts of the Workshop

The conference was financially supported by

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