The Tbilisi Analysis & PDE Seminar (TAPDE), founded in November 2020, began as a bi-weekly online seminar series and
has hosted more than 70 distinguished scholars from around the world. Although the original plan to complement the
seminar with an annual in-person workshop was postponed due to COVID-19, we are pleased to announce the fourth
consecutive Tbilisi Analysis & PDE Workshop (TAPDE 2026), to be held in Tbilisi, Georgia, on August 26–29, 2026.
This year marks the 50th anniversary of the passing of Nikoloz Muskhelishvili (1891–1976),
one of the most prominent mathematicians and mechanicians of the twentieth century and a foundational
figure in Georgian mathematics. Muskhelishvili made fundamental contributions to complex analysis,
singular integral equations, and the mathematical theory of elasticity. His influential monographs—particularly
Singular Integral Equations and Some Basic Problems of the Mathematical Theory of Elasticity—became classics
and shaped modern approaches to boundary value problems and continuum mechanics. When the first Georgian
university was founded in Tbilisi in 1918, Muskhelishvili left Saint Petersburg—where he had received
his education and earned his scientific degrees—without hesitation and returned to his homeland.
There, he established the renowned Georgian school of Singular Integral and Differential Equations
and Continuum Mechanics. He was instrumental, together with Andrea Razmadze, Giorgi Nikoladze,
and Archil Kharadze, in the development of mathematical research and education and played a
central role in establishing a strong scientific tradition in Georgia.
In commemoration of his legacy, TAPDE 2026 will bring together leading researchers in analysis
and partial differential equations (PDEs), providing a forum for the exchange of ideas and recent advances in
the field. The scientific program will cover a broad range of topics, including real and complex analysis,
harmonic analysis, operator theory, integral equations, PDEs, mathematical physics, numerical analysis,
and related areas—many of them closely connected to Muskhelishvili’s work.
The workshop will feature plenary lectures by prominent experts, parallel sessions,
and opportunities for discussion and collaboration. Social activities, including a conference
dinner and excursion, will complement the academic program. The workshop will feature plenary
lectures by prominent experts, parallel sessions, and opportunities for discussion and collaboration.
Social activities, including a conference dinner and excursion, will complement the academic program.
Held in the historic and vibrant city of Tbilisi, TAPDE 2026 offers an inspiring setting with a rich cultural
heritage and a dynamic academic environment. We warmly invite researchers and graduate students to join us
for this international gathering and to celebrate the enduring impact of Nikoloz Muskhelishvili on modern
analysis and applied mathematics.
