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International Conference "Analytic Theory of Differential and Difference Equations" Dedicated to the Memory of Andrey Bolibrukh
(January 28–February 3, 2021, online, Moscow)

International Conference "Analytic Theory of Differential and Difference Equations" Dedicated to the Memory of Andrey Bolibrukh

Analytic theory of differential equations is one of the classical fields of mathematics having a rich history. Many of its directions besides their intrinsic interest and importance are quite remarkable for a significant number of fruitful applications in modern mathematics and mathematical physics. One can mention inverse monodromy problems, Painlevé analysis, integrability problems, differential Galois theory, isomonodromic deformations, summability of formal series solutions, theory of normal forms of local objects and others. For the last two hundred years, many famous mathematicians contributed to the analytic theory of differential equations and the area continues to be popular subject for research. A number of major achievements in the field, the most known of which is a negative solution of the 21st Hilbert problem for Fuchsian linear differential systems, belongs to the untimely passed in 2003 Andrey Bolibrukh, a prominent mathematician and a wonderful person.

Our conference is dedicated to the memory of Andrey Bolibrukh and timed to the seventieth anniversary of his birth.

The main scope of the conference is a review of recent developments in the analytic theory of differential and difference equations.

Financial support. The conference is supported by the Simons Foundation and the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, Agreement no. 075-15-2019-1614).

Below one can find the list of speakers.

Speakers
Bibilo Yulia, University of Toronto, Mississauga, Canada
Dragović Vladimir, University of Texas at Dallas, USA
Guzzetti Davide, SISSA, Trieste, Italy
Khovanskii Askold, University of Toronto, Canada
Kossovskiy Ilya, Masaryk University, Brno, Czech Republic
Lastra Alberto, University of Alcalá, Spain
Loray Frank, Institut de Recherche Mathématique de Rennes, France
Mazzocco Marta, University of Birmingham, United Kingdom
Mironov Andrey, Sobolev Institute of Mathematics RAS, Novosibirsk, Russia
Mozo Jorge, University of Valladolid, Spain
Ohyama Yousuke, Tokushima University, Japan
Roubtsov Vladimir, Université d'Angers, France
Sabbah Claude, Ecole Polytechnique, Palaiseau, France
Sanz Javier, University of Valladolid, Spain
Shramchenko Vasilisa, Sherbrooke University, Canada
Stolovitch Laurent, Université de Nice Sophia Antipolis, France
Weil Jacques-Arthur, Université de Limoges, France
Zhang Changgui, Université Lille 1, France

E-mail:
Website: https://atdde2020.mi-ras.ru

Program

Abstracts

Organizers
Artamonov Dmitrii Vyacheslavovich
Glutsyuk Alexey Antonovich
Gontsov Renat Ravilevich
Goryuchkina Irina Vladimirovna
Klimenko Alexey Vladimirovich
Leksin Vladimir Pavlovich
Poberezhny Vladimir Andreevich
Sergeev Armen Glebovich
Vyugin Il'ya Vladimirovich

Institutions
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
National Research University Higher School of Economics, Moscow
Steklov International Mathematical Center


International Conference "Analytic Theory of Differential and Difference Equations" Dedicated to the Memory of Andrey Bolibrukh, online, Moscow, January 28–February 3, 2021

January 28, 2021 (Thu)
1. Opening
Dmitrii Treschev
January 28, 2021 17:00, online, Moscow
2. Projective structures and neighborhoods of rational curves
Frank Loray
January 28, 2021 17:10, online, Moscow
  
3. On solvability of linear differential equations by quadratures
Askold Khovanskii
January 28, 2021 18:30, online, Moscow
  
4. Darboux transformations for orthogonal differential systems and differential Galois theory
Jacques-Arthur Weil
January 28, 2021 20:00, online, Moscow
  

January 29, 2021 (Fri)
5. On commuting difference operators
Andrey Mironov
January 29, 2021 12:00, online, Moscow
  
6. $q$-Stokes phenomenon of basic hypergeometric equations and the Painlevé equations
Yousuke Ohyama
January 29, 2021 13:30, online, Moscow
  
7. Nilpotent singularities of foliations of generalized Poincaré–Dulac type
Jorge Mozo
January 29, 2021 17:00, online, Moscow
  
8. Real-analytic coordinates for smooth strictly pseudoconvex CR structures
Ilya Kossovskiy
January 29, 2021 18:00, online, Moscow
  
9. Geometry of hyperbolic Cauchy–Riemann singularities and KAM-like theory for holomorphic involutions
Laurent Stolovitch
January 29, 2021 19:30, online, Moscow
  

January 30, 2021 (Sat)
10. Working together with Andrey Bolibrukh
Armen Sergeev
January 30, 2021 17:00, online, Moscow
  
11. Memories of Andrey Bolibrukh’s time in Strasbourg
Claude Mitschi
January 30, 2021 17:00, online, Moscow
  
12. Few very personal memoirs about meetings with Andrei
Vladimir Roubtsov
January 30, 2021 17:00, online, Moscow
  
13. Andrey Bolibrukh: from a graduate student to academician
Yulij Ilyashenko
January 30, 2021 17:00, online, Moscow
  
14. Andrey Bolibrukh and the (Miwa) theta divisor
Claude Sabbah
January 30, 2021 18:30, online, Moscow
  

February 1, 2021 (Mon)
15. Quantum Painlevé monodromy manifolds and Sklyanin–Painlevé algebra, I
Marta Mazzocco
February 1, 2021 17:00, online, Moscow
  
16. Quantum Painlevé monodromy manifolds and Sklyanin–Painlevé algebra, II
Vladimir Roubtsov
February 1, 2021 18:30, online, Moscow
  
17. Application of Painlevé 3 equations to dynamical systems on 2-torus modeling Josephson junction
Yulia Bibilo
February 1, 2021 20:00, online, Moscow
  

February 2, 2021 (Tue)
18. Isomonodromic Laplace transform with coalescing eigenvalues and confluence of Fuchsian singularities
Davide Guzzetti
February 2, 2021 12:00, online, Moscow
  
19. Isomonodromic degenerations of irregular singularities
Claude Sabbah
February 2, 2021 13:30, online, Moscow
  
20. Algebro-geometric solutions to the $2\times2$ Schlesinger systems
Vasilisa Shramchenko
February 2, 2021 17:00, online, Moscow
  
21. Dynamics of extremal polynomials, isomonodromic and isoharmonic deformations
Vladimir Dragović
February 2, 2021 18:30, online, Moscow
  

February 3, 2021 (Wed)
22. On Gevrey asymptotics for linear singularly perturbed equations with linear fractional transforms
Alberto Lastra
February 3, 2021 17:00, online, Moscow
  
23. Right inverses for the asymptotic Borel map in ultraholomorphic classes on sectors
Javier Sanz
February 3, 2021 18:00, online, Moscow
  
24. On the vanishing of coefficients of the powers of a theta function
Changgui Zhang
February 3, 2021 19:00, online, Moscow
  
 
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