Spectral theory, nonlinear problems, and applications

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Spectral theory, nonlinear problems, and applications
(December 8–11, 2023, Hotel-park "Repino", Primorskoye sh., 394, lit. B, 197738, St. Petersburg)

The conference aims to gather experts in nonlinear integrable systems, spectral theory, and scattering theory. Main focus is the interplay between recent theoretical results in these areas and some applied problems such as efficient numerical solution of nonlinear integrable equations.

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Abstracts

Organizing Committee
Bessonov Roman Viktorovich
Romanov Roman Vladimirovich
Timofeeva Polina Viktorovna

Participants
Aptekarev Alexander Ivanovich
Bessonov Roman Viktorovich
Bogatyrev Andrei Borisovich
Bufetov Alexander Igorevich
Delitsyn Andrey Leonidovich
Domrin Andrei Victorovich
Frumin L L
Gubkin Pavel Vasil'evich
Karol' Andrey Igorevich
Kucherenko Oleg Vladimirovich
Matveenko Sergei Georgievich
Mednykh Alexander Dmitrievich
Nazarov Alexander Il'ich
Novokshenov Victor Yur'evich
Plotnikov Pavel Vladimirovich
Rastegaev Nikita Vladimirovich
Romanov Roman Vladimirovich
Smirnov Aleksandr Olegovich
Titarenko Sergey Alexeyevich

Institutions
Saint Petersburg State University


*Spectral theory, nonlinear problems, and applications, St. Petersburg, December 8–11, 2023*

	*December 9, 2023 (Sat)*

1.	Opening December 9, 2023 09:45–09:50, St. Petersburg, Hotel-park "Repino", Primorskoye sh., 394, lit. B, 197738


2.	Spectral problem of Poincaré and Steklov A. B. Bogatyrev December 9, 2023 09:50–10:30, St. Petersburg, Hotel-park "Repino", Primorskoye sh., 394, lit. B, 197738


3.	Discrete Riemann-Hilbert problem and interpolation of entire functions V. Yu. Novokshenov December 9, 2023 10:55–11:35, St. Petersburg, Hotel-park "Repino", Primorskoye sh., 394, lit. B, 197738


4.	Fast algorithms for solving the non-linear Schrödinger equation for digital compensation of signal distortions in fiber-optic communication lines A. L. Delitsyn December 9, 2023 11:45–12:25, St. Petersburg, Hotel-park "Repino", Primorskoye sh., 394, lit. B, 197738


5.	Szegő asymptotics for multiple orthogonal polynomials with respect to Angelesco weights A. I. Aptekarev December 9, 2023 12:50–13:30, St. Petersburg, Hotel-park "Repino", Primorskoye sh., 394, lit. B, 197738


6.	Discrete analytic functions and Taylor series A. D. Mednykh, O. A. Danilov December 9, 2023 13:40–14:20, St. Petersburg, Hotel-park "Repino", Primorskoye sh., 394, lit. B, 197738


7.	Formulation of mathematical problems in fiber optical telecommunications P. V. Plotnikov December 9, 2023 18:40–19:10, St. Petersburg, Hotel-park "Repino", Primorskoye sh., 394, lit. B, 197738


	*December 10, 2023 (Sun)*

8.	Large time behavior of lossy systems governed by Dirac and Schrödinger operators. R. V. Romanov December 10, 2023 09:50–10:30, St. Petersburg, Hotel-park "Repino", Primorskoye sh., 394, lit. B, 197738


9.	Properties of real-analytic solutions of the nonlinear Schrödinger equation and related equations A. V. Domrin December 10, 2023 10:55–11:35, St. Petersburg, Hotel-park "Repino", Primorskoye sh., 394, lit. B, 197738


10.	Spectral curves and vector integrable nonlinear equations A. O. Smirnov December 10, 2023 11:45–12:25, St. Petersburg, Hotel-park "Repino", Primorskoye sh., 394, lit. B, 197738


11.	Inverse spectral scattering transform algorithm for the Manakov system L. L. Frumin December 10, 2023 12:50–13:35, St. Petersburg, Hotel-park "Repino", Primorskoye sh., 394, lit. B, 197738


12.	Solving discrete nonlinear Shrödinger equation on $\mathbb Z$ using Schur's algorithm for analytic functions R. V. Bessonov, P. V. Gubkin December 10, 2023 13:40–14:20, St. Petersburg, Hotel-park "Repino", Primorskoye sh., 394, lit. B, 197738

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