Московский Центр фундаментальной и прикладной математики

Конференция «Комплексные аппроксимации, ортогональные многочлены и приложения».

06 июня 2021
—
12 июня 2021
09:00

Отель Omega Sirius ^{⭐️⭐️⭐️} (Олимпийский просп., 3, Сочи, Краснодарский край, 354340)

background photo by Arne Müseler

Конференция

«Комплексные аппроксимации, ортогональные многочлены и приложения»

Основное направление мероприятия — сообщение последних результатов в теории рационального приближения аналитических функций. Важными инструментами рациональной аппроксимации являются проблемы Римана-Гильберта, теория ортогональных многочленов, теория логарифмического потенциала и теория операторов для разностных операторов.

Организаторы:

Цели

Обсудить применение комплексных приближений и ортогональных многочленов в спектральной теории разностных операторов, моделях случайных матриц и специальных функций, которые играют важную роль в прикладной и вычислительной математике.

Собрать вместе ведущих специалистов для обсуждения последних достижений в области комплексных приближений и ортогональных многочленов.

Расписание

Mon 7 June

Chairman: Vladimir Lysov

MSK 09:00 – 9:30

Torino auditorium

📋 Registration

MSK 09:30 – 10:10

Roman Bessonov

An almost periodic model for general reflectionless spectral data

MSK 10:15 – 10:40

Sergei Kalmykov

On the uniform convergence of Green's functions

MSK 10:45 – 11:00

☕ Break

Chairman: Alexander Aptekarev

MSK 11:00 – 11:15

🎉 Opening Ceremony

MSK 11:15 – 11:40

Vilmos Totik

Multiplicity of zeros of polynomials

MSK 11:45 – 12:25

Peter Yuditskii

Pointwise Remez inequality

MSK 12:30 – 12:55

Anna Kononova

Convergence rate for weighted polynomial approximation on the real line

MSK 13:00 – 14:30

🍽️ Lunch

Chairman: Armen Sergeev

MSK 14:30 – 14:55

Bernhard Beckermann and Ana Matos

Solving the signed equilibrium problem on several real intervals

MSK 15:00 – 15:25

Eugene Tyrtyshnikov

Tensors, polynomials and rank increment conjecture

MSK 15:30 – 15:55

Andrei Bogatyrev

Stability polynomials for explicit Runge–Kutta methods: optimal and damped

MSK 16:00 – 16:30

🥪 Break

Chairman: Peter Dragnev

MSK 16:30 – 16:55

Maxim Yattselev

On L_R^2-best rational approximants to Markov functions on several intervals

MSK 17:00 – 17:25

Sergey Denisov

Subharmonic functions in spectral theory and multidimensional scattering

MSK 17:30 – 17:55

Galina Filipuk

Aspects of nonlinear differential equations

Tue 8 June

Chairman: Andrei Afendikov

MSK 09:30 – 10:10

Sergei Bezrodnykh

Analytic continuation of the multiple hypergeometric functions

MSK 10:15 – 10:40

Semen Nasyrov

Properties of level curves of a function generated by an Abel integral on three-sheeted torus

MSK 10:45 – 11:00

☕ Break

Chairman: Alexander Aptekarev

MSK 11:00 – 11:40

Arno Kuijlaars

Matrix-valued orthogonal polynomials related to hexagon tilings

MSK 11:45 – 12:25

Alfredo Deaño

Global phase portrait and large degree asymptotics for the kissing polynomials

MSK 12:30 – 12:55

Vladimir Sorokin

Recurrence Legendre polynomials

MSK 13:00 – 14:30

🍽️ Lunch

Chairman: Walter Van Assche

MSK 14:30 – 14:55

Francisco Marcellan

From OPRL to OPUC. A matrix approach beyond the Szegő transformations

MSK 15:00 – 15:25

Mikhail Tyaglov

Polynomial solutions of linear differential operators and Bochner's theorem

MSK 15:30 – 15:55

Franck Wielonsky

Riesz energy problems in unbounded sets of R^d

MSK 16:00 – 16:30

🥪 Break

Chairman: Sergei Khrushchev

MSK 16:30 – 16:55

Miguel Piñar

Jackson-type estimates on the weighted unit ball

MSK 17:00 – 17:25

Jacob Christiansen

Chebyshev polynomials in the complex plane

MSK 17:30 – 17:55

Peter Dragnev

On the best uniform polynomial approximation to the checkmark function

Wed 9 June

Chairman: Alexander Aptekarev

MSK 09:30 – 10:10

Anna Tsvetkova

Real-valued semiclassical approximation for the asymptotics with complex-valued phases and its application to multiple orthogonal Hermite polynomials

MSK 10:15 – 10:40

Rostyslav Kozhan

Differential equation for the limit of the nearest neighbour recursion coefficients for MORPL

MSK 10:45 – 11:00

☕ Break

Chairman: Guillermo Lopez Lagomasino

MSK 11:00 – 11:40

Walter Van Assche

Hermite–Padé approximation and the number pi

MSK 11:45 – 12:10

Valery Kalyagin

On some results in multiple orthogonal polynomials and its applications

MSK 12:15 – 13:15

🍽️ Lunch

MSK 13:15

🚌 Trip to Krasnaya Polyana

Thu 10 June

Chairman: August Tsikh

MSK 09:30 – 10:10

Armen Sergeev

From Ginzburg–Landau vortices to Seiberg–Witten equations

MSK 10:15 – 10:40

Teresa Pérez

Multivariate mixed orthogonal functions satisfying three term relations

MSK 10:45 – 11:00

☕ Break

Chairman: Andrei Martinez-Finkelshtein

MSK 11:00 – 11:25

Guillermo Lopez Lagomasino

Matrix-valued orthogonal polynomials related to hexagon tilings

MSK 11:30 – 11:55

Luis González Ricardo

Ratio asymptotic of generalized multi-level Hermite–Padé polynomials

MSK 12:00 – 12:25

Vladimir Lysov

On algebraic properties of the mixed type approximants

MSK 12:30 – 12:55

Elijah Lopatin

On the generalisation of the scalar approach to the weak asymptotics of Hermite–Padé polynomials: some recent achievements

MSK 13:00 – 14:30

🍽️ Lunch

Chairman: Vladimir Lysov

MSK 14:30 – 14:55

Ana Loureiro

Ratio asymptotics for symmetric multiple orthogonal polynomials

MSK 15:00 – 15:25

Alexander Dyachenko

Discrete multiple orthogonal polynomials on shifted lattices

MSK 15:30 – 15:55

Maria Lapik

On the asymptotics of orthogonal measure for special polynomials in the problem of radiation scattering

MSK 16:00 – 16:30

🥪 Break

Torino auditorium

Chairman: August Tsikh

MSK 16:30 – 16:55

Valery Beloshapka

Birationality of the automorphisms of the model surface

MSK 17:00 – 17:25

Maria Stepanova

On functions of finite analytical complexity

MSK 17:30 – 17:00

August Tsikh, Valery Beloshapka, Maria Stepanova, Alexander Mkrtchyan, Dmitriy Pochekutov, Sergey Feklistov, Ekaterina Kleshkova, et al.

Discussion and Open Problems

Chamonix auditorium

Chairman: Andrei Afendikov

MSK 16:30 – 16:55

Pavel Lushnikov

Dynamics of complex singularities in fluid dynamics and analytical continuation by rational approximants

MSK 17:00 – 17:25

Pavel Plotnikov

Stokes waves of extreme form

MSK 17:30 – 19:00

Andrei Afendikov, Pavel Lushnikov, Pavel Plotnikov, Alexander Aptekarev, Elena Belega, Tatiana Dudnikova, Alexei Ilyin, Valeria Tsvetkova, Igor Vlasov, et al.

Discussion and Open Problems

Fri 11 June

Chairman: Sergei Kalmykov

MSK 09:30 – 10:10

Andrei Martinez-Finkelshtein

Poncelet-Darboux, Kippenhahn, and Szegő: projective geometry, matrices and orthogonal polynomials

MSK 10:15 – 10:40

Béla Nagy

Bernstein type inequalities and potential theory

MSK 10:45 – 11:00

☕ Break

Chairman: Roman Bessonov