Conference «Complex Approximations Orthogonal Polynomials and Applications».

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    Omega Sirius Hotel ⭐️⭐️⭐️ (Olympic Ave, 3, Bolshoy Sochi, Krasnodar Krai, 354340, Russia)

background photo by Arne Müseler

Conference

«Complex Approximations Orthogonal Polynomials and Applications»

 

The main direction of the workshop is to communicate recent results in the theory of rational approximation of analytic functions. Important tools for rational approximation are the Riemann-Hilbert problems, the theory of orthogonal polynomials, the theory of the logarithmic potential and the operator theory for difference operators.

 

The workshop is organized by

 

Scopes

Discuss the application of complex approximations and orthogonal polynomials in the spectral theory of difference operators, models of random matrices and special functions, which play an important role in applied and computational mathematics.

Bring together leading experts to discuss the latest advances in complex approximations and orthogonal polynomials.

Schedule

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
MSK 11:00 – 11:25
Sergei Khrushchev
Uniformly convergent Fourier series with universal power parts on closed subsets of measure zero
MSK 11:30 – 11:55
Konstantin Fedorovskiy
Chui's conjecture in Bergman spaces
MSK 12:00 – 12:25
Wayne Lawton
Approximations and almost periodicity
MSK 12:30 – 13:10
Nikos Stylianopoulos
Bergman, Szegő, Faber and Christoffel: boundary behavior
MSK 13:15 – 13:30
🎉 Closing Ceremony
MSK 13:30 – 15:00
🍽️ Lunch

 

 

All questions regarding the program, including the title and abstract of your talk, should be addressed to caopa2020@gmail.com .

Don't forget about deadlines:

  • April 19 for the details of your trip — smc@sochisirius.ru
  • April 26 for the abstracts of your talk — caopa2020@gmail.com

 

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