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Complex Approximations, Orthogonal Polynomials and Applications Workshop
(June 7–11, 2021, Sochi)

The workshop is postponed, new dates will be available soon

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 main objective of the workshop is to discuss the applications of complex approximations and orthogonal polynomials in the spectral theory of difference operators, random matrices models and special functions, which play an important role in applied and computational mathematics.

 E-mail: email Website: http://caopa.tilda.ws
 Complex Approximations, Orthogonal Polynomials and Applications Workshop, Sochi, June 7–11, 2021 June 7, 2021 (Mon) 1. An almost periodic model for general reflectionless spectral dataR. V. BessonovJune 7, 2021 09:30–10:10, Sochi 2. On the uniform convergence of Green's functionsS. I. KalmykovJune 7, 2021 10:15–10:40, Sochi 3. Multiplicity of zeros of polynomialsV. TotikJune 7, 2021 11:15–11:40, Sochi 4. Pointwise Remez inequalityP. M. YuditskiiJune 7, 2021 11:45–12:25, Sochi 5. Convergence rate for weighted polynomial approximation on the real lineA. A. KononovaJune 7, 2021 12:30–12:55, Sochi 6. Solving the signed equilibrium problem on several real intervalsB. Beckermann, A. C. MatosJune 7, 2021 14:30–14:55, Sochi 7. Tensors, polynomials and rank increment conjectureE. E. TyrtyshnikovJune 7, 2021 15:00–15:25, Sochi 8. Stability polynomials for explicit Runge–Kutta methods: optimal and dampedA. B. BogatyrevJune 7, 2021 15:30–15:55, Sochi 9. On $L_{\mathbb R}^2$-best rational approximants to Markov functions on several intervalsM. YattselevJune 7, 2021 16:30–16:55, Sochi 10. Subharmonic functions in spectral theory and multidimensional scatteringS. A. DenisovJune 7, 2021 17:00–17:25, Sochi 11. Aspects of nonlinear differential equationsG. V. FilipukJune 7, 2021 17:30–17:55, Sochi June 8, 2021 (Tue) 12. Analytic continuation of the multiple hypergeometric functionsS. I. BezrodnykhJune 8, 2021 09:30–10:10, Sochi 13. Properties of level curves of a function generated by an Abel integral on three-sheeted torusS. R. NasyrovJune 8, 2021 10:15–10:40, Sochi 14. Matrix-valued orthogonal polynomials related to hexagon tilingsA. KuijlaarsJune 8, 2021 11:00–11:40, Sochi 15. Global phase portrait and large degree asymptotics for the kissing polynomialsA. DeañoJune 8, 2021 11:45–12:25, Sochi 16. Approximations and almost periodicityW. M. LawtonJune 8, 2021 12:30–12:55, Sochi 17. From OPRL to OPUC. A matrix approach beyond the Szegő transformationsF. J. MarcellánJune 8, 2021 14:30–14:55, Sochi 18. Polynomial solutions of linear differential operators and Bochner's theoremM. Yu. TyaglovJune 8, 2021 15:00–15:25, Sochi 19. Riesz energy problems in unbounded sets of $\mathbb{R}^{d}$F. WielonskyJune 8, 2021 15:30–15:55, Sochi 20. Jackson-type estimates on the weighted unit ballM. A. PiñarJune 8, 2021 16:30–16:55, Sochi 21. Chebyshev polynomials in the complex planeJ. ChristiansenJune 8, 2021 17:00–17:25, Sochi 22. On the best uniform polynomial approximation to the checkmark functionP. DragnevJune 8, 2021 17:30–17:55, Sochi June 9, 2021 (Wed) 23. Real-valued semiclassical approximation for the asymptotics with complex-valued phases and its application to multiple orthogonal Hermite polynomialsA. V. TsvetkovaJune 9, 2021 09:30–10:10, Sochi 24. Differential equation for the limit of the nearest neighbour recursion coefficients for MORPLR. V. KozhanJune 9, 2021 10:15–10:40, Sochi 25. Hermite–Padé approximation and the number $\pi$W. Van AsscheJune 9, 2021 11:00–11:40, Sochi 26. On some results in multiple orthogonal polynomials and its applicationsV. A. KalyaginJune 9, 2021 11:45–12:10, Sochi June 10, 2021 (Thu) 27. From Ginzburg–Landau vortices to Seiberg–Witten equationsA. G. SergeevJune 10, 2021 09:30–10:10, Sochi 28. Multivariate mixed orthogonal functions satisfying three term relationsT. E. PérezJune 10, 2021 10:15–10:40, Sochi 29. On Markov's theorem for multi-level Hermite–Padé approximants of a Nikishin systemG. López LagomasinoJune 10, 2021 11:00–11:25, Sochi 30. Ratio asymptotic of generalized multi-level Hermite–Padé polynomialsL. González RicardoJune 10, 2021 11:30–11:55, Sochi 31. On algebraic properties of the mixed type approximantsV. G. LysovJune 10, 2021 12:00–12:25, Sochi 32. On the generalisation of the scalar approach to the weak asymptotics of Hermite–Padé polynomials: some recent achievementsE. LopatinJune 10, 2021 12:30–12:55, Sochi 33. Ratio asymptotics for symmetric multiple orthogonal polynomialsA. LoureiroJune 10, 2021 14:30–14:55, Sochi 34. Discrete multiple orthogonal polynomials on shifted latticesA. V. DyachenkoJune 10, 2021 15:00–15:25, Sochi 35. On the asymptotics of orthogonal measure for special polynomials in the problem of radiation scatteringM. A. LapikJune 10, 2021 15:30–15:55, Sochi Section I 36. Birationality of the automorphisms of the model surfaceV. K. BeloshapkaJune 10, 2021 16:30–16:55, Section I, Sochi 37. On functions of finite analytical complexityM. A. StepanovaJune 10, 2021 17:00–17:25, Section I, Sochi Section II 38. Dynamics of complex singularities in fluid dynamics and analytical continuation by rational approximantsP. M. LushnikovJune 10, 2021 16:30–16:55, Section II, Sochi 39. Stokes waves of extreme formP. I. PlotnikovJune 10, 2021 17:00–17:25, Section II, Sochi June 11, 2021 (Fri) 40. Poncelet–Darboux, Kippenhahn, and Szegő: projective geometry, matrices and orthogonal polynomialsA. Martínez-FinkelshteinJune 11, 2021 09:30–10:10, Sochi 41. Bernstein type inequalities and potential theoryB. NagyJune 11, 2021 10:15–10:40, Sochi 42. Uniformly convergent Fourier series with universal power parts on closed subsets of measure zeroS. V. KhrushchevJune 11, 2021 11:00–11:25, Sochi 43. Optimal bounds for the attractor dimension for 3D damped regularized Euler equationsA. A. IlyinJune 11, 2021 11:30–11:55, Sochi 44. Chui’s conjecture in Bergman spacesK. Yu. FedorovskiyJune 11, 2021 12:00–12:25, Sochi 45. Bergman, Szegő, Faber and Christoffel: boundary behaviorN. StylianopoulosJune 11, 2021 12:30–13:10, Sochi