August 14th – August 18h 2023 in Lund, Sweden

ICSTA

International conference on spectral theory and approximation

ICSTA 2023

Welcome to the first international conference on spectral theory and approximation, hosted by Lund University.

The conference will take place August 14th to 18th 2023 in Lund, which is located in the south of Sweden, not far from Copenhagen.

The aim of the conference is to bring together researchers working in areas related to Spectral Theory and Approximation in a broad sense to promote interaction and exchange of ideas.

The topics of the conference include, but are not limited to:

Periodic and Almost Periodic Operators
Extremal Problems
Jacobi and CMV matrices
Orthogonal Polynomials
Schrödinger Operators
Random Matrices
Toeplitz Operators

Scientific committe: Jacob Stordal Christiansen (Lund University), Henrik Laurberg Pedersen (University of Copenhagen), Mikael Persson Sundqvist (Lund University), and Frank Wikström (Lund University)

We look forward to seeing you all in August!

Program

Monday, August 14th

9.30-10.00 Registration
10.00-10.15 Opening
10.15-11.15 Alexander Pushnitski, An inverse spectral problem for non-Hermitian Jacobi matrices
11.15-11.45 Grzegorz Swiderski, On absolute continuity of block Jacobi matrices
12.00-14.00 Lunch
14.00-15.00 Benjamin Eichinger, Necessary and sufficient conditions for universality limits
15.00-15.30 Alex Bergman, Invariant subspaces for solutions to second order ODE
15.30-16.00 Coffee
16.00-16.30 Jakob Reiffenstein, Determining the order of indeterminate moment problems
16.30-17.00 Ayoub Harrat, Full moment problem for discrete measures

Tuesday, August 15th

9.30-10.00 Juan Diaz, Hahn multiple orthogonal polynomials of type I
10.00-11.00 María Ángeles García-Ferrero, Exceptional polynomials and how to ﬁnd them
11.00-11.30 Yaozhong Qiu, Weyl asymptotics for functional difference operators with potential
11.30-12.00 Olena Atlasiuk, Approximation of solutions to generic boundary-value problems in Sobolev spaces
12.00-14.00 Lunch
14.00-17.00 Excursion to Kulturen in Lund

Wednesday, August 16th

10.00-11.00 Maxim Zinchenko, Bounds for Chebyshev and extremal polynomials
11.00-11.30 Olof Rubin, Chebyshev polynomials on polynomial preimage sets
11.30-12.00 Teodor Bucht, A geometric approach to approximating the limit set of eigenvalues for banded Toeplitz matrices
12.00-14.00 Lunch
14.00-15.00 Aron Wennman, The Christoffel-Darboux kernel without the Christoffel-Darboux formula
15.00-15.30 Jiyuan Zhang, Stable invariant Hermitian random matrices and the rate of convergence
15.30-16.00 Coffee
16.00-16.30 Joakim Cronvall, Fluctuations near a spectral gap in the random normal matrix model
16.30-17.00 Sergey Denisov, Szegö condition, scattering, and vibration of Krein strings (on Zoom)

Thursday, August 17th

10.00-11.00 Wafaa Assaad, A 3D-Schrödinger operator under magnetic steps with applications in superconductivity
11.00-11.30 Matthias Baur, Optimization of eigenvalues of the magnetic Dirichlet-Laplacian on planar domains
11.30-12.00 Germán Miranda, Discrete spectrum of the magnetic Laplacian on almost ﬂat magnetic barriers
12.00-14.00 Lunch
14.00-15.00 Søren Fournais, Counting eigenvalues below the ﬁrst Landau level for magnetic Schr ¨odinger operators on bounded domains
15.00-15.30 Daniel Parra Vogel, Continuum limit for a discrete Hodge-Dirac operator on square lattices
15.30-16.00 Coffee
16.00-16.30 Søren Mikkelsen, Sharp semiclassical Weyl law for Schrödinger operators without full regularity
16.30-17.00 Volodymyr Mikhailets, Spectral analysis of periodic Schrödinger operators with strongly singular potentials
18.30- Conference diner at Restaurant Ishiri

Friday, August 18th

10.00-10.30 Assil Fradi, A Riemann-Hilbert approach for Laguerre, Jacobi, and Bessel types matrix orthogonal
10.30-11.00 Mateusz Piorkowski, Biased two periodic Aztec diamond via matrix-valued orthogonal polynomials
11.00-12.00 Arno Kuijlaars, Matrix-valued orthogonal polynomials and random tilings of a hexagon
12.00-12.10 Closing
12.00-14.00 Lunch