F. Kupka: Road to Amorfa

**Workshop scope****Participants and talks****Talk schedule****Sirius Center contact****Workshop convener**

## Workshop scope

- Quantum graphs
- Leaky quantum structures
- Metamaterial models
- Quantum transport
- Homogenisation
- Spectral geometry

## Participants and talks

**Naira Arrizabalaga**(BCAM Bilbao):**The eigenvalue problem for the generalized MIT bag model****Ram Band**(Technion - Israel Institute of Technology):**The characteristic torus****Diana Barseghyan**(Ostrava University):**Eigenvalue bounds for magnetic Schrödinger operators****Gregory Berkolaiko**(Texas A&M University):**Global extrema of dispersion relation of tight-binding models****Jens Bolte**(Royal Holloway, University of London):**Many particles on metric graphs: interactions and statistics****Raffaele Carlone**(Universita degli studi di Napoli):**On the nonlinear Dirac equation on metric graphs****Biagio Cassano**(Universita di Bari):**Self-adjoint extensions of the two-valley Dirac operator with discontinuous infinite mass boundary conditions****Kirill Cherednichenko**(University of Bath):**Functional model for extensions of symmetric operators and applications to scattering theory****Horia Cornean**(Aalborg University):**Parseval frames of exponentially localized magnetic Wannier functions****Pavel Exner**(Czech Technical University):**Spectral optimization for singular Schrödinger operators****Bernard Helffer**(Université de Nantes):**On Courant's nodal domain property for linear combinations of eigenfunctions****Ilia Kamotski**(University College London):**A homogenisation theory for a general class of singular problems; asymptotics with error estimates****Evgeni Korotyaev**(Sankt Peterburg State University):**Inverse problem for Schrodinger operators on periodic discrete and metric graphs****Alexey Kostenko**(Universität Wien):**Quantum graphs on radially symmetric antitrees****Hynek Kovaøík**(Universita degli studi di Brescia):**Time decay of the wave functions for two-dimensional Pauli and magnetic Dirac operators****Pavel Kurasov**(Stockholm University):**Inverse problems for quantum graphs****Jiøí Lipovský**(Universita Hradec Kralové):**Spectral asymptotics of the Laplacian on Platonic solids graphs****Albert Mas**(BCAM Bilbao):**The MIT Bag Model as an infinite mass limit****Davron Matrasulov**(Turin Polytechnic University in Tashkent):**Wave dynamics in transparent networks****Sergei Nazarov**(Institute for Problems in Mechanical Engineering RAN ):**Threshold resonances and attendant diffraction anomalies in quantum and other waveguides****Noema Nicolussi**(Universität Wien):**Self-adjoint extensions of infinite quantum graphs****Diego Noja**(Universit di Milano Bicocca):**Nonlinear Schrödinger equation on metric graphs: old and new results****Svetlana Pastukhova**(Russian Technological University, Moscow):**Operator norm resolvent approximations in homogenization of composites and similar structures****Olaf Post**(Universität Trier):**Some old and new results about norm resolvent convergence****Natalia Saburova**(Northern Arctic Federal University):**Spectral estimates for Schrödinger operators on periodic discrete graphs****Uzy Smilansky**(Weizmann Institute of Science):**Systematics of spectral shifts in random matrix ensembles****Valery Smyshlyaev**(University College London):**Schrödinger equation with a space-time linear potential on half-line: an unsolved canonical problem****Edgardo Stockmeyer**(Pontificia Universidad Católica de Chile):**Magnetic Dirac operators on domains: Zig-zag boundary conditions****Francoise Truc**(Université de Grenoble):**The essential spectrum of the discrete Laplacian on Klaus-sparse graphs**

For the list of participants in pdf click**here**.

For the book of abstracts in pdf click**here**.## Talk schedule

Monday 17

Tuesday 18

Wednesday 19

Thursday 20

Friday 21

08.30-09.00

*Registration*

*Chair: Exner*

*Chair: Smilansky*

*Chair: Helffer*

*Chair: Cornean*

*Chair: Korotyaev*

09.00-09.40

Smilansky

Helffer

Berkolaiko

Post

Saburova

09.50-10.30

Band

Carlone

Korotyaev

Cherednichenko

Truc

10.30-11.00

*Coffee break*

*Coffee break*

*Coffee break*

*Coffee break*

*Coffee break*

11.00-11.40

Kostenko

Stockmeyer

Bolte

Kovarík

Pastukhova

11.50-12.30

Nicolussi

Cassano

Nazarov

Kamotski

13.00-15.00

*Lunch*

*Lunch*

*Lunch*

*Lunch*

*Lunch*

*Chair: Cherednichenko*

*Chair: Kostenko*

*Chair: Berkolaiko*

*Chair:*

15.00-15.40

Cornean

Exner

Lipovsky

Barseghyan

15.40-16.10

*Coffee break*

*Coffee break*

*Coffee break*

*Coffee break*

16.10-16.50

Matrasulov

Arrizabalaga

Smyshlyaev

17.00-17.40

Noja

Mas

## Sirius Center contact

Alexei Shchuplev

Siberian Federal University, Krasnoyarsk

e-mail schuplev.av@talantiuspeh.ru

## Workshop convener

Pavel Exner

Doppler Institute for mathematical physics and applied mathematics, Prague

phone +420-776-154-823, e-mail exner@ujf.cas.cz

Last update: February 17, 2020