Participant ListScheduleView Videos
Organized by:
David Damanik (Rice University),
Jake Fillman (Texas State University),
Selim Sukhtaiev (Auburn University)
Ergodic Schrödinger operators have been studied heavily since the 1970s, as they include many examples of physical interest, such as disordered media, electrons in an external magnetic field, and quasicrystals. These operators enjoy many subtle connections to other areas of mathematics, such as dynamical systems, topology, and group theory.
The study of quantum graphs stems from the modeling of thin waveguides arranged into a topological network. Such models appeared already in the 1930s but have experienced a surge in popularity in recent years.
Recent works have exploited connections between these two fields; these developments have scratched the surface of a much larger opportunity for collaboration. Thus, the aim of this workshop is to bring these two communities together for two purposes: to disseminate recent results, and to foster collaboration and communication between these communities.
Talk Schedule
Time | Title | Speaker | Location |
8:30am | Breakfast | SCGP Cafe | |
9:00am | Vertex coupling effects in quantum graph spectra | Pavel Exner | SCGP 102 |
10:00am | Coffee Break | N/A | SCGP Cafe |
10:30am | Fermi isospectrality for discrete periodic Schrödinger operators | Wencai Liu | SCGP 102 |
11:30am | Small Break | N/A | SCGP Cafe |
11:45am | Localization for anisotropic XY spin chain in quasi-periodic magnetic field | Rui Han | Zoom |
12:45pm | Lunch | N/A | SCGP Cafe |
2:15pm | On the hot spots of quantum graphs | Jonathan Rohleder | Zoom |
3:15pm | Tea Time | N/A | SCGP Cafe |
4:00pm | Time dependent quantum graphs and the geometric phase | Gilad Sofer | SCGP 102 |
4:30pm | 1-Dim Half-line Schrödinger Operators with H^{-1} Potentials | Xingya Wang | SCGP 102 |
Time | Title | Speaker | Location |
8:30am | Breakfast | SCGP Cafe | |
9:00am | M-functions and metric graphs:hierarchy, inverse problems and magnetic fluxes | Pavel Kurasov | Zoom |
10:00am | Coffee Break | N/A | SCGP Cafe |
10:30am | The Kronig-Pennet model in a quadratic channel with δ interactions | Uzy Smilansky | SCGP 102 |
11:30am | Lunch | N/A | SCGP Cafe |
1:00pm | Quantum mechanics on graphs:why is it interesting? | Pavel Exner | N/A |
2:15pm | Generic Laplace eigenfunctions of finite metric graphs | Lior Alon | SCGP 102 |
3:15pm | Small Break | N/A | SCGP Cafe |
3:30pm | Universality of nodal count statistics in large graphs | Gregory Berkolaiko | SCGP 102 |
Time | Title | Speaker | Location |
8:30am | Breakfast | SCGP Cafe | |
9:00am | Magnetic oscillations in a model of (twisted bilayer) graphene | Simon Becker | Zoom |
10:00am | Coffee Break | N/A | SCGP Cafe |
10:30am | The Maslov index and the spectrum of differential operators | Yuri Latushkin | SCGP 102 |
11:30am | Small Break | N/A | SCGP Cafe |
11:45am | Spectral flows and the Robin count deficiency for metric graphs | Ram Band | SCGP 102 |
12:45pm | Lunch | N/A | SCGP Cafe |
2:15pm | Localization and eigenvalue statistics within Hartree-Fock theory | Rodrigo Matos | SCGP 102 |
3:15pm | Tea Time | N/A | SCGP Cafe |
4:00pm | Laplacians on Infinite Graphs | Noema Nicolussi | SCGP 102 |
6:00pm | Banquet | N/A | SCGP Cafe |
Time | Title | Speaker | Location |
8:30am | Breakfast | SCGP Cafe | |
9:00am | Two classes of ergodic operators on quantum graphs | Selim Sukhtaiev | Zoom |
10:00am | Coffee Break | N/A | SCGP Cafe |
10:30am | Spectral Properties of Periodic Elastic Beam Hamiltonians on Hexagonal Lattices | Burak Hatinoglu | SCGP 103 |
11:45am | Problem Session | N/A | SCGP 102 |
12:45pm | Lunch | N/A | SCGP Cafe |
2:15pm | Spectral approximations beyond dimension one | Siegfried Beckus | SCGP 102 |
3:15pm | Tea Time | N/A | SCGP Cafe |
4:00pm | Eigenvector behavior for graphs from quantized interval maps | Laura Shou | SCGP 102 |
Time | Title | Speaker | Location |
8:30am | Breakfast | SCGP Cafe | |
9:00am | Reducibility of the Bloch and Fermi Varieties | Stephen Shipman | SCGP 102 |
10:00am | Coffee Break | N/A | SCGP Cafe |
10:30am | Multiscale Analysis in Momentum Space for Multi-Dimensional Quasi-Periodic Schrodinger Operators | Yulia Karpeshina | SCGP 102 |
11:30am | Lunch | N/A | SCGP Cafe |