The conference will concentrate on the following topics in mathematical analysis within the context of mathematical physics:
⬢ | Direct and inverse spectral and scattering theory for differential and difference equations and for systems of such equations |
⬢ | Differential operators on spatial networks |
⬢ | Differential operators on closed sets |
⬢ | Inverse problems for nonlocal operators |
⬢ | Orthogonal polynomials, Jacobi and CMV matrices |
⬢ | Quantum graphs |
⬢ | Applications of spectral and scattering theory to quantum mechanics and plasma physics |
Tuncay Aktosun |
Pavel Exner |
Vassilis Papanicolaou |
Sergei Avdonin |
Fritz Gesztesy |
Olaf Post |
Jussi Behrndt |
Mikhail Ignatiev |
Julien Ricaud |
Gregory Berkolaiko |
Evgeny Korotyaev |
Victor Rykhlov |
Natalia Bondarenko |
Vladislav Kravchenko |
Mostafa Sabri |
Sergey Buterin |
Pavel Kurasov |
Christiane Tretter |
Abdon Choque-Rivero |
Maria Kuznetsova |
Mehmet Unlu |
Jan Dereziński |
Wencai Liu |
Ricardo Weder |
Bruno Després |
Delio Mugnolo |
Vjacheslav Yurko |
Ramazan Ercan |
|
Tuncay Aktosun (University of Texas at Arlington, USA)
Sergei Avdonin (University of Alaska Fairbanks, USA)
Ricardo Weder (Universidad Nacional Autónoma de México, Mexico)
Vjacheslav Yurko (Saratov State University, Russia)
The times indicated in the programme are in Mexico City time (UTC-6h)
Date |
Time |
Session |
05.08 |
8:45 am |
Inauguration - Dr. Ramsés Mena Chávez. Director IIMAS-UNAM, Mexico |
9:00-10:00 |
Fritz Gesztesy - Continuity properties of the spectral shift function for massless Dirac operators and an application to the Witten index |
|
10:00-10:15 |
Intermission |
|
10:15-11:15 |
Pavel Kurasov - Maximal dissipative operators on metric graphs: hypergraphs and multiplicities |
|
06.08 |
9:00-10:00 am |
Pavel Exner - Schrödinger operators with channel-type potentials |
10:00-10:15 |
Intermission |
|
10:15-11:15 |
Ricardo Weder - The Bernstein-Landau paradox in fusion plasmas. An operator theory point of view |
|
11:15-11:30 |
Intermission |
|
11:30-12:30 |
Gregory Berkolaiko - Morse theory for eigenvalues of self-adjoint families |
|
07.08 |
9:00-10:00 am |
Vjacheslav Yurko - Method of spectral mappings in the inverse problem theory |
10:00-10:15 |
Intermission |
|
10:15-11:15 |
Christiane Tretter - TBA |
|
08.08 |
9:00-10:00 am |
Jan Dereziński - Propagators on curved spacetimes |
10:00-10:15 |
Intermission |
|
10:15-11:15 |
Vladislav Kravchenko - Analytic representations for solutions in inverse coefficient problems |
|
11:15-11:30 |
Intermission |
|
11:30-12:30 |
Sergei Avdonin - Inverse problems for the Schrödinger operator on metric graphs |
|
09.08 |
9:00-10:00 am |
Evgeny Korotyaev - Schrödinger operators on periodic discrete and metric graphs |
10:00-10:15 |
Intermission |
|
10:15-11:15 |
Julien Ricaud - Nonlinear Dirac equation with Soler-type nonlinearity |
|
10.08 |
9:00-10:00 am |
Mikhail Ignatiev - Direct and inverse scattering for differential systems with singularity |
10:00-10:15 |
Intermission |
|
10:15-11:15 |
Ramazan Ercan - The direct and inverse scattering problems for the first-order linear discrete system associated with the derivative NLS system |
|
11:15-11:30 |
Intermission |
|
11:30-12:30 |
Abdon Choque-Rivero - The matrix Toda equation |
|
12.08 |
9:00-10:00 am |
Bruno Després - Scattering structure of linearized Vlasov-Poisson equations |
10:00-10:15 |
Intermission |
|
10:15-11:15 |
Tuncay Aktosun - Soliton solutions to a system of nonlinear evolution equations associated with a third-order ordinary linear differential equation |
|
13.08 |
9:00-10:00 am |
Natalia Bondarenko - Inverse problems for the fourth-order differential operators |
10:00-10:15 |
Intermission |
|
10:15-11:15 |
Olaf Post - Different variants of generalized operator norm convergence |
|
11:15-11:30 |
Intermission |
|
11:30-12:30 |
Jussi Behrndt - Spectral shift functions and Dirichlet-to-Neumann maps |
|
14.08 |
9:00-10:00 am |
Sergey Buterin - On damping a control system of arbitrary order with global aftereffect on a temporal tree |
10:00-10:15 |
Intermission |
|
10:15-11:15 |
Victor Rykhlov - On multiple completeness of root functions of certain classes of ordinary differential pencils of operators |
|
15.08 |
9:00-10:00 am |
Maria Kuznetsova - On inverse problems for operators with frozen arguments |
10:00-10:15 |
Intermission |
|
10:15-11:15 |
Vassilis Papanicolaou - Discrete and continuous non-self-adjoint Hill operators whose spectrum is a real interval |
|
11:15-11 :30 |
Intermission |
|
11:30-12:30 |
Mostafa Sabri - Ergodic Theorems for Continuous-time Quantum Walks on Crystal Lattices and the Torus |
|
16.08 |
9:00-10:00 am |
Wencai Liu - Algebraic geometry, complex analysis and combinatorics in spectral theory of periodic graph operators |
10:00-10:15 |
Intermission |
|
10:15-11:15 |
Delio Mugnolo - The heat kernel on metric graphs and its geometric significance |
|
17.08 |
9:00-10:00 am |
Mehmet Unlu - The Marchenko method for the general system of derivative nonlinear Schrödinger equations |
10:00-10:15 |
Intermission |
|
10:15-11:15 |