Analysis and Mathematical Physics

AMP 2024

Analysis and Mathematical Physics is an online conference aiming to bring together leading experts and young researchers from all over the world who work or are interested in mathematical problems within the context of mathematical physics.

AMP conference's purpose is also to facilitate the exchange of ideas and help develop existing and future scientific collaborations. There will be several lectures on the topics; there will be no charge to speakers or participants, but registration is required.

AMP conference will be an online event from August 5 to 17th, 2024, on a ZOOM meeting broadcast live on Facebook and YouTube IIMAS's institutional channels.

Scope

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



Invited Speakers

Tuncay Aktosun
(University of Texas at Arlington, USA)

Pavel Exner
(Nuclear Physics Institute - Academy of Sciences, Czechia)

Vassilis Papanicolaou
(National Technical University of Athens, Greece)

Sergei Avdonin
(University of Alaska Fairbanks, USA)

Fritz Gesztesy
(Baylor University, USA)

Olaf Post
(University of Trier, Germany)

Jussi Behrndt
(Graz University of Technology, Austria)

Mikhail Ignatiev
(Saratov State University, Russia)

Julien Ricaud
(Universidad Nacional Autónoma de México, Mexico)

Gregory Berkolaiko
(Texas A&M University, USA)

Evgeny Korotyaev
(St. Petersburg State University, Russia)

Victor Rykhlov
(Saratov State University, Russia)

Natalia Bondarenko
(Samara University, Russia)

Vladislav Kravchenko
(Centro de Investigación y de Estudios Avanzados - Instituto Politécnico Nacional, Mexico)

Mostafa Sabri
(NYU Abu Dhabi, Abu Dhabi)

Sergey Buterin
(Saratov State University, Russia)

Pavel Kurasov
(Stockholm University, Sweden)

Christiane Tretter
(University of Bern, Switzerland)

Abdon Choque-Rivero
(Universidad Michoacana de San Nicolás de Hidalgo, Mexico)

Maria Kuznetsova
(Saratov State University, Russia)

Mehmet Unlu
(Recep Tayyip Erdogan University, Turkey)

Jan Dereziński
(University of Warsaw, Poland)

Wencai Liu
(Texas A&M University, USA)

Ricardo Weder
(Universidad Nacional Autónoma de México, Mexico)

Bruno Després
(Sorbonne Université, France)

Delio Mugnolo
(FernUniversität in Hagen, Germany)

Vjacheslav Yurko
(Saratov State University, Russia)

Ramazan Ercan
(California State University San Marcos, USA)

 



Organizing Committee

Registration

Registration is now closed. We appreciate your participation and enthusiasm for this event.


The speakers and the registered participants will receive an e mail with the link to join the ZOOM meeting and with the instructions to join the broadcast on Facebook and YouTube IIMAS's institutional channels.


Programme AMP 2024

The times indicated in the programme are in Mexico City time (UTC-6h)



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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 - Challenges for non-selfadjoint spectral problems in analysis and computation

 

 

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

Bruno Després - Scattering structure of linearized Vlasov-Poisson equations

 

 

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

Julien Ricaud - Nonlinear Dirac equation with Soler-type nonlinearity

 

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

Sergei Avdonin (University of Alaska Fairbanks, USA), Pavel Kurasov (Stockholm University, Sweden), Grigori Rozenblioum (Chalmers University of Technology, Sweden), Ricardo Weder (Universidad Nacional Autónona de México, Mexico).

Dimitri R. Yafaev. In memoriam.

 

 

Book of Abstracts
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