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Workshop "New Trends in Mathematical Physics"
(November 9–December 11, 2020, online)

"New Trends in Mathematical Physics" is a thematic program devoted to actively developing branches of mathematical physics, in particular, theory of open quantum systems, mathematical structures arising in quantum theory, general relativity, PDE, geometric theory of defects. The program is aimed at the collaboration of specialists working in various fields of mathematical physics. The program consists of: a four-weak workshop, which includes joint scientific work and seminars (November 9–20 and November 30–December 11) and a one-week International Conference on Mathematical Physics in Memory of Academician V.S. Vladimirov (November 23–27).

Subjects of the program:

  • Open quantum systems. Stochastic limit and related topics
  • p-adic mathematical physics
  • Geometrical theory of defects
  • Equations of mathematical physics
  • Dynamics and singularities. Black holes and cosmology. Modified gravity
  • Mathematical structures emerging in quantum theories

The workshop will be online on the Zoom platform.

Schedule

Participants

Financial support. The conference is supported by the Simons Foundation and the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, Agreement no. 075-15-2019-1614).

E-mail:

Program

Abstracts

Program Committee
Volovich Igor Vasil'evich (Chairman)
Accardi Luigi
Aref'eva Irina Yaroslavna
Dragovich Branko
Kerner Richard
Watanabe Noboru
Zagrebnov Valentin Anatol'evich

Organizing Committee
Volovich Igor Vasil'evich (Chairman)
Inozemcev Oleg Valerievich (Scientific Secretary)
Katanaev Mikhail Orionovich
Kozyrev Sergei Vladimirovich
Pechen Alexander Nikolaevich
Sakbaev Vsevolod Zhanovich
Trushechkin Anton Sergeevich

Institutions
Steklov International Mathematical Center
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow


Workshop "New Trends in Mathematical Physics", November 9–December 11, 2020

November 9, 2020 (Mon)
1. Note on complexity for the quantum compound systems
Noboru Watanabe
November 9, 2020 16:00–17:00, online
  

November 10, 2020 (Tue)
2. How faithfully the evolution of composite open quantum systems can be modeled?
Antonio Vidiella-Barranco
November 10, 2020 16:00–17:00, online
  

November 11, 2020 (Wed)
3. Genome as a functional program
Sergey Kozyrev
November 11, 2020 16:00–17:00, online
  

November 12, 2020 (Thu)
4. Dynamics of quantum states generated by Schrodinger equation admitting blow up phenomenon
Vsevolod Sakbaev
November 12, 2020 16:00–17:00, online
  

November 13, 2020 (Fri)
5. Universal Spectra of Random Lindblad Operators
Dariusz Chruściński
November 13, 2020 16:00–17:00, online
  

November 16, 2020 (Mon)
6. The n-dimensional quadratic Heisenberg algebra as a “non-commutative” $sl(2, C)$
Luigi Accardi
November 16, 2020 16:00–17:00, online
  
7. Structure of Classical Mathematical Physics as new Project and new Journal
Vadim Malyshev
November 16, 2020 17:00–18:00, online

November 17, 2020 (Tue)
8. Reduced quantum dynamics in all orders of perturbation theory with Bogolubov-van Hove scaling
Alexander Teretenkov
November 17, 2020 16:00–16:20, online
  
9. Global properties of spherically symmetric solutions in General Relativity with an Electromagnetic field and a Cosmological Constant
Daniel Afanasev
November 17, 2020 16:25–16:45, online
  
10. On formulation of the Eigenstate Thermalization Hypothesis
Oleg Inozemcev
November 17, 2020 16:50–17:10, online
  

November 18, 2020 (Wed)
11. Quantum-like models: decision making and social laser
Andrei Khrennikov
November 18, 2020 16:00–17:00, online
  
12. Symmetry and block structure of the Liouvillian superoperator in partial secular approximation
Marco Cattaneo
November 18, 2020 17:00–18:00, online
  
13. Relativistic Brownian motion. 1
Andrey Mikhailov
November 18, 2020 18:00–18:20, online
  
14. Relativistic Brownian motion. 2
Edward Kurianovich
November 18, 2020 18:25–18:45, online
  

November 19, 2020 (Thu)
15. Mathematical methods of quantum cryptography
Anton Trushechkin
November 19, 2020 16:00–17:00, online
16. Equilibrium quantum batteries and their nonequilibrium operations
Felipe Barra
November 19, 2020 17:00–18:00, online
  

November 20, 2020 (Fri)
17. On classical capacity of quantum Weyl channels
Grigori Amosov
November 20, 2020 16:00–17:00, online
  
18. Partial spectral flow and the Aharonov–Bohm effect in graphene
Vladimir Nazaikinskii
November 20, 2020 17:00–18:00, online
  
19. Spin-Locality and Star-Product Functions in Higher-Spin Theory
Mikhail Vasiliev
November 20, 2020 18:00–19:00, online
  

November 30, 2020 (Mon)
20. A quantum optomechanical system in a Mach-Zehnder interferometer
Alberto Barchielli
November 30, 2020 16:00–17:00, online
  
21. Optimal form of the Kretschmann-SchlingemannWerner theorem for energy-constrained quantum channels and operations
Maksim Shirokov
November 30, 2020 17:00–18:00, online
  
22. On the optical-mechanical analogy of the Dirac theory
Nikolay Chuprikov
November 30, 2020 18:00–18:20, online
  

December 1, 2020 (Tue)
23. Unifying colour SU(3) with Z3-graded Lorentz-Poincaré Algebra
Richard Kerner
December 1, 2020 16:00–17:00, online
  
24. Binary Black Hole Shadows: Chaos in General Relativity
Miguel A. F. Sanjuan
December 1, 2020 17:00–18:00, online
  
25. Large Deviations for Fermions at Equilibrium - An Approach to Macroscopic Behavior at Nanoscales
Jean-Bernard Bru
December 1, 2020 18:00–19:00, online
  

December 2, 2020 (Wed)
26. Generalization of the hierarchical model on the two-dimensional lattice
Mukadas Missarov
December 2, 2020 16:00–17:00, online
  
27. Breaking of the similarity principle in Markov generators of low density limit.
Roberto Quezada
December 2, 2020 17:00–18:00, online
  
28. Theorems on stabilization of solutions of parabolic equations
Vasily Denisov
December 2, 2020 18:00–18:25, online
  
29. The Ritus-Narozhny conjecture and resummation of radiative corrections in QED in a constant crossed field
Arseny Mironov
December 2, 2020 18:30–18:50, online
  

December 3, 2020 (Thu)
30. Convergence to stationary nonequilibrium states for Hamiltonian dynamical systems
Tatiana Dudnikova
December 3, 2020 16:00–17:00, online
  
31. Role of local and non-local master equations in the description of non-Markovian open quantum system dynamics
Bassano Vacchini
December 3, 2020 17:00–18:00, online
  
32. Optimal control problems investigation for fractional diffusion and diffusion-wave equations
Sergey Postnov
December 3, 2020 18:00–18:20, online
33. Diagonalizability of quantum Markov States on trees
Abdessatar Souissi
December 3, 2020 18:25–18:45, online
  

December 4, 2020 (Fri)
34. On non-local modified gravity. On the square root model and its cosmological solutions
Zoran Rakic
December 4, 2020 16:00–17:00, online
  
35. The effective potential method for cosmological models with the Gauss-Bonnet term
Sergey Vernov
December 4, 2020 17:00–18:00, online
  
36. Oscillations of nucleus decay parameters in nonlinear quantum mechanics
Sergey Mayburov
December 4, 2020 18:00–18:20, online
  
37. Scanning and compaction of discrete ion fluxes by the magnetic field system and the ion-emission quantum energy converter
Mikhail Dolgopolov
December 4, 2020 18:25–18:45, online
  

December 7, 2020 (Mon)
38. Pressure dependence of phonon populations and non-standard quasiadditive integrals of motion
Fridrikh Dzheparov
December 7, 2020 16:00–17:00, online
  
39. Spinoptics in a curved spacetime
Valery Frolov
December 7, 2020 17:00–18:00, online
  

December 8, 2020 (Tue)
40. Toward Information Paradox Resolution by Special Equations of State
Irina Aref’eva
December 8, 2020 16:00–17:00, online
  
41. Schwarzian functional integrals calculus
Vladimir Belokurov
December 8, 2020 17:00–18:00, online
  

December 9, 2020 (Wed)
42. Semiclassical S-matrix in dilaton gravity with a boundary
Dmitry Levkov
December 9, 2020 16:00–17:00, online
  
43. Levy Laplacians, holonomy group and instantons on 4-manifolds
Boris Volkov
December 9, 2020 17:00–17:20, online
  
44. Stochastic representations for solutions of a class of integro-differential evolution equations
Yana Kinderknecht (Butko)
December 9, 2020 17:25–17:45, online
  

December 10, 2020 (Thu)
45. Lattice nonlinear Schrödinger equation
Vladimir Korepin
December 10, 2020 16:00–17:00, online
  
46. Quantum Inverse Scattering Method and scalar products
Nikita Slavnov
December 10, 2020 17:00–18:00, online
  

December 11, 2020 (Fri)
47. Supercritical Poincaré-Andronov-Hopf bifurcation in a mean field quantum laser equation
Franco Fagnola
December 11, 2020 16:00–17:00, online
  
48. Strong coupling thermodynamics of open quantum systems
Angel Rivas
December 11, 2020 17:00–18:00, online
  
49. Redfield, local and global quantum master equations from the viewpoint of quantum stochastic limit
Anton Trushechkin
December 11, 2020 18:00–19:00, online
  
 
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