Program

The PDF file with the program is here

You can download the book of abstracts from pca2024_book.pdf

Please contact to the organizers if you see some mistakes and/or collisions with your own schedule.

Video recordings of all the talks are available in the Youtube playlist

April 15

10:00 — 10:30 Registration, coffee
Euler Institute, Pesochnaya nab. 10
The link to the Zoom channel of PCA is in your personal account
10:30 — 11:00 Vladimir Kornyak (Joint Institute for Nuclear Research, Meshcheryakov Laboratory of Information Technologies)
Finite groups and quantum mechanics: evolution and decomposition of quantum systems
slides video abstract
11:00 — 11:30 Yuri Blinkov (Saratov State University)
Compact first-order differential approximations: a case study of the Korteweg-de Vries equation
slides video abstract
11:30 — 12:00 Coffee break
12:00 — 12:30 Alexander Batkhin, Alexander Petrov (Technion - Israel Institute of Technology)
On parametrization of orthogonal symplectic matrices and its applications
slides video abstract
12:30 — 13:00 Nikolai Proskurin (St. Petersburg Department of Steklov Institute of Mathematics)
On pictures related to some exponential sums
slides video abstract
13:00 — 15:00 Lunch in the Hotel Kamennoostrovskaya
15:00 — 15:30 Vladimir Titov (Saint-Petersburg State University)
Periodic orbits in the shape space
slides video abstract
15:30 — 16:00 Alexander Bruno, Alijon Azimov (Samarkand State University named after Sh. Rashidov)
Asymptotic expansions of a manifold near its curve of singular points
slides video abstract
16:00 — 16:30 Coffee break
16:35 — 17:05 Boris Kazarnovskii (Institute for Information Transmission Problems)
The zeros of random sections of real vector bundles
slides video abstract
17:10 — 17:40 Alexander Chistov (St. Petersburg Depatment of Steklov Mathematical Institute of the Academy of Sciences of Russia)
Estimates for roots of a polynomial in the field of multiple formal fractional power series in zero characteristic
slides video abstract
17:40 — 18:20 Elina Shishkina, Oleg Marichev (Voronezh State University,Wolfram Research Inc.)
The H-Transform in Wolfram Mathematica and Its Particular Cases
slides video abstract
Welcome party

April 16

Euler Institute, Pesochnaya nab. 10
The link to the Zoom channel of PCA is in your personal account
10:00 — 10:30 Victor Selivanov (Saint Petersburg university)
Remarks on Tarski's elimination
slides video abstract
10:30 — 11:00 Alexandr Seliverstov (Institute for Information Transmission Problems of the Russian Academy of Sciences)
On the Length of an Unsatisfiable Conjunction
slides video abstract
11:00 — 11:30 Mikhail Babich, Ljudmila Bordag, Arsen Khvedelidze, Dmitar Mladenov (St. Petersburg Department of Steklov Mathematical Institute)
On multidimensional analogs of the Euler angles and Grassmanians.
slides video abstract
11:30 — 12:00 Coffee break
12:00 — 13:00 Alexander Bruno (Keldysh Institute of Applied Mathematics of RAS)
Analytic solving any equation of polynomial type on variables   and derivatives
slides video abstract
13:30 — 15:00 Lunch in the Hotel Kamennoostrovskaya
15:00 — 15:30 Boris Zolotov, Alexander Tiskin, Nikita Gaevoy (St. Petersburg State University; Euler International Mathematical Institute)
Doubly-periodic string comparison
video abstract
15:30 — 16:00 Nikita Gogin, Vladislav Shubin (Stockholm University)
Binomial Coefficients as Functions of their Denominator; Another Primality Criteria for Natural Integers
slides video abstract
16:00 — 16:30 Coffee break
16:30 — 17:00 Egor Smirnov-Maltsev, Vasilii Duzhin, (Saint Petersburg Electrotechnical University "LETI")
Some geometric properties of shifted Young diagrams of maximum dimensions
slides video abstract
17:00 — 17:30 Alexander Sakharov (Synstretch)
Partially Ordered Derivations in Sequent Calculi for Nonstandard Logics
slides video abstract

April 17

10:00 — 10:30 Sergey Gutnik (Moscow State Institute of International Relations (MGIMO University))
Investigation of the Periodic Planar Oscillations of a Two-Body System in an Elliptic Orbit Using the Polynomial Algebra Methods
slides video abstract
10:30 — 11:00 Victor Edneral (Lomonosov Moscow State University)
On the integrability of two- and three-dimensional dynamical systems with a quadratic right-hand side in cases of resonances in linear parts and in cases of general position.
slides video abstract
11:00 — 11:30 Coffee break
11:30 — 12:00 Lubov’ Lapshenkova, Mikhail Malykh, Mark Gambaryan (Patrice Lumumba Peoples' Friendship University of Russia)
On computer experiments with reversible difference schemes in Sage
slides video abstract
12:00 — 12:20 Sergei Pozdniakov (Saint-Petersburg Electrotechnical University)
Algorithmic mathematics in a technical university: different ways to comprehend the material
slides video abstract
12:20 — 13:00 Semjon Adlaj (Dorodnicyn Computing Center of the Russian Academy of Sciences)
The Euler top and the Lagrange top as two special cases of the Galois top
slides video abstract
13:30 — 15:00 Lunch in the Hotel Kamennoostrovskaya
Joint session of the PCA2024 and
Seminar on Representation Theory and Dynamical Systems
The link for Zoom of PCA is in your personal account
15:00 — 15:30 Gleb Nenashev (St. Petersburg State University)
Murnaghan–Nakayama rule for complete flag variety
slides video abstract
15:30 — 16:00 Martin Bures (Joint Institute for Nuclear Research)
Quantum algorithms for particle track reconstruction
slides video abstract
16:00 — 16:20 Sergey Khryashchev (St. Petersburg State Electrotechnical University)
On Multicomponent Continued Fraction Expansions of Hypernumbers of Certain Classes
slides video abstract
16:20 — 16:45 Coffee break
16:45 — 17:15 Wang Shiwei, Mikhail Malykh, Yu Ying (Peoples' Friendship University of Russia)
A set of tools developed based on the Calogero system for testing numerical methods for solving many-body problems
slides video abstract
17:15 — 17:35 Fedor Petrov (St Petersburg University, St Petersburg Department of Steklov Institute RAS)
Polynomial method for point configurations
video abstract
17:35 — 18:05 Andrei Malyutin (St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences)
The rotation number integer quantization effect in groups acting on the circle
video abstract

April 18

Euler Institute, Pesochnaya nab. 10
The link to the Zoom channel of PCA is in your personal account
10:00 — 10:55 Senya Shlosman (Skotech)
Pedestals: Polynomial matrices with polynomial eigenvalues.
slides video abstract
11:00 — 11:30 Alexander Bruno, Alexander Batkhin (Keldysh Institute of Applied Mathematics of RAS)
New cases of integrability of the Euler-Poisson system
slides video abstract
11:30 — 11:50 Cofee break
11:50 — 12:20 Farid Mikhailov (Saint Petersburg Electrotechnical University "LETI")
Computing of tropical sequences associated with Somos sequences in Gfan package
slides video abstract
12:20 — 12:50 Nikolai Krivulin (Saint Petersburg State University)
Solution of Tropical Best Approximation Problems
slides video abstract
13:30 — 14:45 Lunch
15:00 — 18:30 Bus Excursion and visit to the islands of Saint Petersburg and Elagin Palace.
18:00 — 23:00 Conference dinner at the restaurant "Obed banket" , str. Kantemirovskaya, 7

April 19

Euler Institute, Pesochnaya nab. 10
The link to the Zoom channel of PCA is in your personal account
10:00 — 10:40 Gleb Koshevoy, Denis Mironov (Moscow Center For Continuous Mathematical Education)
On coefficients of Berenstein-Kazhdan decoration functions for classical groups
slides video abstract
10:40 — 11:10 Gaiane Panina (St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, SPbGU)
Combinatorial Ky Fan theorem for sphere bundles
slides video abstract
11:10 — 11:30 Coffee break
11:30 — 12:00 Anton Mamonov (Patrice Lumumba Peoples' Friendship University of Russia;Moscow State Psychology-Pedagogy University)
The software GInv for calculating involutive bases of polynomial ideals
slides video abstract
12:00 — 12:30 Ksaverii Malyshev (Skobeltsyn Institute of Nuclear Physics; Peoples' Friendship University of Russia)
Divergent Fourier Series and Summation in Finite Terms Using the Krylov Method in CAS
slides video abstract
12:30 — 13:00 Ioannis Parasidis (Department of Environmental Sciences, University of Thessaly)
Nonlocal problem for System of first order linear Integro-Differential equations
slides video abstract
13:00 — 15:00 Lunch in the Hotel Kamennoostrovskaya
15:00 — 15:30 Sergei Soloviev (Université Toulouse 3 Paul Sabatier, IRIT (Institut de Recherche en Informatique de Toulouse))
Paradoxes of Game Semantics
slides video abstract
15:30 — 15:45 Keston Bhola (St. George's University, School of Arts and Sciences)
Teaching Fractals with Technology: Examples
slides video abstract
15:45 — 16:00 Dishon Edwards (St. George's University)
Teaching Statistics with Technology
slides video abstract
16:00 — 16:20 Coffee break
16:20 — 16:50 Nikolay Vasilyev (St.Petersburg Department of Steklov Mathematical Institute)
A new proof of Maclagan's theorem
video abstract
16:50 — 17:20 Dimitar Mladenov, Arsen Khvedelidze, Astghik Torosyan (Joint Institute for Nuclear Research )
On the parameterizations of the special unitary group SU(4) and related double cosets
slides video abstract
17:20 — 17:50 Vladimir Turaev (Indiana University)
Basics of topological data analysis
slides video abstract
18:00 — 19:30 Free round-table discussion, Closing the conference. Farewell party and coffee break

History

Publications

Conference publications