Program of PCA2023 Conference
The PDF file with the program can be downloaded from https://pca-pdmi.ru/2023/Program_PCA2023.pdfYou can download the book of abstracts from pca2023_book.pdf
Video recordings of all the talks are available in the Youtube playlist
April 17
| 10:00 — 10:30 | Registration, coffee | |||
| Euler Institute, Pesochnaya nab. 10 The direct link to the Zoom channel of PCA2023 is in your personal account |
||||
| 10:30 — 11:00 |
Mikhail Malykh (Peoples' Friendship University of Russia) Reversible difference schemes for classical nonlinear oscillators
| |||
| 11:00 — 11:30 |
Alexandr Seliverstov (Institute for Information Transmission Problems of the Russian Academy of Sciences) Notes on Obstacles to Dimensionality Reduction
| |||
| 11:30 — 12:00 | Coffee break | |||
| 12:00 — 12:30 |
Yuri Blinkov, Mikhail Malykh (Saratov State University) First differential approximation for ODE systems with parameters
| |||
| 12:30 — 13:00 |
Denis Yanovich (Joint Institute for Nuclear Research) Summing-up Involutive Bases Computations Experience
| |||
| 13:00 — 15:00 | Lunch in the Hotel Kamennoostrovskaya | |||
| 15:00 — 15:40 |
Vladimir Kornyak (Joint Institute for Nuclear Research, LIT) Constructive Versions of Quantum Mechanics
| |||
| 15:40 — 16:10 |
Nikolai Krivulin (Saint Petersburg State University) An algorithm for solving two-sided linear vector equations in tropical algebra
| |||
| 16:10 — 16:40 | Coffee break | |||
| 16:40 — 17:10 |
Gaiane Panina (St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, SPbGU) Envy-free division in the presence of a dragon
| |||
| 17:10 — 17:40 |
Sergey Gutnik (Moscow State Institute of International Relations (MGIMO University)) Investigation of the Stationary Motions of the System of Two Connected Bodies Moving along a Circular Orbit Using Polynomial Algebra Methods
| |||
| 17:40 — 18:20 |
Elina Shishkina, Oleg Marichev (Voronezh State University, Wolfram Research) Fractional order differentiation of Meijer G-functions and their cases
| |||
| Welcome party |
April 18
| Euler Institute, Pesochnaya nab. 10 The direct link to the Zoom channel of PCA2022 is in your personal account |
||||
| 10:00 — 10:45 |
Yuri Matiyasevich (St.Petersburg Department of Steklov Institute of Mathematics) Approximation of the zeros of the Riemann zeta function by rational functions
| |||
| 10:45 — 11:15 |
Fedor Petrov (St Petersburg University, St Petersburg Department of Steklov Institute of Mathematics) Real stability of spanning tree enumerator
| |||
| 11:15 — 11:40 | Coffee break | |||
| 11:40 — 12:10 |
Tony Shaska (Research Institute of Science and Technology) Machine learning and moduli spaces
| |||
| 12:10 — 12:40 |
Nikolai Proskurin (St. Petersburg Department of Steklov Institute of Mathematics) Some observations on degree 3 and 4 exponential sums over finite fields
| |||
| 12:40 — 13:10 |
Ksaverii Malyshev, Mikhail Malykh ( Skobeltsyn Institute of Nuclear Physics, Peoples' Friendship University of Russia ) Implementation of A.N. Krylov series convergence acceleration in the CAS Sage
| |||
| 13:10 — 15:00 | Lunch in the Hotel Kamennoostrovskaya | |||
| 15:00 — 15:30 |
A.A.Gusev, G.Chuluunbaatar, O.Chuluunbaatar, S.I.Vinitsky (Joint Institute for Nuclear Research) Construction and application of fully symmetric quadrature rules on the simplexes
| |||
| 15:30 — 16:00 |
Vladimir Titov (Saint Petersburg State University) Levi-Civita reduction in three body problem
| |||
| 16:00 — 16:30 |
Victor Edneral, Alexander Aranson (Lomonosov Moscow State University (SINP MSU)) On the integrability of the resonant case of the generalized Lotka–Volterra system
| |||
| 16:30 — 17:00 | Coffee break | |||
| 17:00 — 17:30 |
Alexey Rosaev (Yaroslavl State University) The phase portrait of the pendulum model of resonance in (a, λ) coordinates
| |||
| 17:30 — 18:00 |
Alexander Aranson (Institute of Long-Range Radio Communication) Painleve Test and Integrability of Polynomial ODEs
| |||
| 18:00 — 18:30 |
Eugene Zima (Wilfrid Laurier University, Waterloo, CANADA) Accelerating modular arithmetic with special choice of moduli
|
April 19
| Joint session of the PCA2023 and Seminar on Representation Theory and Dynamical Systems The link for Zoom of PCA2023 is in your personal account |
||||
| 10:00 — 10:30 |
Boris Kazarnovskii (Institute for Information Transmission Problems) How many roots of a random polynomial system on a compact Lie group are real?
| |||
| 10:30 — 10:55 |
Vladislav Shubin, Nikita Gogin (Petrozavodsk State University) Bernstein Polynomials and MacWilliams Transform
| |||
| 11:00 — 11:30 | Coffee break | |||
| 11:30 — 12:00 |
Alexander Tiskin, Nikita Gaevoy (St Petersburg State University) Doubly-periodic string comparison
| |||
| 12:00 — 12:30 |
Astghik Torosyan, Arsen Khvedelidze (Joint Institute for Nuclear Research) Describing classicality of states of a finite-dimensional quantum system via Wigner function positivity
| |||
| 12:30 — 13:00 |
Chenqi Mou (Beihang University) Sparse Triangular Decomposition Based on Chordal Graphs
| |||
| 13:00 — 15:00 | Lunch in the Hotel Kamennoostrovskaya | |||
| 15:00 — 15:50 |
Anatoly Vershik (St.Petersburg Department of Steklov Institute of Mathematics) Scaled entropy and dynamics of metrics; recent achievements
| |||
| 16:00 — 16:30 |
Alexander Chistov (St. Petersburg Depatment of Steklov Mathematical Institute of the Academy of Sciences of Russia) Effective algorithm for factoring polynomials in the ring of multivariable formal power series in zero--characteristic
| |||
| 16:30 — 17:00 | Coffee break | |||
| 17:00 — 17:30 |
Alexander Bruno, Alijon Azimov (Keldysh Institute of Applied Mathematics of RAS) Computing unimodular matrices of power transformations
| |||
| 17:30 — 18:00 |
Gleb Koshevoy, Denis Mironov (Institute for Information Transmission Problems) F-polynomials and Newton polytopes
| |||
| 18:00 — 18:30 |
Alexander Sakharov (Synstretch) A Normal Form of Derivations for Quantifier-Free Sequent Calculi With Nonlogical Axioms
|
April 20
| Euler Institute, Pesochnaya nab. 10 The direct link to the Zoom channel of PCA2023 is in your personal account There are changes in the schedule of the session |
||||
| 10:00 — 10:50 |
Alexander Bruno, Alijon Azimov (Keldysh Institute of Applied Mathematics of RAS) Parametric expansions of an algebraic variety near its singularities
| |||
| 10:50 — 11:20 | Cofee break | |||
| There are changes in the schedule. Instead of the previously announced talk by Semyon Altaj "Algebraic methods in Theoretical Mechanics", a talk by Mark Alekseev "On the topology and singularity theory of functions on two-dimensional sphere"will be held |
||||
| 11:20 — 11:50 |
Mark Alekseev (Higher School of Economics, Faculty of Mathematics ) On the topology and singularity theory of functions on two-dimensional sphere
| |||
| 11:50 — 12:20 |
Timur Sadykov (Plekhanov Russian University of Economics) Computing the Complement to the Amoeba of a Multivariate Polynomial
| |||
| 12:20 — 12:45 |
Egor Smirnov-Maltsev (Peoples' Friendship University of Russia) On a property of Young diagrams of maximum dimensions
| |||
| 12:45 — 14:45 | Lunch in the Hotel Kamennoostrovskaya | |||
| 14:45 — 18:30 | Bus Excursion and visit to the islands of Saint Petersburg and Peter and Paul Cathedral. The bus will start from the Vyazemsky pereulok at 15:00 | |||
| 19:00 — 23:00 | Conference dinner at the restaurant "Qwakker" ( str. Academika Pavlova 7 ) |
April 21
| Euler Institute, Pesochnaya nab. 10 The direct link to the Zoom channel of PCA2023 is in your personal account |
||||
| 10:00 — 10:50 |
Alexander Batkhin, Alexander Bruno (Keldysh Institute of Applied Mathematics of RAS) Asymptotic forms of solutions to systems of nonlinear PDE
| |||
| 10:50 — 11:20 | Coffee break | |||
| 11:20 — 12:00 |
Nikolai Vavilov, Boris Kunyavskii, Andrei Lavrenov, Eugene Plotkin (St Petersburg State University) Bounded generation of Chevalley groups and Steinberg groups
| |||
| 12:00 — 12:30 |
Mikhail Babich (St. Petersburg Department of Steklov Mathematical Institute) On Jordan structure of nilpotent $so(N,C)$-matrices.
| |||
| 12:30 — 13:00 |
Vasilii Duzhin, Artem Kuzmin, Nikolay Vassiliev (Saint Petersburg Electrotechnical University "LETI") Modeling of bumping routes in the RSK algorithm
| |||
| 13:00 — 15:00 | Lunch in the Hotel Kamennoostrovskaya | |||
| 15:00 — 15:30 |
Soloviev Sergei (Université de Toulouse 3, Institut de Recherche en Informatique de Toulouse) TouIST, a Pedagogical Tool for Logic, Algebra, and Discrete Mathematics
| |||
| 15:30 — 16:00 |
Andrei Malyutin (St.Petersburg Department of Steklov Institute of Mathematics) The (discrete) Heisenberg group and (restricted) Young's lattices
| |||
| 16:00 — 16:20 | Coffee break | |||
| 16:20 — 16:35 |
Alexander Yurkov, Nikolai Vavilov, Vladimir Khalin, (Saint Petersburg State University) Mathematics for non-mathematicians: memories of the future
| |||
| 16:35 — 16:50 |
Aleksandr Kotochigov (Saint Petersburg Electrotechnical University "LETI") Algorithm for constructing a vector continued fraction
| |||
| 16:50 — 17:20 |
Victoria Kazakevich, Sergey Kolonitskii, ElenaTolkacheva (Saint-Petersburg Electrotechnical University "LETI") Integration of tropical mathematics into software engineers' curriculum
| |||
| 17:20 — 17:50 |
Tatiana Myllari, Aleksandr Myllari (St. George's University) Maxima in teaching basic matrix algebra
| |||
| 18:00 — 19:30 | Free round-table discussion, Closing the conference. Farewell party and coffee break |
