You can download the book of abstracts from PCA2026_book.pdf

Program of the PCA2026 Conference

May 25

Euler Institute, Pesochnaya nab. 10
The link to the Zoom channel of PCA is in your personal account
09:30 — 10:00 Registration, coffee
10:00 — 10:10 Opening the conference
10:10 — 10:40 Vladimir Kornyak (Joint Institute for Nuclear Research)
From Vector Interactions to Projective Geometry: Quantum Indeterminism over Galois Fields
slides abstract
10:40 — 11:10 Yuri Blinkov (Saratov State University)
PyGInv Package Extension: Polynomial Root-Finding, Symmetry Calculation, and First Differential Approximation for ODEs
slides abstract
11:10 — 11:40 Mikalai Skabelka, Andrei Pranevich (Yanka Kupala State University of Grodno)
Basis of First Integrals for Darboux Differential System with Simple Matrix Structure
abstract
11:40 — 12:05 Coffee break
12:05 — 12:30 Nurlan Abiev (Institute of Mathematics, National Academy of Sciences, Kyrgyzstan)
Using computer algebra tools to solve problems related to the Ricci flow on homogeneous spaces
abstract
12:30 — 13:00 Mikhail Malykh (Patrice Lumumba Peoples' Friendship University of Russia)
Quadratic Cremona transformations in Rosanes notation
slides abstract
13:00 — 13:30 Andrei Pranevich, Volga Bialko (Yanka Kupala State University of Grodno)
Darboux Polynomials and First Integrals of Polynomial Partial Differential Systems
abstract
13:30 — 15:00 Lunch
15:00 — 15:25 Leonid Mihailov, Victor Selivanov (Saint Petersburg university)
Biinterpretability in the Young and Young-Fibonacci lattices
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15:25 — 15:50 Alexander A. Gusev, Oleg O. Kovalev, Ochbadrakh Chuluunbaatar, Sergue I. Vinitsky (Laboratory of Information Technologies Joint Institute for Nuclear Research)
Finite Element Method Schemes on Hyperparallelepiped Meshes
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15:50 — 16:25 Semjon Adlaj (Dorodnicyn Computing Centre of the RAS)
The Galois top motion-invariant: An analytic single-valued motion-invariant shared by the three classical tops of Lagrange, Euler and Hess
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16:25 — 16:50 Coffee break
16:50 — 17:15 Victor Krym, Egor Zagidulin (Saint Petersburg State University)
The Ball-box theorem in sub-Riemannian geometry
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17:15 — 17:45 Daniil Fomichev (Saint Petersburg State University)
Negative answer to Lando's question
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17:45 — 18:15 Seifullin Timur (Glushkov Institute of Cybernetics National Academy of Sciences of Ukraine)
Symmetric polynomials, exterior power of the polynomial ring in one variable
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18:30 — 21:00 Welcome party

May 26

10:00 — 10:30 Victor F. Edneral (Lomonosov Moscow State University)
Program for Reducing Systems of Ordinary Differential Equations to the Normal Form
slides abstract
10:30 — 11:00 Sergey Gutnik (Moscow State Institute of International Relations (MGIMO University))
Stability analysis of the periodic planar oscillations of a two-body system in an elliptic orbit
slides abstract
11:00 — 11:30 Coffee break
11:30 — 12:00 Svetlana Selivanova (Novosibirsk State University)
Bit-complexity of Differential Equations and Application to High-precision Computation of their Solutions
slides abstract
12:00 — 12:30 Alexey Kanel-Belov (Bar-Ilan University)
On the algoritmical unsolvability of algebraic varieties embedding problem
abstract
12:30 — 13:00 Anton Mamonov (Peoples' Friendship University of Russia named after Patrice Lumumba)
Using the Gröbner basis in population modeling: solution, classification, prediction
slides abstract
13:00 — 13:30 Ksaverii Malyshev, Alexandr Seliverstov (Institute for Information Transmission Problems of the Russian Academy of Sciences)
Integer Matrices with a Peculiar Leading Diagonal
slides abstract
13:30 — 15:00 Lunch
15:00 — 15:30 Gleb Koshevoy (Institute for Information Transmission Problems, RAS)
An algorithm for computing i-trails for generalized minors in Bruhat cells
slides abstract
15:30 — 16:00 Alexander Tiskin (St Petersburg University)
String comparison, tropical matrices and the Hecke monoid: Sticking it out together
slides abstract
16:00 — 16:30 Lyubov Lapshenkova, Alina Trusova (RUDN University)
Darboux ideals as a tool to analyse structure-preserving difference schemes
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16:30 — 16:50 Coffee break
16:50 — 17:40 Askold Khovanskii (University of Toronto)
Factorization of linear operators and solvability in finite terms
slides abstract
17:40 — 18:10 Gaiane Panina (St.Petersburg Department of Steklov Institute of Mathematics)
Sections, quasisection and the Euler class
slides abstract
18:10 — 18:30 Ioanna Evtushevskaya-Konovalova (Saint Petersburg State University)
Communication-efficient parallel Bruhat decomposition
slides abstract

May 27

10:00 — 10:30 Nicolai Vorobjov (St.Petersburg Department of Steklov Institute of Mathematics)
Partitioning theorems for families of semi-Pfaffian sets
slides abstract
10:30 — 11:00 Konstantin Yu. Gorbunov, Gleb Grinkevich (Institute for Information Transmission Problems of the Russian Academy of Sciences)
Polynomial Algorithms for Median and Reconstruction Problems on RNA Secondary Structures
slides abstract
11:00 — 11:30 Vladimir Ryabov (Independent researcher)
On the definition of additive characters of vectorial functions over finite fields
slides abstract
11:30 — 11:55 Coffee break
11:55 — 12:20 Alexander Bruno, Alijon Azimov (Keldysh Institute of Applied Mathematics of RAS)
Curves of Singular Points of Two Dimensional Algebraic Variety
slides abstract
12:20 — 12:50 Alexander Batkhin, Alexander Bruno (Keldysh Institute of Applied Mathematics of RAS)
Studying Bifurcations of Periodic Solutions to Hamiltonian System
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12:50 — 13:20 Alexander Batkhin, Amirjon Azimzoda (Keldysh Institute of Applied Mathematics of RAS)
Regular Perturbation of Algebraic Singularities
slides abstract
13:20 — 15:00 Lunch
15:00 — 15:30 Mikhail Babich, Lyudmila Bordag, Arsen Khvedelidze, Dimitar Mladenov (St. Petersburg Department of Steklov Mathematical Institute)
"On mean angular velocity"
slides abstract
15:30 — 16:00 Elizaveta Volchkova, Ksaverii Malyshev (Lomonosov Moscow State University; Patrice Lumumba People's Friendship University of Russia)
On Summation of Fourier Series Over the Roots of Transcendental Equation
slides abstract
16:00 — 16:30 Georgii Khaziev (Institute for Information Transmission Problems (Kharkevich Institute) Russian Academy of Sciences)
DNA compression with respect to palindromes
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16:30 — 16:50 Coffee break
16:50 — 17:30 Eugene Zima (Wilfrid Laurier University)
GCD-free generation of inverses in modular arithmetic
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17:30 — 18:00 Leonid Chilikov, Victor Selivanov (Saint Petersburg State University)
On some $\mathcal{E}^3$-presentable number fields
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18:00 — 18:20 Youssra Miloudi (Department of Mathematics, The Normal Higher School Cheikh Mohamed El Bachir Ibrahimi, Vieux Kouba)
On D(1)-extension of a D(-1)-triple involving Fibonacci numbers with application
abstract
18:30 — 20:00 Музыкальный вечер.
Вокальный дуэт Екатерина и Алена Парийские.

May 28

09:30 — 10:00 Ekaterina Borodinova (Saint Petersburg State University)
A generalization of Bressoud's beautiful bijection
slides abstract
10:00 — 10:30 Yuri Matiyasevich (St.Petersburg Department of Steklov Institute of Mathematics)
Some numerical observations on number-theoretical properties of the theta functions of Dirichlet characters
slides abstract
10:30 — 10:55 Nikolai Proskurin (St.Petersburg Department of Steklov Institute of Mathematics)
On off-line zeros of some $L$-functions
slides abstract
10:55 — 11:20 Coffee break
11:20 — 12:00 Ivan Panin (St.Petersburg Department of Steklov Institute of Mathematics)
About Grothendieck–Serre presheaves
abstract
12:00 — 12:30 Stepan Samulevich (St. Petersburg Department of the Steklov Mathematical Institute of the Russian Academy of Sciences)
Symmetric Approximations of the Riemann Zeta Function: Sieve Methods and Theta-Relations for Finite Euler Products
slides abstract
12:30 — 13:00 Alexandr Dorokhin (Saint Petersburg State University)
Quadratic non-residues that are not primitive roots
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13:00 — 13:30 Eric Mortenson (Saint Petersburg State University)
Ramanujan's mock theta functions and admissible-level $A_{1}^{(1)}$-string functions
slides abstract
13:30 — 15:00 Lunch
18:30 — 22:00 Conference dinner

May 29

10:20 — 10:50 Senya Shlosman (Skoltech)
Semistandard Young Tableaux, Plinths and Schutzenberger involution
slides abstract
10:50 — 11:20 Dmitry Dolgov (Kazan Federal University)
On two algorithms for computing GCD of natural numbers
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11:20 — 11:50 Coffee break
11:50 — 12:20 Tony Shaska (Oakland University)
Gröbner Bases, Weighted Resultants, and Applications to Parametrized Varieties
slides abstract
12:20 — 12:50 Pavel Emelyanov (A.P. Ershov Institute of Informatics Systems, Siberian Branch of Russian Academy of Sciences)
Factorization of multilinear polynomials over F2
slides abstract
13:00 — 15:00 Lunch
15:00 — 15:30 Alexander Chistov (St. Petersburg Department of Steklov Mathematical Institute of the Academy of Sciences of Russia)
A method for constructing the Galois group over the field of fraction of a ring of multivariable formal power series with algebraically closed constant field in zero characteristic
abstract
15:30 — 16:00 Yurii Nikonorov (Southern Mathematical Institute of VSC RAS)
Analysis of the Snellius--Pothenot problem
slides abstract
16:00 — 16:30 Vladislav Shubin, Ivan Ushakov (Stockholm University)
MacWilliams Transform with Binomial Weights
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16:30 — 17:00 Coffee break
17:00 — 18:00 Round table discussion "Algebraic Models in Mathematical Logic"

May 30

10:00 — 10:30 Arsen Khvedelidze, Dimitar Mladenov (Sofia University "St. Kliment Ohridski" and INRNE, Bulgarian Academy of Sciences, Sofia, Bulgaria)
Computing differential-geometric structures on the SU(4) group in KAT decomposition
abstract
10:30 — 11:00 Nikolay Vasilyev (St.Petersburg Department of Steklov Institute of Mathematics)
Homogeneous central measures on the graph of three-rows Young diagrams.
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11:00 — 11:30 Fatima Zohra Khelloul (University of Science and Technology Houari Boumediene)
Algorithmic Study of Hull Dimensions in Linear Codes over Finite Fields
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11:30 — 12:00 Fatma zohra Daoud (Departement of mathematics, University of Tiaret)
Irreducible Decomposition of Polynomial Rings via D-Module Direct Images and Combinatorial Differential Structures
abstract
12:00 — 13:00 Closing the conference. After conference party and discussion.

History

Publications

Conference publications