Program
You can download the book of extended abstracts here pca2020_book.pdf
October 12
10:30 — 13:30 Zoom session (channel: 540 858 0783) The direct link to the zoom channel of PCA2020 is in your personal account |
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10:30 — 11:30 |
Michela Ceria, Teo Mora, Massimiliano Sala Groebner bases and error correcting codes: from Cooper Philosophy to Degrobnerization
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11:30 — 12:00 |
Denis Yanovich Parallel Computation of Involutive and Groebner Bases Using the Tableau Representation of Polynomials
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12:00 — 12:30 | 30 min break for coffee | |||
12:30 — 13:05 |
Gennadi Malaschonok, Ihor Tchaikovsky On the calculation of a generalized inverse matrix in a domain |
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13:05 — 13:30 |
Mikhail R. Starchak Integer divisibility on Q, quantifier elimination and one Weispfenning’s remark
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13:30 — 15:00 | Lunch | |||
15:00 — 18:00 Euler Institute, Pesochnaya nab. 10 link to video stream: https://youtu.be/ZhezcbSy8oM you can also join to the session using PCA2020 Zoom channel |
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15:00 — 15:50 |
Gerdt Vladimir, Daniel Robertz, Blinkov Yury Computer algebra based discretizations of incompressible Navier-Stokes equations |
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15:50 — 16:40 |
Vladimir Kornyak Emergence of geometry in quantum mechanics based on finite groups
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16:40 — 17:00 | Coffee break | |||
17:00 — 18:00 |
Alexander Bruno The newest methods of celestial mechanics
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October 13
10:00 — 13:30 Euler Institute, Pesochnaya nab. 10 link to video stream: https://youtu.be/Zo4LWS01wtc you can also join to the session using PCA2020 Zoom channel |
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10:00 — 10:30 |
Ekaterina Kotkova, Vladimir Gerdt Teleportation of the Bell states on IBM Q 5 Yorktown quantum computer
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10:30 — 11:00 |
Gusev Alexander, Chuluunbaatar Galmandakh, Gerdt Vladimir, Vinitsky Sergue, Lyong Le Hai Hermitian Finite Elements for Hypercube
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11:00 — 11:30 |
Gerdt Vladimir, Blinkov Yury Compact Monomial Involutive Bases
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11:30 — 11:50 | Coffee break | |||
11:50 — 12:20 |
Alexander Batkhin On invariant coordinate subspaces of normal form of an ODE system
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12:20 — 12:50 |
Alexandr Seliverstov An Effectively Computable Projective Invariant
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12:50 — 13:15 |
Victor Edneral Study of Liénard's Equation by the Normal Form Method
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13:30 — 15:00 | Lunch | |||
15:00 — 18:00 Zoom session (channel: 540 858 0783) The direct link to the zoom channel of PCA2020 is in your personal account |
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15:00 — 15:50 |
Akhmadjon Soleev Power geometry in solving system of polynomial equations
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15:50 — 16:20 |
Victor Pan Nearly Optimal Univariate Polynomial Root-finding: Old and New Algorithms
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16:20 — 16:30 | 10 min break for coffee | |||
16:30 — 17:00 |
Alexander Tiskin Continuous sticky braids |
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17:00 — 17:30 |
Stephen Watt Orthogonal Polynomial Families in Typescript |
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17:30 — 18:00 |
Fedor Petrov Polynomial coefficients as traces and applications to graph colorings
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October 14
Euler Institute, Pesochnaya nab. 10 link to video stream: https://youtu.be/27Ieamdh0EU you can also join to the session using PCA2020 Zoom channel |
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10:30 — 11:00 |
Nikolai Proskurin Some problems on character sums in finite fields
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11:00 — 11:25 |
Sergei Pozdniakov, Elena Tolkacheva The interaction of algorithms and proofs in the discrete mathematics course for future engineers
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11:25 — 11:50 |
Maria Fedorkina, Alexander Tiskin Implementation of algebraic algorithms for approximate pattern matching on compressed strings
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11:45 — 12:05 | Coffee break | |||
12:05 — 12:30 |
Ivan Panin A theorem on quadratic forms
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12:30 — 13:00 |
Alexander Chistov Subexponential--time computation of isolated primary components of a polynomial ideal
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13:00 — 13:30 |
Gaiane Panina Fair and envy-free necklace splittings
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13:30 — 15:00 | Lunch | |||
Joint session of the PCA2020 and St. Petersburg Seminar on Representation Theory and Dynamical Systems The direct link to the zoom channel of PCA2020 is in your personal account |
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15:00 — 16:00 |
Anatoly Vershik Numerations of the partially ordered sets and generalized Coxeter groups.
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16:00 — 16:40 |
Michela Ceria Bar Code and involutiveness: Janet and Janet-like divisions
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16:40 — 16:50 | 10 min break for coffee | |||
16:50 — 17:30 |
Boris Kazarnovskii Average number of solutions and mixed symplectic volume
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17:30 — 18:00 |
Andrei Malyutin Growth in groups and the number of curves and knots
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October 15
Euler Institute, Pesochnaya nab. 10, Zoom session (channel: 540 858 0783) The direct link to the zoom channel of PCA2020 is in your personal account |
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You can also visit General Mathematics Seminar of Steklov Mathematical Institute 14.00; zoom ID 869-9646-9822, password: house number of the institute Speaker: A. V. Malyutin, Title: Hyperbolic knots are not generic. |
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11:00 — 11:30 |
Soloviev Sergei On Natural Transformations in Compact Closed Categories with Generating Unit
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11:30 — 12:00 |
Aleksandr Myllari, Tatiana Myllari, Anna Myullyari, Nikolay Vassiliev Numerical Symbolic Dynamics and Complexity of Individual Trajectories
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12:00 — 12:20 | 20 min coffee break | |||
12:20 — 12:45 |
Martin Bures Averaged indicator of classicality/quantumnessin quasiprobability representations of finite-dimensional quantum systems
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12:45 — 13:10 |
Petrov Alexander Covariance of Parametric Representations of Orthogonal and Symplectic Matrices
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13:00 — 15:00 | Lunch | |||
15:00 -- 18:00 Euler Institute, Pesochnaya nab. 10 link to video stream: https://youtu.be/KySvQtdnCmc you can also join to the session using PCA2020 Zoom channel |
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15:00 — 15:25 |
Vahagn Abgaryan, Arsen Khvedelidze, Ilya Rogojin, Astghik Torosyan On the separability probability of lower rank qubit-qubit systems
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15:25 — 15:50 |
Astghik Torosyan, Vahagn Abgaryan, Arsen Khvedelidze, Ilya Rogojin, On probability distributions for the boundary states of the Hilbert-Schmidt ensemble of qudits
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15:50 — 16:05 | Coffee break | |||
16:05 — 16:30 |
Mikhail Malykh, Ali Baddour, Leonid Sevastianov, Yu Ying Dynamic systems with quadratic integrals
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16:30 — 16:55 |
Oleg Kroytor, Oleg Bikeev, Mikhail Malykh Surface electromagnetic waves
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16:55 — 17:20 |
Anton Chukhnov, Sergei Pozdniakov Work distribution between the student and the computer while solving graph tasks in distant contests.
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17:25 — 17:50 |
Semjon Adlaj Rigid body motion symmetries
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18:30 — 21:30 | Conference dinner at the restaurant "Puerto" (nab. Karpovki 30) |
October 16
Euler Institute, Pesochnaya nab. 10, Zoom session (channel: 540 858 0783) The direct link to the zoom channel of PCA2020 is in your personal account |
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11:00 — 12:00 |
Nikolai Vavilov Waring problem as an issue of polynomial computer algebra
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12:00 — 12:30 |
Mika Hirvensalo, Nikita Gogin On the Moments of Squared Binomial Coefficients
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12:30 — 12:45 | 15 min break for coffee | |||
12:45 — 13:15 |
Cristina Bertone The close relation between border and Pommaret marked bases
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13:15 — 13:40 |
Mikhail Babich On extensions of canonical symplectic structure from coadjoint orbit of complex general linear group.
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13:40 — 14:10 | Dima Grigoriev, Vladimir Gerdt, Ernst Mayr, Michail Babich, Aleksandr Myllary, Nikolay Vassiliev,.. To the memory of Andreas Weber and Sergei Slavyanov |
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14:00 — 15:30 | Lunch | |||
18:30 — 20:00 | Chamber music concert in Zoom format. Zoom channel: 540 858 0783) |
October 17
11:00 — 12:30 | Buisness meeting and round table free discussion |