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Spiridonov, Vyacheslav Pavlovich

Statistics Math-Net.Ru
Total publications: 22
Scientific articles: 21
Presentations: 29

Number of views:
This page:3726
Abstract pages:7901
Full texts:2536
References:742
Doctor of physico-mathematical sciences (2005)
Speciality: 01.01.03 (Mathematical physics)
Keywords: special functions, mathematical physics, superconformal indices, theory of solitons.
UDC: 517.962, 517.52, 517.58, 530.145, 517.5, 517.3
MSC: 33Cxx, 33Dxx, 33Exx, 42C05, 39A13, 81R50

Subject:

General theory of elliptic hypergeometric functions. Exactly computable integrals, in particular, elliptic beta integrals. Classical and quantum integrable systems. Superconformal indices and Seiberg duality. Self-similar potentials in quantum mechanics.

Biography

Ph.D. thesis was defended in 1988. The author of more than 150 scientific publications.

   
Main publications:
  1. V. P. Spiridonov, “Essays on the theory of elliptic hypergeometric functions”, Russian Math. Surveys, 63:3 (2008), 405–472  crossref  mathscinet  zmath  adsnasa
  2. V. P. Spiridonov and G. S. Vartanov, “Elliptic hypergeometry of supersymmetric dualities”, Commun. Math. Phys., 304 (2011), 797-874
  3. V. P. Spiridonov, “Theta hypergeometric integrals”, St. Petersburg Math. J., 15:6 (2004), 929–967
  4. V.P. Spiridonov, “On the elliptic beta function”, Russian Math. Surveys, 56:1 (2001), 185–186  mathnet  mathscinet  zmath
  5. S. E. Derkachov and V. P. Spiridonov, “Yang-Baxter equation, parameter permutations, and the elliptic beta integral”, Russian Math. Surveys, 68:6 (2013), 1027–1072

http://www.mathnet.ru/eng/person9040
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:spiridonov.vyacheslav-p

Publications in Math-Net.Ru
2021
1. G. A. Sarkissian, V. P. Spiridonov, “Rational hypergeometric identities”, Funktsional. Anal. i Prilozhen., 55:3 (2021),  91–97  mathnet
2020
2. G. A. Sarkissian, V. P. Spiridonov, “The modular group and a hyperbolic beta integral”, Uspekhi Mat. Nauk, 75:3(453) (2020),  187–188  mathnet  mathscinet  elib; Russian Math. Surveys, 75:3 (2020), 575–577  isi  scopus
3. Gor A. Sarkissian, Vyacheslav P. Spiridonov, “The Endless Beta Integrals”, SIGMA, 16 (2020), 074, 21 pp.  mathnet  isi  scopus
4. Gor A. Sarkissian, Vyacheslav P. Spiridonov, “General Modular Quantum Dilogarithm and Beta Integrals”, Trudy Mat. Inst. Steklova, 309 (2020),  269–289  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 309 (2020), 251–270  isi  scopus
2019
5. S. È. Derkachev, V. P. Spiridonov, “The $6j$-symbols for the $SL(2,\mathbb C)$ group”, TMF, 198:1 (2019),  32–53  mathnet  mathscinet  elib; Theoret. and Math. Phys., 198:1 (2019), 29–47  isi  scopus
2018
6. Kamil Yu. Magadov, Vyacheslav P. Spiridonov, “Matrix Bailey Lemma and the Star-Triangle Relation”, SIGMA, 14 (2018), 121, 13 pp.  mathnet  isi  scopus
2016
7. Dmitry Chicherin, Sergey E. Derkachov, Vyacheslav P. Spiridonov, “From Principal Series to Finite-Dimensional Solutions of the Yang–Baxter Equation”, SIGMA, 12 (2016), 028, 34 pp.  mathnet  isi  scopus
2015
8. S. È. Derkachev, V. P. Spiridonov, “Finite-dimensional representations of the elliptic modular double”, TMF, 183:2 (2015),  177–201  mathnet  mathscinet  elib; Theoret. and Math. Phys., 183:2 (2015), 597–618  isi  scopus
2013
9. S. È. Derkachev, V. P. Spiridonov, “Yang–Baxter equation, parameter permutations, and the elliptic beta integral”, Uspekhi Mat. Nauk, 68:6(414) (2013),  59–106  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 68:6 (2013), 1027–1072  isi  elib  scopus
2009
10. E. M. Rains, V. P. Spiridonov, “Determinants of Elliptic Hypergeometric Integrals”, Funktsional. Anal. i Prilozhen., 43:4 (2009),  67–86  mathnet  mathscinet  zmath; Funct. Anal. Appl., 43:4 (2009), 297–311  isi
2008
11. V. P. Spiridonov, “Continuous biorthogonality of the elliptic hypergeometric function”, Algebra i Analiz, 20:5 (2008),  155–185  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 20:5 (2009), 791–812  isi
12. V. P. Spiridonov, “Essays on the theory of elliptic hypergeometric functions”, Uspekhi Mat. Nauk, 63:3(381) (2008),  3–72  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 63:3 (2008), 405–472  isi  elib  scopus
2007
13. Igor M. Loutsenko, Vyacheslav P. Spiridonov, “A Critical Phenomenon in Solitonic Ising Chains”, SIGMA, 3 (2007), 059, 11 pp.  mathnet  mathscinet  zmath  isi  scopus
14. F. Peherstorfer, V. P. Spiridonov, A. S. Zhedanov, “Toda chain, Stieltjes function, and orthogonal polynomials”, TMF, 151:1 (2007),  81–108  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 151:1 (2007), 505–528  isi  elib  scopus
15. V. P. Spiridonov, “Elliptic hypergeometric functions and Calogero–Sutherland-type models”, TMF, 150:2 (2007),  311–324  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 150:2 (2007), 266–277  isi  elib  scopus
2004
16. V. P. Spiridonov, “A Bailey Tree for Integrals”, TMF, 139:1 (2004),  104–111  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 139:1 (2004), 536–541  isi
2003
17. V. P. Spiridonov, “Theta hypergeometric integrals”, Algebra i Analiz, 15:6 (2003),  161–215  mathnet  mathscinet  zmath; St. Petersburg Math. J., 15:6 (2004), 929–967
18. V. P. Spiridonov, “Modularity and Total Ellipticity of Some Multiple Series of Hypergeometric Type”, TMF, 135:3 (2003),  462–477  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 135:3 (2003), 836–848  isi
2001
19. V. P. Spiridonov, “On the elliptic beta function”, Uspekhi Mat. Nauk, 56:1(337) (2001),  181–182  mathnet  mathscinet  zmath; Russian Math. Surveys, 56:1 (2001), 185–186  isi  scopus
1999
20. A. S. Zhedanov, V. P. Spiridonov, “Hypergeometric biorthogonal rational functions”, Uspekhi Mat. Nauk, 54:2(326) (1999),  173–174  mathnet  mathscinet  zmath; Russian Math. Surveys, 54:2 (1999), 461–463  isi  scopus
1989
21. V. P. Spiridonov, “Analysis of extended Slavnov–Taylor identities in the $\alpha$ gauge”, TMF, 79:3 (1989),  378–386  mathnet; Theoret. and Math. Phys., 79:2 (1989), 600–606  isi

2018
22. V. L. Aksenov, I. G. Brankov, V. A. Zagrebnov, E. A. Ivanov, D. I. Kazakov, S. K. Nechaev, N. M. Plakida, A. M. Povolotskii, V. P. Spiridonov, P. Eksner, “Viacheslav Borisovich Priezzhev (06.09.1944 – 31.12.2017)”, TMF, 194:3 (2018),  383–384  mathnet  mathscinet  elib; Theoret. and Math. Phys., 194:3 (2018), 329–330  isi

Presentations in Math-Net.Ru
1. Degenerations of the elliptic analogue of Euler–Gauss hypergeometric function
V. P. Spiridonov
Complex Approximations, Orthogonal Polynomials and Applications (CAOPA)
October 12, 2020 18:00
2. Elliptic hypergeometric functions (a survey)
V. P. Spiridonov
Complex Approximations, Orthogonal Polynomials and Applications (CAOPA)
September 21, 2020 15:00
3. Integrable systems, automodality and special functions
V. P. Spiridonov
Automorphic forms and their applications
December 10, 2019 18:00   
4. General modular quantum dilogarithm and beta-integrals
V. P. Spiridonov
Automorphic forms and their applications
October 8, 2019 18:00
5. 4d Superconformal indices and 2d statistical mechanics
V. P. Spiridonov
3rd French Russian Conference on Random Geometry and Physics: Sachdev–Ye–Kitaev Model and Related Topics
June 7, 2019 10:30   
6. Rarefied hypergeometric functions and their applications
V. P. Spiridonov
Automorphic forms and their applications
April 17, 2019 17:30
7. Introduction to the theory of elliptic hypergeometric integrals
V. P. Spiridonov
Automorphic forms and their applications
January 29, 2018 17:00   
8. Seiberg duality and superconformal indices
V. P. Spiridonov
Automorphic forms and their applications
December 11, 2017 18:00
9. Эллиптическое гипергеометрическое уравнение
V. P. Spiridonov
Automorphic forms and their applications
July 4, 2017 20:00   
10. From multiple Barnes gamma-functions to elliptic hypergeometry
V. P. Spiridonov
Automorphic forms and their applications
April 18, 2017 19:00
11. Elliptic Hypergeometric Functions in Combinatorics, Integrable Systems and Physics. (review of a conference in ESI (Vienna))
A. B. Kalmynin, V. P. Spiridonov
Automorphic forms and their applications
March 28, 2017 18:00
12. Superconformal indices in 2- and 4-dimensional field theory and elliptic genus
V. P. Spiridonov
Automorphic forms and their applications
January 31, 2017 18:00   
13. Elliptic hypergeometric functions, SL(3,Z) and lens space
V. P. Spiridonov
Automorphic forms and their applications
November 22, 2016 18:00
14. Эллиптические гипергеометрические функции и их приложения
V. P. Spiridonov
Globus Seminar
October 6, 2016 15:40   
15. Superconformal indices and Seiberg dualities
V. P. Spiridonov
Helmholtz – DIAS International Summer School "Cosmology, Strings, New Physics", JINR BLTP Dubna
September 6, 2016   
16. Superconformal indices and integrable systems
V. P. Spiridonov
Workshop on Classical and Quantum Integrable Systems
July 13, 2016
17. Эллиптический бета–интеграл, лемма Бейли и соотношение звезда–треуголъник
V. P. Spiridonov
Workshop on Classical and Quantum Integrable Systems
July 12, 2016
18. The many faces of the elliptic beta integral
V. P. Spiridonov
Seminar on Algebra, Geometry and Physics, Max Planck Institute for Mathematics
January 26, 2016 14:00
19. Special functions from Newton and Euler to the modern time
V. P. Spiridonov
Mathematisches Kolloquium, Faculty of Mathematics, University of Vienna
January 20, 2016 16:15
20. Elliptic Hypergeometric Functions
V. P. Spiridonov
IMPRS Minicourse, Max Planck Institute for Mathematics
January 6–8, 2016
21. Бесконечные произведения, эллиптические гипергеометрические интегралы, топологические индексы
V. P. Spiridonov
Automorphic forms and their applications
October 6, 2015 18:30
22. Эллиптические гипергеометрические функции III
V. P. Spiridonov
Summer mathematical school "Algebra and Geometry", 2015
July 31, 2015 16:30   
23. Эллиптические гипергеометрические функции II
V. P. Spiridonov
Summer mathematical school "Algebra and Geometry", 2015
July 30, 2015 14:30   
24. Эллиптические гипергеометрические функции I
V. P. Spiridonov
Summer mathematical school "Algebra and Geometry", 2015
July 27, 2015 18:15   
25. Эллиптический модулярный дубль
V. P. Spiridonov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
April 1, 2015 14:00
26. Biorthogonal rational functions and elliptic hypergeometric function
V. P. Spiridonov
Seminar on Complex Analysis (Gonchar Seminar)
October 24, 2011 18:00
27. Эллиптические гипергеометрические интегралы
Vyacheslav Spiridonov
Homology and homotopy methods in geometry
October 7, 2009
28. Суперконформные индексы $N=1$ теорий и эллиптические гипергеометрические интегралы
V. P. Spiridonov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
May 13, 2009 14:00
29. Дискретная автомодельность в спектральных задачах и эллиптические гипергеометрические функции
V. P. Spiridonov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
July 1, 2004

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