Persons: Spiridonov, Vyacheslav Pavlovich

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Spiridonov, Vyacheslav Pavlovich

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:

V. P. Spiridonov, “Essays on the theory of elliptic hypergeometric functions”, Russian Math. Surveys, 63:3 (2008), 405–472
V. P. Spiridonov and G. S. Vartanov, “Elliptic hypergeometry of supersymmetric dualities”, Commun. Math. Phys., 304 (2011), 797-874
V. P. Spiridonov, “Theta hypergeometric integrals”, St. Petersburg Math. J., 15:6 (2004), 929–967
V.P. Spiridonov, “On the elliptic beta function”, Russian Math. Surveys, 56:1 (2001), 185–186
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

https://www.mathnet.ru/eng/person9040

List of publications on Google Scholar

https://zbmath.org/authors/ai:spiridonov.vyacheslav-p

	Publications in Math-Net.Ru	Citations
	2023
1.	D. I. Krotkov, V. P. Spiridonov, “Infinite elliptic hypergeometric series: convergence and difference equations”, Mat. Sb., 214:12 (2023), 106–134 ; Sb. Math., 214:12 (2023), 1751–1778
	2022
2.	S. E. Derkachov, G. A. Sarkissian, V. P. Spiridonov, “Elliptic hypergeometric function and $6j$-symbols for the $SL(2,\pmb{\mathbb C})$ group”, TMF, 213:1 (2022), 108–128 ; Theoret. and Math. Phys., 213:1 (2022), 1406–1422	3
3.	V. P. Spiridonov, “Superpositions of coherent states determined by Gauss sums”, TMF, 212:3 (2022), 403–413 ; Theoret. and Math. Phys., 212:3 (2022), 1237–1245	1
	2021
4.	G. A. Sarkissian, V. P. Spiridonov, “Rational hypergeometric identities”, Funktsional. Anal. i Prilozhen., 55:3 (2021), 91–97 ; Funct. Anal. Appl., 55:3 (2021), 250–255	5
	2020
5.	G. A. Sarkissian, V. P. Spiridonov, “The modular group and a hyperbolic beta integral”, Uspekhi Mat. Nauk, 75:3(453) (2020), 187–188 ; Russian Math. Surveys, 75:3 (2020), 575–577	2
6.	Gor A. Sarkissian, Vyacheslav P. Spiridonov, “The Endless Beta Integrals”, SIGMA, 16 (2020), 074, 21 pp.	7
7.	Gor A. Sarkissian, Vyacheslav P. Spiridonov, “General Modular Quantum Dilogarithm and Beta Integrals”, Trudy Mat. Inst. Steklova, 309 (2020), 269–289 ; Proc. Steklov Inst. Math., 309 (2020), 251–270	5
	2019
8.	S. È. Derkachev, V. P. Spiridonov, “The $6j$-symbols for the $SL(2,\mathbb C)$ group”, TMF, 198:1 (2019), 32–53 ; Theoret. and Math. Phys., 198:1 (2019), 29–47	16
	2018
9.	Kamil Yu. Magadov, Vyacheslav P. Spiridonov, “Matrix Bailey Lemma and the Star-Triangle Relation”, SIGMA, 14 (2018), 121, 13 pp.
	2016
10.	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.	8
	2015
11.	S. È. Derkachev, V. P. Spiridonov, “Finite-dimensional representations of the elliptic modular double”, TMF, 183:2 (2015), 177–201 ; Theoret. and Math. Phys., 183:2 (2015), 597–618	6
	2013
12.	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 ; Russian Math. Surveys, 68:6 (2013), 1027–1072	28
	2009
13.	E. M. Rains, V. P. Spiridonov, “Determinants of Elliptic Hypergeometric Integrals”, Funktsional. Anal. i Prilozhen., 43:4 (2009), 67–86 ; Funct. Anal. Appl., 43:4 (2009), 297–311	10
	2008
14.	V. P. Spiridonov, “Continuous biorthogonality of the elliptic hypergeometric function”, Algebra i Analiz, 20:5 (2008), 155–185 ; St. Petersburg Math. J., 20:5 (2009), 791–812	18
15.	V. P. Spiridonov, “Essays on the theory of elliptic hypergeometric functions”, Uspekhi Mat. Nauk, 63:3(381) (2008), 3–72 ; Russian Math. Surveys, 63:3 (2008), 405–472	101
	2007
16.	Igor M. Loutsenko, Vyacheslav P. Spiridonov, “A Critical Phenomenon in Solitonic Ising Chains”, SIGMA, 3 (2007), 059, 11 pp.	4
17.	F. Peherstorfer, V. P. Spiridonov, A. S. Zhedanov, “Toda chain, Stieltjes function, and orthogonal polynomials”, TMF, 151:1 (2007), 81–108 ; Theoret. and Math. Phys., 151:1 (2007), 505–528	23
18.	V. P. Spiridonov, “Elliptic hypergeometric functions and Calogero–Sutherland-type models”, TMF, 150:2 (2007), 311–324 ; Theoret. and Math. Phys., 150:2 (2007), 266–277	24
	2004
19.	V. P. Spiridonov, “A Bailey Tree for Integrals”, TMF, 139:1 (2004), 104–111 ; Theoret. and Math. Phys., 139:1 (2004), 536–541	40
	2003
20.	V. P. Spiridonov, “Theta hypergeometric integrals”, Algebra i Analiz, 15:6 (2003), 161–215 ; St. Petersburg Math. J., 15:6 (2004), 929–967	99
21.	V. P. Spiridonov, “Modularity and Total Ellipticity of Some Multiple Series of Hypergeometric Type”, TMF, 135:3 (2003), 462–477 ; Theoret. and Math. Phys., 135:3 (2003), 836–848	4
	2001
22.	V. P. Spiridonov, “On the elliptic beta function”, Uspekhi Mat. Nauk, 56:1(337) (2001), 181–182 ; Russian Math. Surveys, 56:1 (2001), 185–186	122
	1999
23.	A. S. Zhedanov, V. P. Spiridonov, “Hypergeometric biorthogonal rational functions”, Uspekhi Mat. Nauk, 54:2(326) (1999), 173–174 ; Russian Math. Surveys, 54:2 (1999), 461–463	3
	1989
24.	V. P. Spiridonov, “Analysis of extended Slavnov–Taylor identities in the $\alpha$ gauge”, TMF, 79:3 (1989), 378–386 ; Theoret. and Math. Phys., 79:2 (1989), 600–606	1

	2018
25.	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 ; Theoret. and Math. Phys., 194:3 (2018), 329–330

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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