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Gorchinskiy Sergey Olegovich

Statistics Math-Net.Ru
Total publications: 26
Scientific articles: 25
in MathSciNet: 22
in zbMATH: 20
in Web of Science: 22
in Scopus: 20
Cited articles: 21
Citations in Math-Net.Ru: 16
Citations in MathSciNet (2015): 37
Citations in Web of Science: 53
Citations in Scopus: 54
Presentations: 74

Number of views:
This page:4501
Abstract pages:2395
Full texts:332
References:155
Gorchinskiy Sergey Olegovich
Candidate of physico-mathematical sciences (2007)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Birth date: 20.11.1982
E-mail:
Keywords: higher-dimensional adeles, Chow groups, K-theory, motives, differential Galois theory
UDC: 512.666, 511.687, 512.7, 512.71, 512.73, 512.547
MSC: 14C15, 14C35, 14H25, 14H40, 19E08, 19F15

Subject:

Algebraic geometry, arithmetic geometry, higher-dimensional adeles, K-theory, algebraic cycles.

   
Main publications:
  1. H. Gillet, S. Gorchinskiy, A. Ovchinnikov, “Parameterized Picard–Vessiot extensions and Atiyah extensions”, Adv. Math., 238 (2013), 322–411 , arXiv: 1110.3526  crossref  mathscinet  isi  elib  scopus
  2. S. Gorchinskiy, D. Orlov, “Geometric phantom categories”, Publ. Math. Inst. Hautes Études Sci., 117:1 (2013), 329–349 , arXiv: 1209.6183  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
  3. S. Gorchinskiy, V. Guletskii, “Motives and representability of algebraic cycles on threefolds over a field”, J. Algebraic Geom., 21:2 (2012), 347–373 , arXiv: 0806.0173v2  crossref  mathscinet  zmath  isi  elib  scopus
  4. S. O. Gorchinskiy, “An adelic resolution for homology sheaves”, Izv. Math., 72:6 (2008), 1187–1252  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

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Full list of publications:
| by years | by types | scientific publications | common list |



   2016
1. I. V. Beloshapka, S. O. Gorchinskiy, “Irreducible representations of finitely generated nilpotent groups”, Sb. Math., 207:1 (2016), 41–64  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  scopus
2. S. Gorchinskiy, V. Guletskiǐ, “Symmetric powers in abstract homotopy categories”, Adv. Math., 292 (2016), 707–754  mathnet  crossref  mathscinet  zmath  isi  scopus
3. Sergey O. Gorchinskiy, Denis V. Osipov, “Continuous homomorphisms between algebras of iterated Laurent series over a ring”, Proc. Steklov Inst. Math., 294 (2016), 47–66  mathnet  crossref  crossref  isi  elib  scopus
4. S. O. Gorchinskiy, D. V. Osipov, “Higher-dimensional Contou-Carrère symbol and continuous automorphisms”, Funct. Anal. Appl., 50:4 (2016), 268–280  mathnet

   2015
5. Sergey Gorchinskiy, Alexei Rosly, “A polar complex for locally free sheaves”, Int. Math. Res. Not. IMRN, 2015:10 (2015), 2784–2829  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
6. S. O. Gorchinskiy, D. V. Osipov, “Explicit formula for the higher-dimensional Contou-Carrère symbol”, Russian Math. Surveys, 70:1 (2015), 171–173  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 1)  elib (cited: 1)  scopus
7. S. O. Gorchinskiy, D. V. Osipov, “A higher-dimensional Contou-Carrère symbol: local theory”, Sb. Math., 206:9 (2015), 1191–1259  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
8. S. O. Gorchinskiy, D. V. Osipov, “Tangent Space to Milnor $K$-Groups of Rings”, Proc. Steklov Inst. Math., 290:1 (2015), 26–34  mathnet  crossref  crossref  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus

   2014
9. S. Gorchinskiy, A. Ovchinnikov, “Isomonodromic differential equations and differential categories”, J. Math. Pures Appl. (9), 102:1 (2014), 48–78 , arXiv: 1202.0927  crossref  mathscinet (cited: 4)  zmath  isi (cited: 4)  elib (cited: 7)  scopus (cited: 8)

   2013
10. S. Gorchinskiy, V. Guletskii, “Non-trivial elements in the Abel–Jacobi kernels of higher-dimensional varieties”, Adv. Math., 241 (2013), 162–191 , arXiv: 1009.1431  crossref  mathscinet  isi  elib  scopus
11. H. Gillet, S. Gorchinskiy, A. Ovchinnikov, “Parameterized Picard–Vessiot extensions and Atiyah extensions”, Adv. Math., 238 (2013), 322–411 , arXiv: 1110.3526  crossref  mathscinet (cited: 12)  isi (cited: 12)  elib (cited: 14)  scopus (cited: 16)
12. S. Gorchinskiy, D. Orlov, “Geometric phantom categories”, Publ. Math. Inst. Hautes Études Sci., 117:1 (2013), 329–349 , arXiv: 1209.6183  crossref  mathscinet (cited: 6)  zmath  adsnasa  isi (cited: 9)  elib (cited: 7)  scopus (cited: 8)
13. S. O. Gorchinskiy, “Generation of modules and transcendence degree of zero-cycles”, Izv. Math., 77:4 (2013), 696–699  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
14. R. Ya. Budylin, S. O. Gorchinskiy, “Intersections of adelic groups on a surface”, Sb. Math., 204:12 (2013), 1701–1711  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
15. S. V. Vostokov, S. O. Gorchinskiy, A. B. Zheglov, Yu. G. Zarkhin, Yu. V. Nesterenko, D. O. Orlov, D. V. Osipov, V. L. Popov, A. G. Sergeev, I. R. Shafarevich, “Aleksei Nikolaevich Parshin (on his 70th birthday)”, Russian Math. Surveys, 68:1 (2013), 189–197  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib

   2012
16. S. Gorchinskiy, V. Guletskii, “Motives and representability of algebraic cycles on threefolds over a field”, J. Algebraic Geom., 21:2 (2012), 347–373 , arXiv: 0806.0173v2  crossref  mathscinet (cited: 7)  zmath  isi (cited: 8)  elib (cited: 7)  scopus (cited: 10)
17. S. Gorchinskiy, V. Guletskii, “Transcendence degree of zero-cycles and the structure of Chow motives”, Cent. Eur. J. Math., 10:2 (2012), 559–568 , arXiv: 1009.1434  crossref  mathscinet (cited: 1)  zmath  isi (cited: 1)  elib (cited: 1)  scopus (cited: 1)

   2011
18. S. Gorchinskiy, V. Guletskii, Positive model structures for abstract symmetric spectra, 2011 , 24 pp., arXiv: 1108.3509

   2009
19. S. Gorchinskiy, F. Viviani, “A note on families of hyperelliptic curves”, Arch. Math. (Basel), 92:2 (2009), 119–128 , arXiv: 0802.0635  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus
20. S. Gorchinskiy, “Notes on the biextension of Chow groups”, Motives and algebraic cycles, Fields Inst. Commun., 56, Amer. Math. Soc., Providence, RI, 2009, 111–148 , arXiv: 0802.1437  mathscinet  zmath  isi

   2008
21. S. Gorchinskiy, F. Viviani, “Picard group of moduli of hyperelliptic curves”, Math. Z., 258:2 (2008), 319–331 , arXiv: math/0609705  crossref  mathscinet (cited: 6)  zmath  isi (cited: 7)  elib (cited: 6)  scopus (cited: 6)
22. S. O. Gorchinskiy, “An adelic resolution for homology sheaves”, Izv. Math., 72:6 (2008), 1187–1252  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 3)

   2007
23. S. O. Gorchinskiy, “Adele resolvent for bundles of $K$-groups”, Russian Math. Surveys, 62:1 (2007), 184–186  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2006
24. S. Gorchinskiy, F. Viviani, “Families of $n$-gonal curves with maximal variation of moduli”, Le Matematiche (Catania), 61:1 (2006), 185–209 , arXiv: math/0511625  mathscinet (cited: 1)  zmath
25. S. O. Gorchinskiy, “Poincaré biextension and idèles on an algebraic curve”, Sb. Math., 197:1 (2006), 23–36  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 1)

   2005
26. S. O. Gorchinskii, A. N. Parshin, “Adelic Lefschetz formula for the action of a one-dimensional torus”, Trudy Sankt-Peterburgskogo matematicheskogo obschestva, 11, 2005, 37–57  mathscinet  zmath; S. O. Gorchinskii, A. N. Parshin, “Adelic Lefschetz formula for the action of a one-dimensional torus”, Proceedings of the St. Petersburg Mathematical Society, v. XI, Amer. Math. Soc. Transl. Ser. 2, 218, Amer. Math. Soc., Providence, RI, 2006, 31–48 , arXiv: math/0408058  mathscinet  zmath

Presentations in Math-Net.Ru
1. Irreducible representations of finitely generated nilpotent groups
Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2016
November 16, 2016 14:00   
2. Categorical measures for varieties with finite group actions
The third Russian-Chinese conference on complex analysis, algebra, algebraic geometry and mathematical physics
May 11, 2016 15:50   
3. Universal triviality of zero-cycles
Iskovskikh Seminar
April 28, 2016 18:00
4. Многомерный символ Конту–Каррера
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
April 26, 2016 15:00
5. Неприводимые представления нильпотентных конечно порожденных групп
Knots and Representation Theory
April 19, 2016 17:45
6. Higher Contou-Carrere symbol
Globus Seminar
March 24, 2016 15:40   
7. Топологическая K-теория семейств проективных пространств
Algebraic topology and its applications. Postnikov memorial seminar
March 15, 2016 16:45
8. Полярные гомологии
Knots and Representation Theory
February 16, 2016 18:30
9. Irreducible representations of nilpotent finitely generated groups
St. Petersburg Seminar on Representation Theory and Dynamical Systems
November 25, 2015 17:00
10. Higher Contou-Carrère symbol
Steklov Mathematical Institute Seminar
November 19, 2015 16:00   
11. Категорные классы схем Севери–Брауера
Annual memorial conference dedicated to the memory of Andrei Nikolaevich Tyurin
October 26, 2015 11:40   
12. Многомерный символ Конту-Каррера и касательное пространство к К-теории Милнора
Laboratory of algebraic geometry: weekly seminar
March 13, 2015 17:00
13. Нерациональность гиперповерхностей и разложение диагонали
Seminar on Geometry of Algebraic Varieties
February 27, 2015 14:00
14. Многомерный символ Конту–Каррера и касательное пространство к К-теории Милнора
Traditional winter session MIAN–POMI
December 20, 2014 11:15   
15. Motives of threefolds with represenatble zero-cycles
International conference "Geometry of Algebraic Varieties" dedicated to the memory of V. A. Iskovskikh
October 24, 2013 11:00   
16. Параметрическая дифференциальная теория Галуа
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
October 15, 2013 15:00
17. Meeting of young scientists in defense of academic science
At Steklov Mathematical Institute of Russian Academy of Sciences
August 24, 2013   
18. Параметризованная дифференциальная теория Галуа
Meetings of the Moscow Mathematical Society
February 26, 2013 18:30
19. Adeles
Colloquium of the Steklov Mathematical Institute of Russian Academy of Sciences
February 7, 2013 16:00   
20. Итерированные интегралы
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
November 6, 2012 15:00
21. Periodic homology of Hecke algebras for $p$-adic groups
Seminar on Arithmetic Algebraic Geometry
October 31, 2012 12:00
22. Phantom categories and the Merkurjev–Suslin theorem
Annual memorial conference dedicated to the memory of Andrei Nikolaevich Tyurin (24.02.1940–27.10.2002) "Algebraic and Differential Geometry of Andrei Tyurin"
October 25, 2012 12:30   
23. Parameterized differential Galois theory
International Chinese-Russian conference on Number Theory
October 9, 2012 13:45   
24. Multiple zeta values: preliminaries
The joint seminar of the Sector 4.1 (IITP RAS) and Poncelet French-Russian laboratory "Arithmetic, Geometry and Coding Theory"
October 1, 2012 19:00
25. Introduction to multiple zeta-values
The joint seminar of the Sector 4.1 (IITP RAS) and Poncelet French-Russian laboratory "Arithmetic, Geometry and Coding Theory"
September 24, 2012 18:00
26. Порождаемость модулей и трансцендентность нуль-циклов
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
July 17, 2012 15:00
27. The Riemann-Roch theorem and adeles
Seminar on Arithmetic Algebraic Geometry
May 16, 2012 12:00
28. Hodge structures on the fundamental group and polylogarithms
The joint seminar of the Sector 4.1 (IITP RAS) and Poncelet French-Russian laboratory "Arithmetic, Geometry and Coding Theory"
March 5, 2012 18:00
29. Polar homology
Russian–German conference on Several Complex Variables
February 28, 2012 14:00   
30. Special values ​​of zeta functions and regulators for numeric fields
The joint seminar of the Sector 4.1 (IITP RAS) and Poncelet French-Russian laboratory "Arithmetic, Geometry and Coding Theory"
February 13, 2012 18:00
31. Mordell conjecture. Lecture 4
Japan–Russia winter school
January 23, 2012 17:00
32. Mordell conjecture. Lecture 3
Japan–Russia winter school
January 20, 2012 17:00
33. Mordell conjecture. Lecture 2
Japan–Russia winter school
January 18, 2012 17:00
34. Mordell conjecture. Lecture 1
Japan–Russia winter school
January 14, 2012 14:00
35. Application of motivic complexes to higherdimensional class field theory
Seminar on Arithmetic Algebraic Geometry
November 23, 2011 12:00
36. Параметризованная дифференциальная теория Галуа
Weekly seminar of Laboratory of algebraic geometry
November 11, 2011 17:00
37. On "Regulators"
The joint seminar of the Sector 4.1 (IITP RAS) and Poncelet French-Russian laboratory "Arithmetic, Geometry and Coding Theory"
October 31, 2011 18:00
38. Tensor structure on automorphic representations
Seminar on Arithmetic Algebraic Geometry
October 12, 2011 12:00
39. Теорема Морделла-Вейля IV
Summer mathematical school "Algebra and Geometry", 2011
August 7, 2011 18:15   
40. Теорема Морделла-Вейля II
Summer mathematical school "Algebra and Geometry", 2011
August 2, 2011 09:30   
41. Теорема Морделла-Вейля I
Summer mathematical school "Algebra and Geometry", 2011
August 1, 2011 16:30   
42. Homological properties of representations of reductive $p$-adic groups
Seminar on Arithmetic Algebraic Geometry
April 27, 2011 13:00
43. Polar homology
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
April 20, 2011 16:45
44. Homological properties of representations of reductive $p$-adic groups.
Seminar on Arithmetic Algebraic Geometry
April 20, 2011 13:00
45. Полярные гомологии
Riemann surfaces, Lie algebras and mathematical physics
March 25, 2011 17:00
46. Polar homology
Instantons in complex geometry
March 14, 2011 16:00   
47. Representation theory of reductive $p$-adic groups
Seminar on Arithmetic Algebraic Geometry
December 8, 2010 13:00
48. $p$-adic differential equations III
The joint seminar of the Sector 4.1 (IITP RAS) and Poncelet French-Russian laboratory "Arithmetic, Geometry and Coding Theory"
December 7, 2010 18:15
49. Representation theory of reductive $p$-adic groups
Seminar on Arithmetic Algebraic Geometry
December 1, 2010 11:00
50. $p$-adic differential equations II
The joint seminar of the Sector 4.1 (IITP RAS) and Poncelet French-Russian laboratory "Arithmetic, Geometry and Coding Theory"
November 30, 2010 18:15
51. Representation theory of reductive $p$-adic groups
Seminar on Arithmetic Algebraic Geometry
November 25, 2010 11:00
52. $p$-adic differential equations
The joint seminar of the Sector 4.1 (IITP RAS) and Poncelet French-Russian laboratory "Arithmetic, Geometry and Coding Theory"
November 23, 2010 18:15
53. $p$-adic Galois representations of local fields
Seminar of the Department of Algebra
November 23, 2010 15:00
54. Representation theory of reductive $p$-adic groups
Seminar on Arithmetic Algebraic Geometry
November 17, 2010 11:15
55. Полярный комплекс
Seminar of the Department of Algebra
April 27, 2010 15:00
56. Параметризованные дифференциальные группы Галуа
Seminar on Arithmetic Algebraic Geometry
March 31, 2010 14:00
57. Смешанные мотивы и алгебраические циклы
Seminar of the Department of Algebra
March 31, 2009 15:00
58. Квантовые теории поля на алгебраической кривой
Seminar on Arithmetic Algebraic Geometry
March 26, 2009 13:00
59. Adelic resolution and its applications
The second annual conference-meeting MIAN–POMI "Algebra and Algebraic Geometry"
December 24, 2008 16:30   
60. Адельная резольвента для пучков $K$-групп
Seminar on Arithmetic Algebraic Geometry
December 11, 2008 14:00
61. Адельная резольвента для пучков $K$-групп
Seminar on Arithmetic Algebraic Geometry
December 4, 2008 14:00
62. Адельная резольвента для пучков $K$-групп
Seminar on Arithmetic Algebraic Geometry
November 27, 2008 14:00
63. Гиперболические аналоги гипотез об $L$-функциях
Seminar of the Department of Algebra
December 4, 2007 15:00
64. О бирасширениях над группами Чжоу
Seminar of the Department of Algebra
October 23, 2007 15:00
65. Адельные резольвенты и их применения к $К$-когомологиям (окончание)
Seminar on Arithmetic Algebraic Geometry
April 17, 2007 11:30
66. Адельные резольвенты и их применения к $К$-когомологиям
Seminar on Arithmetic Algebraic Geometry
April 10, 2007 11:30
67. Неразветвленная двумерная теория полей классов (продолжение)
Seminar on Arithmetic Algebraic Geometry
November 2, 2005
68. Неразветвленная двумерная теория полей классов (продолжение)
Seminar on Arithmetic Algebraic Geometry
October 19, 2005
69. Неразветвленная двумерная теория полей классов (продолжение)
Seminar on Arithmetic Algebraic Geometry
October 12, 2005
70. Неразветвленная двумерная теория полей классов
Seminar on Arithmetic Algebraic Geometry
October 5, 2005
71. Высшие регуляторы и гипотезы Бейлинсона
Seminar on Arithmetic Algebraic Geometry
March 9, 2005
72. Группы $K_0$, $K_1$, $K_2$: определения и основные свойства. Их связи с алгеброй, арифметикой и топологией
Seminar on Arithmetic Algebraic Geometry
December 1, 2004
73. Адельная формула Лефшеца
Seminar of the Department of Algebra
November 23, 2004
74. Аналог $\theta$-дивизора в одномерной геометрии Аракелова (по статье Р. Скоф и ван дер Гее)
Seminar on Arithmetic Algebraic Geometry
September 29, 2004

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