Persons: Avdeev, Roman Sergeevich

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Avdeev, Roman Sergeevich

Statistics Math-Net.Ru
in MathSciNet:	16 (16)
in zbMATH:	13 (13)
in Web of Science:	13 (13)
in Scopus:	15 (15)

Candidate of physico-mathematical sciences (2011)

Speciality:

01.01.06 (Mathematical logic, algebra, and number theory)

Birth date:

27.02.1986

E-mail:

Keywords:

algebraic group, spherical subgroup, spherical variety, flag variety, homogeneous space, algebra of invariants, semigroup, nilpotent orbit.

UDC:

512.743, 512.745, 512.816.4, 517.986.6

MSC:

14L30, 14M15, 14M17, 14M27, 20G05, 20G07, 22E46, 43A85

Subject:

Algebraic transformation groups, spherical varieties, spherical subgroups of semisimple algebraic groups.

Main publications:

R. S. Avdeev, “Extended weight semigroups of affine spherical homogeneous spaces of non-simple semisimple algebraic groups”, Izvestiya: Mathematics, 74:6 (2010), 1103–1126 , arXiv: 1012.0132
R. S. Avdeev, “On solvable spherical subgroups of semisimple algebraic groups”, Transactions of the Moscow Mathematical Society, 2011, 1–44 , arXiv: 1102.4595
R. S. Avdeev, A. V. Petukhov, “Spherical actions on flag varieties”, Sbornik: Mathematics, 205:9 (2014), 1223–1263 , arXiv: 1401.1777
Roman Avdeev, “Strongly solvable spherical subgroups and their combinatorial invariants”, Selecta Mathematica. New Series, 21:3 (2015), 931-993 , arXiv: 1212.3256
Roman Avdeev, Stéphanie Cupit-Foutou, “New and old results on spherical varieties via moduli theory”, Advances in Mathematics, 328 (2018), 1299–1352 , arXiv: 1508.00268

https://www.mathnet.ru/eng/person37714

https://scholar.google.com/citations?user=Hcgr8MkAAAAJ&hl=en

https://zbmath.org/authors/ai:avdeev.roman-s

https://mathscinet.ams.org/mathscinet/MRAuthorID/797313

https://elibrary.ru/author_items.asp?spin=8463-9420

https://orcid.org/0000-0002-4725-0352

https://www.webofscience.com/wos/author/record/D-3183-2013

https://www.scopus.com/authid/detail.url?authorId=14826625600

https://www.researchgate.net/profile/Roman_Avdeev

https://arxiv.org/a/avdeev_r_1

Full list of publications:

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List of publications:

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		Citations (Crossref Cited-By Service + Math-Net.Ru)


2024
1.	Roman Avdeev, “Degenerations of spherical subalgebras and spherical roots”, Communications in Contemporary Mathematics, 26:6 (2024), 2350029 , 53 pp., arXiv: 1905.01169

2022
2.	Ivan Arzhantsev, Roman Avdeev, “Root subgroups on affine spherical varieties”, Selecta Mathematica. New Series, 28:3 (2022), 60 , 37 pp., arXiv: 2012.02088	2 ^[x]
3.	R. S. Avdeev, V. S. Zhgoon, “On the existence of $B$-root subgroups on affine spherical varieties”, Doklady Mathematics, 105:2 (2022), 51–55 , arXiv: 2112.14268

2021
4.	Roman Avdeev, Alexey Petukhov, “Spherical actions on isotropic flag varieties and related branching rules”, Transformation Groups, 26:3 (2021), 719–774 , arXiv: 1812.00936	1 ^[x]
5.	Roman Avdeev, “On extended weight monoids of spherical homogeneous spaces”, Transformation Groups, 26:2 (2021), 403–431 , arXiv: 2005.05234	3 ^[x]

2020
6.	Roman Avdeev, Alexey Petukhov, “Branching rules related to spherical actions on flag varieties”, Algebras and Representation Theory, 23:3 (2020), 541–581 , arXiv: 1711.09801	3 ^[x]

2018
7.	Roman Avdeev, Stéphanie Cupit-Foutou, “On the irreducible components of moduli schemes for affine spherical varieties”, Transformation Groups, 23:2 (2018), 299–327 , arXiv: 1406.1713	5 ^[x]
8.	Roman Avdeev, Stéphanie Cupit-Foutou, “New and old results on spherical varieties via moduli theory”, Advances in Mathematics, 328 (2018), 1299–1352 , arXiv: 1508.00268	6 ^[x]

2015
9.	Roman Avdeev, “Strongly solvable spherical subgroups and their combinatorial invariants”, Selecta Mathematica. New Series, 21:3 (2015), 931-993 , arXiv: 1212.3256	10 ^[x]

2014
10.	R. S. Avdeev, A. V. Petukhov, “Spherical actions on flag varieties”, Sbornik: Mathematics, 205:9 (2014), 1223–1263 , arXiv: 1401.1777

2013
11.	R. S. Avdeev, “Normalizers of solvable spherical subgroups”, Mathematical Notes, 94:1-2 (2013), 20–31 , arXiv: 1107.5175

2012
12.	Roman Avdeev, “An epimorphic subgroup arising from Roberts' counterexample”, Indagationes Mathematicae, 23:1–2 (2012), 10–18 , arXiv: 1102.3543
13.	R. S. Avdeev and N. E. Gorfinkel, “Harmonic analysis on spherical homogeneous spaces with solvable stabilizer”, Functional Analysis and Its Applications, 46:3 (2012), 161–172 , arXiv: 1106.1070
14.	R. S. Avdeev, “Affine spherical homogeneous spaces with good quotient by a maximal unipotent subgroup”, Sbornik: Mathematics, 203:11-12 (2012), 1535–1552 , arXiv: 1106.5677

2011
15.	R. S. Avdeev, “On solvable spherical subgroups of semisimple algebraic groups”, Transactions of the Moscow Mathematical Society, 2011, 1–44 , arXiv: 1102.4595

2010
16.	R. S. Avdeev, “Excellent affine spherical homogeneous spaces of semisimple algebraic groups”, Transactions of the Moscow Mathematical Society, 2010, 209–240
17.	R. S. Avdeev, “Extended weight semigroups of affine spherical homogeneous spaces of non-simple semisimple algebraic groups”, Izvestiya: Mathematics, 74:6 (2010), 1103–1126 , arXiv: 1012.0132

2008
18.	R. S. Avdeev, A. Yu. Moskvin, Mat. Pros., 12, MCCME, Moscow, 2008, 223–227

2006
19.	Roman S. Avdeev, “On extreme coefficients of the Jones–Kauffman polynomial for virtual links”, Journal of Knot Theory and Its Ramifications, 15:7 (2006), 853–868

Presentations in Math-Net.Ru

1.	Однородные локально нильпотентные дифференцирования на аффинных многообразиях с действием тора. Часть II R. S. Avdeev Seminar of the Laboratory on Algebraic Transformation Groups HSE University March 6, 2024 18:00
2.	Однородные локально нильпотентные дифференцирования на аффинных многообразиях с действием тора. Часть I R. S. Avdeev Seminar of the Laboratory on Algebraic Transformation Groups HSE University February 28, 2024 18:00
3.	Корневые подгруппы на сферических многообразиях R. S. Avdeev Shafarevich Seminar December 5, 2023 15:00
4.	Системы корней и связанные с ними комбинаторные задачи R. S. Avdeev Mathematical seminar Faculty of Computer Science HSE October 20, 2023 18:10
5.	Чудесные многообразия в теории сферических многообразий, лекция 3 R. S. Avdeev The 10th Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory January 31, 2023 12:45
6.	Чудесные многообразия в теории сферических многообразий, лекция 2 R. S. Avdeev The 10th Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory January 29, 2023 09:30
7.	Чудесные многообразия в теории сферических многообразий, лекция 1 R. S. Avdeev The 10th Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory January 28, 2023 11:00
8.	Existence results for $B$-root subgroups on affine spherical varieties R. S. Avdeev Seminar of the Laboratory on Algebraic Transformation Groups HSE University February 4, 2022 18:00
9.	Root subgroups on affine spherical varieties R. S. Avdeev Lie groups and invariant theory June 2, 2021 17:00
10.	On computing the extended weight semigroups for spherical homogeneous spaces Roman Avdeev Lie groups and invariant theory February 26, 2020 16:45
11.	О вычислении расширенных полугрупп старших весов для сферических однородных пространств R. S. Avdeev VIII Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory January 27, 2020 15:50
12.	Degenerations of spherical subalgebras and spherical roots of spherical subgroups R. Avdeev Lie groups and invariant theory October 3, 2018 16:45
13.	On the conference "Geometry and Representation Theory of Algebraic Groups" R. S. Avdeev, V. S. Zhgoon Lie groups and invariant theory March 14, 2018 16:45
14.	Branching rules related to spherical actions on flag varieties (joint work with A. Petukhov) R. S. Avdeev Lie groups and invariant theory March 29, 2017 16:45
15.	Сферические действия на многообразиях флагов и правила ветвления для полупростых алгебраических групп R. S. Avdeev VI Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory January 31, 2017 17:00
16.	Orbits of solvable spherical subgroups on the flag variety (based on a paper by Jacopo Gandini and Guido Pezzini) R. Avdeev Lie groups and invariant theory February 17, 2016 16:45
17.	The moduli space of affine spherical varieties with a fixed weight monoid (continuation) R. Avdeev Lie groups and invariant theory February 25, 2015 16:45
18.	The moduli space of affine spherical varieties with a fixed weight monoid (based on a joint work with S. Cupit-Foutou) R. Avdeev Lie groups and invariant theory February 18, 2015 16:45
19.	Spherical actions on flag varieties of the classical groups (based on joint works with A. Petukhov) R. Avdeev Lie groups and invariant theory April 30, 2014 16:45
20.	Спиноры. Лекция 4 R. S. Avdeev, A. I. Bufetov Summer School "Contemporary Mathematics", 2013 July 30, 2013 15:30
21.	Спиноры. Лекция 3 R. S. Avdeev, A. I. Bufetov Summer School "Contemporary Mathematics", 2013 July 28, 2013 09:30
22.	Спиноры. Лекция 2 R. S. Avdeev, A. I. Bufetov Summer School "Contemporary Mathematics", 2013 July 26, 2013 17:00
23.	Спиноры. Лекция 1 R. S. Avdeev, A. I. Bufetov Summer School "Contemporary Mathematics", 2013 July 21, 2013 11:15
24.	Solvable spherical subgroups: a review of different approaches to classification R. Avdeev Lie groups and invariant theory October 10, 2012 16:45
25.	Geometric characterization of excellent affine spherical homogeneous spaces R. Avdeev Lie groups and invariant theory October 12, 2011 16:45
26.	Гармонический анализ на сферических однородных пространствах с разрешимым стабилизатором (совместная работа с Н. Горфинкель) R. Avdeev Lie groups and invariant theory November 10, 2010
27.	О разрешимых сферических подгруппах полупростых алгебраических групп R. Avdeev Lie groups and invariant theory March 10, 2010

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