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Feigin, Evgenii Borisovich
Candidate of physico-mathematical sciences
Birth date:
26.07.1980
E-mail:
email , email
Keywords:
Lie algebras,
Lie groups,
flag varieties.
Subject:
Representation theory, algebraic geometry, mathematical physics, combinatorics.
Main publications:
E.Feigin, G. Fourier, P. Littelmann, “PBW filtration and bases for irreducible modules in type $A_n$ ”, Transformation Groups , 16 :1 (2011), 71–89
E.Feigin, J. van de Leur, S.Shadrin, “Givental symmetries of Frobenius manifolds and multi-component KP tau-functions”, Advances in Mathematics , 2010, № 224, 1031–1056
E.Feigin, “Bosonic formulas for affine branching functions”, Func. Anal. and Appl. , 42 :1 (2008), 63–77
https://www.mathnet.ru/eng/person33418
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/719163
Publications in Math-Net.Ru Citations
2017
1.
E. B. Feigin, “PBW degeneration: algebra, geometry, and combinatorics”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz. , 136 (2017), 3–30 J. Math. Sci. (N. Y.) , 235 :6 (2018), 685–713
1
2.
E. A. Makedonskii, E. B. Feigin, “Generalized Weyl modules for twisted current algebras”, TMF , 192 :2 (2017), 284–306 Theoret. and Math. Phys. , 192 :2 (2017), 1184–1204
3
2014
3.
E. B. Feigin, “Degenerate Group of Type $A$ : Representations and Flag Varieties”, Funktsional. Anal. i Prilozhen. , 48 :1 (2014), 73–88 Funct. Anal. Appl. , 48 :1 (2014), 59–71
2
2012
4.
E. B. Feigin, “Systems of Correlation Functions, Coinvariants, and the Verlinde Algebra”, Funktsional. Anal. i Prilozhen. , 46 :1 (2012), 49–64
1
2008
5.
E. B. Feigin, “Bosonic Formulas for Affine Branching Functions”, Funktsional. Anal. i Prilozhen. , 42 :1 (2008), 63–77 Funct. Anal. Appl. , 42 :1 (2008), 53–64
6.
Evgeny Feigin, “The PBW Filtration, Demazure Modules and Toroidal Current Algebras”, SIGMA , 4 (2008), 070, 21 pp.
7
2002
7.
B. L. Feigin, E. B. Feigin, “$q$ -characters of the tensor products in $\mathbf{sl}_2$ -case”, Mosc. Math. J. , 2 :3 (2002), 567–588
32
Presentations in Math-Net.Ru
1.
Торические вырождения грассманианов: классический и полубесконечный
случаи Shafarevich Seminar April 26, 2022 15:00
2.
Характеры и тензорные произведения – вероятностное поведение VIII Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory January 28, 2020
3.
Weighted PBW degenerations and Vinberg's polytopes Transformation groups 2017. Conference dedicated to Prof. Ernest B. Vinberg
on the occasion of his 80th birthday December 14, 2017
4.
Lecture 7 March 1, 2017
5.
Lecture 6 February 22, 2017
6.
Lecture 5 February 15, 2017
7.
Lecture 4 February 8, 2017
8.
Вершины многогранников Винберга VI Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory February 2, 2017
9.
Lecture 3 February 1, 2017
10.
Lecture 2 January 25, 2017
11.
Группы и алгебры Ли и их представления II. Лекция 1 January 18, 2017
12.
Аффинные алгебры Ли и приложения. Лекция 3 September 29, 2015
13.
Аффинные алгебры Ли и приложения. Лекция 2 September 22, 2015
14.
Аффинные алгебры Ли и приложения. Лекция 1 September 15, 2015
15.
PBW and toric degenerations Lie groups and invariant theory April 22, 2015 16:45
16.
PBW and toric degenerations International Conference dedicated to the 60-th birthday of Boris Feigin "Representation Theory and applications to Combinatorics, Geometry and Quantum Physics" December 13, 2013
17.
Вырожденные многообразия флагов типа А Weekly seminar of Laboratory of algebraic geometry April 6, 2012 17:00
18.
Degenerate flag varieties Lie groups and invariant theory March 21, 2012 16:45
19.
PBW filtration and bases in representations of simple Lie algebras St. Petersburg Seminar on Representation Theory and Dynamical Systems September 7, 2011 17:00
20.
Вырождение теории Ли: многообразия флагов, представления и комбинаторика Meetings of the Moscow Mathematical Society April 5, 2011 18:30
21.
ПБВ фильтрация и базиcы в неприводимых представлениях $sl(n)$ Seminar by Algebra Department February 9, 2010 15:00
22.
Конечно-разностные уравнения Тода Seminar by Algebra Department March 17, 2009 15:00
23.
Вертекс-операторные алгебры и аффинные алгебры Каца–Муди Lie groups and invariant theory February 11, 2009
24.
Демазюровские модули и многообразия Шуберта для аффинной алгебры $\mathfrak{sl}(2)$ Lie groups and invariant theory May 11, 2005 16:20
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