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Pirkovskii, Alexei Yulievich
Statistics Math-Net.Ru
Total publications: 5
Scientific articles: 5
Presentations: 20
Number of views: This page: 5175 Abstract pages: 2104 Full texts: 846 References: 239
Associate professor
Candidate of physico-mathematical sciences (2000)
Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
email , email
Website:
https://www.hse.ru/staff/pirkovskii
Keywords:
Banach algebra,
locally convex algebra,
derived functors,
Hochschild cohomology,
homological dimension,
nuclear Fr\'echet algebra,
global dimension,
bidimension,
Van den Bergh isomorphisms,
Hochschild homology.
UDC:
512.55 , 512.66 , 517.98.2, 517.986 , 517.986.2 , 512.664.2
MSC:
46M , 46H , 46J , 46K , 18G , 16E , 16W , 16S
Subject:
Homology theory for Banach and topological algebras.
Biography
Graduated from Moscow State University, Department of Mechanics and Mathematics (1997). PhD in Mathematics (2000). Teaching at Higher School of Economics, Peoples' Friendship University of Russia and at Independent University of Moscow. Research interests: homology theory for Banach and topological algebras and its applications in spectral theory and in noncommutative geometry.
https://www.mathnet.ru/eng/person8872
List of publications on Google Scholar
List of publications on ZentralBlatt
https://elibrary.ru/author_items.asp?authorid=16410
Full list of publications: http://www.hse.ru/data/2012/07/21/1257417269/mypub12.pdf
Publications in Math-Net.Ru Citations
2021
1.
A. Yu. Pirkovskii, “Letter to the Editors”, Tr. Mosk. Mat. Obs. , 82 :2 (2021), 393–394 Trans. Moscow Math. Soc. , 82 (2021), 327–328
1
2012
2.
A. Yu. Pirkovskii, “Homological dimensions and Van den Bergh isomorphisms for nuclear Fréchet algebras”, Izv. RAN. Ser. Mat. , 76 :4 (2012), 65–124 Izv. Math. , 76 :4 (2012), 702–759
9
2008
3.
A. Yu. Pirkovskii, “Weak homological dimensions and biflat Köthe algebras”, Mat. Sb. , 199 :5 (2008), 45–80 Sb. Math. , 199 :5 (2008), 673–705
9
1998
4.
A. Yu. Pirkovskii, “On the conditions ensuring the freedom of topological modules over algebras of holomorphic functions”, Fundam. Prikl. Mat. , 4 :2 (1998), 585–594
5.
A. Yu. Pirkovskii, “The problem of the existence of sufficiently many injective Frechet modules over non-normed Frechet algebras”, Izv. RAN. Ser. Mat. , 62 :4 (1998), 137–154 Izv. Math. , 62 :4 (1998), 773–788
4
Presentations in Math-Net.Ru
1.
Универсальные обертывающие алгебры Аренса-Майкла и гомологические эпиморфизмы October 3, 2024
2.
Квазисвободные пополнения алгебры Тёплица–Джекобсона и их гомологии Хохшильда Number theory and Geometry. Alexey Zykin Memorial Conference June 15, 2023
3.
Плоские топологические модули: сюрпризы неметризуемого случая Noncommutative geometry and topology March 23, 2023
4.
Informal deformations of algebras of holomorphic functions Complex analysis and mathematical physics February 28, 2023 16:00
5.
Flat topological modules and a new $\mathrm{Tor}$ functor Algebras in Analysis December 2, 2022
6.
Flat topological modules. Surprises of the nonmetrizable case Algebras in Analysis May 13, 2022
7.
Гомологические свойства некоторых плотных
подалгебр в алгебре Тёплица Noncommutative geometry and topology November 25, 2021
8.
Формальные и неформальные деформации областей в $\mathbb C^n$ Noncommutative geometry and topology April 22, 2021
9.
The Tannaka-Krein duality for compact groups Algebras in Analysis March 22, 2019
10.
What is noncommutative complex analysis? Complex analysis and mathematical physics December 4, 2018
11.
Quasi-free subalgebras of the Toeplitz algebra Algebras in Analysis October 26, 2018
12.
Open embeddings of Stein spaces and homological epimorphisms. Part 2 Algebras in Analysis March 10, 2017
13.
Open embeddings of Stein spaces and homological epimorphisms Algebras in Analysis October 21, 2016
14.
Formal and holomorphic deformations of the polydisk and of the ball in $\mathbb C^n$ (Part 2) Algebras in Analysis March 18, 2016
15.
Formal and holomorphic deformations of the polydisk and of the ball in $\mathbb C^n$ Algebras in Analysis February 26, 2016
16.
Функциональное исчисление Тэйлора и производные категории Weekly seminar of Laboratory of algebraic geometry December 19, 2014 17:00
17.
Sheaves and their applications to spectral theory of operators (Part 2) Algebras in Analysis November 14, 2014
18.
Sheaves and their applications to spectral theory of operators Algebras in Analysis October 31, 2014
19.
Taylor's functional calculus and derived categories (Part 6) Algebras in Analysis April 11, 2014
20.
Taylor's functional calculus and derived categories (Part 5) Algebras in Analysis April 4, 2014
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