Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Ivan Losev"'
Autor:
Roman Bezrukavnikov, Ivan Losev
Publikováno v:
Springer Berlin Heidelberg
We compute the number of finite dimensional irreducible modules for the algebras quantizing Nakajima quiver varieties. We get a lower bound for all quivers and vectors of framing. We provide an exact count in the case when the quiver is of finite typ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48ec1166572f5557d5d60e5f54909a45
https://doi.org/10.1007/s00222-020-01007-z
https://doi.org/10.1007/s00222-020-01007-z
Autor:
Ivan Losev
Publikováno v:
Trends in Mathematics ISBN: 9783030820060
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::50963a6e7685e19765c750033c2d8908
https://doi.org/10.1007/978-3-030-82007-7_2
https://doi.org/10.1007/978-3-030-82007-7_2
Autor:
Ivan Losev
Publikováno v:
International Mathematics Research Notices. 2021:442-472
In this paper we study derived equivalences for Symplectic reflection algebras. We establish a version of the derived localization theorem between categories of modules over Symplectic reflection algebras and categories of coherent sheaves over quant
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa9164b325f3592c7fef8f7563259dd2
https://doi.org/10.1093/imrn/rnz178
https://doi.org/10.1093/imrn/rnz178
Autor:
Seth Shelley-Abrahamson, Ivan Losev
Publikováno v:
Selecta Mathematica. 24:1729-1804
For a complex reflection group W with reflection representation $$\mathfrak {h}$$ , we define and study a natural filtration by Serre subcategories of the category $$\mathcal {O}_c(W, \mathfrak {h})$$ of representations of the rational Cherednik alge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ae7d15e5e8529f354c846d88bfaa3257
https://doi.org/10.1007/s00029-018-0390-6
https://doi.org/10.1007/s00029-018-0390-6
Autor:
Ivan Losev
Publikováno v:
Advances in Mathematics. 308:941-963
In this paper we study the representation theory of filtered algebras with commutative associated graded whose spectrum has finitely many symplectic leaves. Examples are provided by the algebras of global sections of quantizations of symplectic resol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6743594d155d865aa0d66b156b832ca7
https://doi.org/10.1016/j.aim.2016.12.033
https://doi.org/10.1016/j.aim.2016.12.033
Publikováno v:
Springer Berlin Heidelberg
We study the minimally supported representations of quantizations of Gieseker moduli spaces. We relate them to $\operatorname{SL}_n$-equivariant D-modules on the nilpotent cone of $\mathfrak{sl}_n$ and to minimally supported representations of type A
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::03785cfbdfe1e1ef1cda27c0b2851567
Wall-crossing functors for quantized symplectic resolutions: perversity and partial Ringel dualities
Autor:
Ivan Losev
Publikováno v:
Pure and Applied Mathematics Quarterly. 13:247-289
In this paper we study wall-crossing functors between categories of modules over quantizations of symplectic resolutions. We prove that wall-crossing functors through faces are perverse equivalences and use this to verify an Etingof type conjecture f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9abaf9bc4be83f9f21e0fd82fd6aa121
https://doi.org/10.4310/pamq.2017.v13.n2.a3
https://doi.org/10.4310/pamq.2017.v13.n2.a3
Autor:
Ivan Losev
Publikováno v:
Advances in Mathematics. 377:107491
The goal of this paper is to compute the supports of simple modules in the categories O for the rational Cherednik algebras associated to groups G ( l , 1 , n ) . For this we compute some combinatorial maps on the set of simples: wall-crossing biject
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5213851f291909add0745299dc71e1fe
https://doi.org/10.1016/j.aim.2020.107491
https://doi.org/10.1016/j.aim.2020.107491
Autor:
Ivan Losev
A Procesi bundle, a rank $n!$ vector bundle on the Hilbert scheme $H_n$ of $n$ points in $\mathbb{C}^2$, was first constructed by Mark Haiman in his proof of the $n!$ theorem by using a complicated combinatorial argument. Since then alternative const
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c3287202bcc1e038326c593a2e54696e
Autor:
Ivan Losev
In this paper we classify the irreducible Harish-Chandra bimodules with full support over filtered quantizations of conical symplectic singularities under the condition that none of the slices to codimension 2 symplectic leaves has type $E_8$. More p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb26c6540f35b5d4ed2f7e808a39000a
http://arxiv.org/abs/1810.07625
http://arxiv.org/abs/1810.07625