Zobrazeno 1 - 10
of 71
pro vyhledávání: '"JUTEAU, DANIEL"'
This paper includes the classification, in a simple Lie algebra, of the singularities of Slodowy slices between special nilpotent orbits that are adjacent in the partial order on nilpotent orbits. The irreducible components of most singularities are
Externí odkaz:
http://arxiv.org/abs/2310.00521
The nilpotent cone of a simple Lie algebra is partitioned into locally closed subvarieties called special pieces, each containing exactly one special orbit. Lusztig conjectured that each special piece is the quotient of some smooth variety by a preci
Externí odkaz:
http://arxiv.org/abs/2308.07398
We construct a new infinite family of 4-dimensional isolated symplectic singularities with trivial local fundamental group, answering a question of Beauville raised in 2000. Three constructions are presented for this family: (1) as singularities in b
Externí odkaz:
http://arxiv.org/abs/2112.15494
Autor:
Dupont, Clément, Juteau, Daniel
Publikováno v:
Algebr. Geom. Topol. 24 (2024) 1431-1466
We construct and study a motivic lift of a spectral sequence associated to a stratified scheme, recently discovered by Petersen in the context of mixed Hodge theory and $\ell$-adic Galois representations. The original spectral sequence expresses the
Externí odkaz:
http://arxiv.org/abs/2003.04217
Autor:
Griffeth, Stephen, Juteau, Daniel
Given a complex reflection group W we compute the support of the spherical irreducible module of the rational Cherednik algebra of W in terms of the simultaneous eigenfunction of the Dunkl operators and Schur elements for finite Hecke algebras.
Externí odkaz:
http://arxiv.org/abs/1707.08196
Publikováno v:
In Indagationes Mathematicae January 2022 33(1):218-237
Publikováno v:
"Tsinghua Lectures in Mathematics", Adv. Lect. Math., no. 45, L. Ji, Y.-S. Poon and S.-T. Yau (eds.), International Press, Boston, 2019, pp. 77-99
This is an overview of our series of papers on the modular generalized Springer correspondence. It is an expansion of a lecture given by the second author in the Fifth Conference of the Tsinghua Sanya International Mathematics Forum, Sanya, December
Externí odkaz:
http://arxiv.org/abs/1510.08962
Publikováno v:
Selecta Math. (N.S.) 23 (2017), no. 1, 203-243
We study some aspects of modular generalized Springer theory for a complex reductive group $G$ with coefficients in a field $\mathbb k$ under the assumption that the characteristic $\ell$ of $\mathbb k$ is rather good for $G$, i.e., $\ell$ is good an
Externí odkaz:
http://arxiv.org/abs/1507.06581
Publikováno v:
Math. Ann. 369 (2017), no. 1-2, 247-300
We complete the construction of the modular generalized Springer correspondence for an arbitrary connected reductive group, with a uniform proof of the disjointness of induction series that avoids the case-by-case arguments for classical groups used
Externí odkaz:
http://arxiv.org/abs/1507.00401
We introduce parabolic degenerations of rational Cherednik algebras of complex reflection groups, and use them to give necessary conditions for finite-dimensionality of an irreducible lowest weight module for the rational Cherednik algebra of a compl
Externí odkaz:
http://arxiv.org/abs/1502.08025