×
Author ID: vilonen.kari Recent zbMATH articles by "Vilonen, Kari"
Published as: Vilonen, Kari; Vilonen, K.
External Links: MGP · Wikidata

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 666 times in 478 Documents Cited by Year
Geometric Langlands duality and representations of algebraic groups over commutative rings. Zbl 1138.22013
Mirković, I.; Vilonen, K.
199
2007
Elementary construction of perverse sheaves. Zbl 0597.18005
MacPherson, Robert; Vilonen, Kari
82
1986
Perverse sheaves on affine Grassmannians and Langlands duality. Zbl 0987.14015
Mirković, Ivan; Vilonen, Kari
44
2000
Characteristic cycles and wave front cycles of representations of reductive Lie groups. Zbl 0960.22009
Schmid, Wilfried; Vilonen, Kari
32
2000
Characteristic cycles of constructible sheaves. Zbl 0851.32011
Schmid, Wilfried; Vilonen, Kari
28
1996
Perverse sheaves and quivers. Zbl 0861.32022
Gelfand, Sergei; MacPherson, Robert; Vilonen, Kari
28
1996
Whittaker patterns in the geometry of moduli spaces of bundles on curves. Zbl 1070.11050
Frenkel, E.; Gaitsgory, D.; Vilonen, K.
27
2001
Characteristic varieties of character sheaves. Zbl 0683.22012
Mirković, I.; Vilonen, K.
25
1988
On the geometric Langlands conjecture. Zbl 1071.11039
Frenkel, E.; Gaitsgory, D.; Vilonen, K.
20
2002
Matsuki correspondence for sheaves. Zbl 0789.53033
Mirković, I.; Uzawa, T.; Vilonen, K.
18
1992
Perverse sheaves with singularities along the curve \(y^ n=x^ m\). Zbl 0638.32014
MacPherson, Robert; Vilonen, Kari
16
1988
Two geometric character formulas for reductive Lie groups. Zbl 0976.22010
Schmid, Wilfried; Vilonen, Kari
13
1998
Bernstein-Gelfand-Gelfand reciprocity on perverse sheaves. Zbl 0651.14010
Mirollo, R.; Vilonen, K.
12
1987
Geometric realization of Whittaker functions and the Langlands conjecture. Zbl 1068.11501
Frenkel, E.; Gaitsgory, D.; Kazhdan, D.; Vilonen, K.
12
1998
Perverse sheaves and finite dimensional algebras. Zbl 0811.14016
Vilonen, K.
12
1994
Springer correspondence for the split symmetric pair in type \(A\). Zbl 1490.20032
Chen, Tsao-Hsien; Vilonen, Kari; Xue, Ting
11
2018
A geometric Jacquet functor. Zbl 1134.22300
Emerton, M.; Nadler, D.; Vilonen, K.
8
2004
Intersection homology \({\mathcal D}\)-module on local complete intersections with isolated singularities. Zbl 0578.14018
Vilonen, K.
7
1985
Construction élémentaire des faisceaux pervers. (Elementary construction of perverse sheaves). Zbl 0581.14013
MacPherson, Robert; Vilonen, Kari
6
1984
Character sheaves for classical symmetric pairs. Zbl 1527.20077
Vilonen, Kari; Xue, Ting
6
2022
Characteristic cycles and decomposition numbers. Zbl 1297.14010
Vilonen, Kari; Williamson, Geordie
6
2013
Microdifferential systems and the codimension-three conjecture. Zbl 1304.32007
Kashiwara, Masaki; Vilonen, Kari
5
2014
Hessenberg varieties, intersections of quadrics, and the Springer correspondence. Zbl 1454.14118
Chen, Tsao-Hsien; Vilonen, Kari; Xue, Ting
5
2020
Erratum for “Geometric Langlands duality and representations of algebraic groups over commutative rings”. Zbl 1400.22015
Mirković, I.; Vilonen, Kari
5
2018
On the cohomology of Fano varieties and the Springer correspondence. Zbl 1401.14179
Chen, Tsao-Hsien; Vilonen, Kari; Xue, Ting
4
2017
On the geometry of nilpotent orbits. Zbl 0956.22007
Schmid, Wilfried; Vilonen, Kari
4
1999
Nearby cycle sheaves for symmetric pairs. Zbl 1528.22011
Grinberg, Mikhail; Vilonen, Kari; Xue, Ting
4
2023
Springer correspondence, hyperelliptic curves, and cohomology of Fano varieties. Zbl 1467.14115
Chen, Tsao-Hsien; Vilonen, Kari; Xue, Ting
4
2020
Characters, fixed points and Osborne’s conjecture. Zbl 0811.22006
Schmid, W.; Vilonen, K.
3
1993
The null-cone and cohomology of vector bundles on flag varieties. Zbl 1391.14101
Vilonen, Kari; Xue, Ting
3
2016
Character sheaves for symmetric pairs: special linear groups. Zbl 1520.20101
Vilonen, Kari; Xue, Ting
3
2023
On the codimension-three conjecture. Zbl 1225.32018
Kashiwara, Masaki; Vilonen, Kari
2
2010
Weyl group actions on Lagrangian cycles and Rossmann’s formula. Zbl 0835.22013
Schmid, W.; Vilonen, K.
2
1994
Characters, characteristic cycles, and nilpotent orbits. Zbl 0865.22008
Schmid, Wilfried; Vilonen, Kari
2
1995
Koszul duality for quasi-split real groups. Zbl 1484.14023
Bezrukavnikov, Roman; Vilonen, Kari
2
2021
Hodge theory and unitary representations of reductive Lie groups. Zbl 1523.22017
Schmid, Wilfried; Vilonen, Kari
2
2011
Character sheaves for graded Lie algebras: stable gradings. Zbl 1528.17022
Vilonen, Kari; Xue, Ting
2
2023
On the geometry of nilpotent orbits. Zbl 1051.22003
Schmid, Wilfried; Vilonen, Kari
1
2000
Hodge theory and unitary representations. Zbl 1342.22028
Schmid, Wilfried; Vilonen, Kari
1
2015
Nearby cycle sheaves for symmetric pairs. Zbl 1528.22011
Grinberg, Mikhail; Vilonen, Kari; Xue, Ting
4
2023
Character sheaves for symmetric pairs: special linear groups. Zbl 1520.20101
Vilonen, Kari; Xue, Ting
3
2023
Character sheaves for graded Lie algebras: stable gradings. Zbl 1528.17022
Vilonen, Kari; Xue, Ting
2
2023
Character sheaves for classical symmetric pairs. Zbl 1527.20077
Vilonen, Kari; Xue, Ting
6
2022
Koszul duality for quasi-split real groups. Zbl 1484.14023
Bezrukavnikov, Roman; Vilonen, Kari
2
2021
Hessenberg varieties, intersections of quadrics, and the Springer correspondence. Zbl 1454.14118
Chen, Tsao-Hsien; Vilonen, Kari; Xue, Ting
5
2020
Springer correspondence, hyperelliptic curves, and cohomology of Fano varieties. Zbl 1467.14115
Chen, Tsao-Hsien; Vilonen, Kari; Xue, Ting
4
2020
Springer correspondence for the split symmetric pair in type \(A\). Zbl 1490.20032
Chen, Tsao-Hsien; Vilonen, Kari; Xue, Ting
11
2018
Erratum for “Geometric Langlands duality and representations of algebraic groups over commutative rings”. Zbl 1400.22015
Mirković, I.; Vilonen, Kari
5
2018
On the cohomology of Fano varieties and the Springer correspondence. Zbl 1401.14179
Chen, Tsao-Hsien; Vilonen, Kari; Xue, Ting
4
2017
The null-cone and cohomology of vector bundles on flag varieties. Zbl 1391.14101
Vilonen, Kari; Xue, Ting
3
2016
Hodge theory and unitary representations. Zbl 1342.22028
Schmid, Wilfried; Vilonen, Kari
1
2015
Microdifferential systems and the codimension-three conjecture. Zbl 1304.32007
Kashiwara, Masaki; Vilonen, Kari
5
2014
Characteristic cycles and decomposition numbers. Zbl 1297.14010
Vilonen, Kari; Williamson, Geordie
6
2013
Hodge theory and unitary representations of reductive Lie groups. Zbl 1523.22017
Schmid, Wilfried; Vilonen, Kari
2
2011
On the codimension-three conjecture. Zbl 1225.32018
Kashiwara, Masaki; Vilonen, Kari
2
2010
Geometric Langlands duality and representations of algebraic groups over commutative rings. Zbl 1138.22013
Mirković, I.; Vilonen, K.
199
2007
A geometric Jacquet functor. Zbl 1134.22300
Emerton, M.; Nadler, D.; Vilonen, K.
8
2004
On the geometric Langlands conjecture. Zbl 1071.11039
Frenkel, E.; Gaitsgory, D.; Vilonen, K.
20
2002
Whittaker patterns in the geometry of moduli spaces of bundles on curves. Zbl 1070.11050
Frenkel, E.; Gaitsgory, D.; Vilonen, K.
27
2001
Perverse sheaves on affine Grassmannians and Langlands duality. Zbl 0987.14015
Mirković, Ivan; Vilonen, Kari
44
2000
Characteristic cycles and wave front cycles of representations of reductive Lie groups. Zbl 0960.22009
Schmid, Wilfried; Vilonen, Kari
32
2000
On the geometry of nilpotent orbits. Zbl 1051.22003
Schmid, Wilfried; Vilonen, Kari
1
2000
On the geometry of nilpotent orbits. Zbl 0956.22007
Schmid, Wilfried; Vilonen, Kari
4
1999
Two geometric character formulas for reductive Lie groups. Zbl 0976.22010
Schmid, Wilfried; Vilonen, Kari
13
1998
Geometric realization of Whittaker functions and the Langlands conjecture. Zbl 1068.11501
Frenkel, E.; Gaitsgory, D.; Kazhdan, D.; Vilonen, K.
12
1998
Characteristic cycles of constructible sheaves. Zbl 0851.32011
Schmid, Wilfried; Vilonen, Kari
28
1996
Perverse sheaves and quivers. Zbl 0861.32022
Gelfand, Sergei; MacPherson, Robert; Vilonen, Kari
28
1996
Characters, characteristic cycles, and nilpotent orbits. Zbl 0865.22008
Schmid, Wilfried; Vilonen, Kari
2
1995
Perverse sheaves and finite dimensional algebras. Zbl 0811.14016
Vilonen, K.
12
1994
Weyl group actions on Lagrangian cycles and Rossmann’s formula. Zbl 0835.22013
Schmid, W.; Vilonen, K.
2
1994
Characters, fixed points and Osborne’s conjecture. Zbl 0811.22006
Schmid, W.; Vilonen, K.
3
1993
Matsuki correspondence for sheaves. Zbl 0789.53033
Mirković, I.; Uzawa, T.; Vilonen, K.
18
1992
Characteristic varieties of character sheaves. Zbl 0683.22012
Mirković, I.; Vilonen, K.
25
1988
Perverse sheaves with singularities along the curve \(y^ n=x^ m\). Zbl 0638.32014
MacPherson, Robert; Vilonen, Kari
16
1988
Bernstein-Gelfand-Gelfand reciprocity on perverse sheaves. Zbl 0651.14010
Mirollo, R.; Vilonen, K.
12
1987
Elementary construction of perverse sheaves. Zbl 0597.18005
MacPherson, Robert; Vilonen, Kari
82
1986
Intersection homology \({\mathcal D}\)-module on local complete intersections with isolated singularities. Zbl 0578.14018
Vilonen, K.
7
1985
Construction élémentaire des faisceaux pervers. (Elementary construction of perverse sheaves). Zbl 0581.14013
MacPherson, Robert; Vilonen, Kari
6
1984
all top 5

Cited by 437 Authors

18 Vilonen, Kari
14 Gaitsgory, Dennis
13 Kamnitzer, Joel
12 Riche, Simon
11 Frenkel, Edward V.
11 Nang, Philibert
11 Williamson, Geordie
10 Achar, Pramod N.
10 Mirković, Ivan
9 Bezrukavnikov, Roman
9 Nadler, David
8 Božičević, Mladen
8 Finkelberg, Michael Vladlenovich
7 Chen, Tsao-Hsien
7 Ginzburg, Victor
7 Hu, Yonggang
7 Lysenko, Sergey
7 Xue, Ting
7 Yun, Zhiwei
6 Braverman, Alexander
6 Cautis, Sabin
6 Lőrincz, András Cristian
6 Raskin, Sam
6 Richarz, Timo
6 Zhu, Xinwen
6 Zierau, Roger
5 Braden, Tom
5 Haines, Thomas J.
5 Ngô Bao Châu
4 Barchini, Leticia
4 Baumann, Pierre
4 Hong, Jiuzu
4 Kapranov, Mikhail M.
4 Libine, Matvei
4 Maxim, Laurentiu G.
4 Muthiah, Dinakar
4 Naito, Satoshi
4 Psaroudakis, Chrysostomos
4 Rietsch, Konstanze
4 Sagaki, Daisuke
4 Schechtman, Vadim
4 Treumann, David
4 Vybornov, Maxim
4 Webster, Ben
4 Yao, Hailou
3 Arkhipov, Sergey M.
3 Campbell, Justin
3 Dimofte, Tudor Dan
3 Fontaine, Bruce
3 Fu, Xuerong
3 Gaussent, Stéphane
3 Gourevitch, Dmitry
3 Harris, Benjamin
3 He, Xuhua
3 Heinloth, Jochen
3 Juteau, Daniel
3 Kashiwara, Masaki
3 Kato, Syu
3 Lecouvey, Cédric
3 Lenart, Cristian
3 Levin, Brandon
3 Lin, Yanan
3 MacPherson, Robert Duncan
3 Mautner, Carl Irving
3 Narváez-Macarro, Luis
3 Nishiyama, Kyo
3 Raicu, Claudiu
3 Scholbach, Jakob
3 Tingley, Peter W.
3 Viehmann, Eva
3 Weekes, Alex
3 Yacobi, Oded
3 Zhou, Panyue
2 Akhmejanov, Tair
2 Arinkin, Dima
2 Banagl, Markus
2 Beilinson, Alexander A.
2 Bellamy, Gwyn
2 Ben-Zvi, David
2 Besson, Marc
2 Brubaker, Ben
2 Bullimore, Mathew Richard
2 Casbi, Elie
2 Ciappara, Joshua
2 D’Agnolo, Andrea
2 Dean, Samuel
2 Dhillon, Gurbir
2 Dranowski, Anne
2 Evens, Sam
2 Farang-Hariri, Banafsheh
2 Friedberg, Solomon
2 Friedman, Greg
2 Gaiotto, Davide
2 Ganev, Iordan
2 Görtz, Ulrich
2 Grinberg, Mikhail
2 Gudiel Rodríguez, Félix
2 Henderson, Anthony
2 Hilburn, Justin
2 Kamgarpour, Masoud
...and 337 more Authors
all top 5

Cited in 110 Serials

43 Advances in Mathematics
29 Duke Mathematical Journal
27 Compositio Mathematica
26 Representation Theory
22 Inventiones Mathematicae
21 Journal of Algebra
21 Selecta Mathematica. New Series
17 Transactions of the American Mathematical Society
14 Journal of the American Mathematical Society
13 Annales de l’Institut Fourier
12 Transformation Groups
10 Annals of Mathematics. Second Series
7 Communications in Algebra
7 Israel Journal of Mathematics
6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Mathematische Zeitschrift
5 Proceedings of the American Mathematical Society
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
5 Oberwolfach Reports
4 Publications Mathématiques
4 Journal für die Reine und Angewandte Mathematik
4 Mathematische Annalen
4 Geometric and Functional Analysis. GAFA
4 Bulletin of the American Mathematical Society. New Series
4 Algebras and Representation Theory
4 Journal of High Energy Physics
4 Journal of the Institute of Mathematics of Jussieu
4 Algebra & Number Theory
3 Communications in Mathematical Physics
3 Bulletin of the London Mathematical Society
3 Journal of Functional Analysis
3 Journal of Pure and Applied Algebra
3 Memoirs of the American Mathematical Society
3 Proceedings of the Japan Academy. Series A
3 Journal of Algebraic Geometry
3 Applied Categorical Structures
3 Documenta Mathematica
3 Journal of Algebra and its Applications
3 Frontiers of Mathematics in China
3 Science China. Mathematics
3 European Journal of Mathematics
2 Journal of the Indian Institute of Science
2 Journal of the Korean Mathematical Society
2 Michigan Mathematical Journal
2 Proceedings of the London Mathematical Society. Third Series
2 Tôhoku Mathematical Journal. Second Series
2 International Journal of Mathematics
2 Indagationes Mathematicae. New Series
2 Séminaire Lotharingien de Combinatoire
2 Journal of the Australian Mathematical Society
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
2 Journal of Topology and Analysis
2 Japanese Journal of Mathematics. 3rd Series
2 Forum of Mathematics, Sigma
1 Communications on Pure and Applied Mathematics
1 Letters in Mathematical Physics
1 Nuclear Physics. B
1 Journal of Geometry and Physics
1 Acta Mathematica
1 Acta Mathematica Vietnamica
1 American Journal of Mathematics
1 Bulletin de la Société Mathématique de France
1 Functional Analysis and its Applications
1 Glasgow Mathematical Journal
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Manuscripta Mathematica
1 Nagoya Mathematical Journal
1 Osaka Journal of Mathematics
1 Rendiconti del Seminario Matematico della Università di Padova
1 Tokyo Journal of Mathematics
1 European Journal of Combinatorics
1 Bulletin of the Iranian Mathematical Society
1 Revista Matemática Iberoamericana
1 Journal of the Ramanujan Mathematical Society
1 Science in China. Series A
1 The Journal of Geometric Analysis
1 Glasnik Matematički. Serija III
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Algebraic Combinatorics
1 Algebra Colloquium
1 Journal of Mathematical Sciences (New York)
1 Annales Mathématiques Blaise Pascal
1 The Electronic Journal of Combinatorics
1 Journal of Lie Theory
1 Bulletin des Sciences Mathématiques
1 Mathematical Communications
1 Geometry & Topology
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Advances in Geometry
1 Foundations of Computational Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Journal of Dynamical Systems and Geometric Theories
1 Cahiers de Topologie et Géométrie Différentielle Catégoriques
1 Central European Journal of Mathematics
1 Journal of Commutative Algebra
...and 10 more Serials

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.