1040:
272:) to work on a project aimed at establishing links between the Langlands program and dualities in quantum field theory. Later, Frenkel wrote, "We felt like we were in uncharted territory: no mathematicians we knew had ever received grants of this magnitude before." The funds were used to coordinate the work of dozens of mathematicians with the goal of making a concerted effort in a significant area of research.
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31:
275:
In 2007, with Ivan
Mirković, he published "Geometric Langlands duality and representations of algebraic groups over commutative rings", which proved the geometric Satake equivalence, a geometric version of the
302:, their highest award to an individual. This five year grant will allow him to address deep longstanding questions about real groups, algebraic objects which describe the basic symmetries occurring in nature.
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268:, Dennis Gaitsgory and Edward Frenkel were awarded a multimillion dollar grant from the Defense Advanced Research Projects Agency (
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Schmid, Wilfried; Vilonen, Kari (2000). "Characteristic Cycles and Wave Front Cycles of
Representations of Reductive Lie Groups".
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299:
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877:
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Kashiwara, Masaki; Vilonen, Kari (1 September 2014). "Microdifferential systems and the codimension-three conjecture".
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211:
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Schmid, Wilfried; Vilonen, Kari (2011). "Hodge theory and the unitary representations of reductive Lie groups".
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from 2010 to 2015. Starting in 2015, Vilonen has been a professor at the
University of Melbourne in
231:
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Mirković, I; Vilonen, K (1999). "Perverse sheaves on affine
Grassmannians and Langlands duality".
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991:"Geometric Langlands duality and representations of algebraic groups over commutative rings"
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MacPherson, Robert; Vilonen, Kari (1986). "Elementary construction of perverse sheaves".
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554:. IAS/Park City Mathematics Series 8. American Mathematical Society. pp. 241–290.
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170:, specializing in geometric representation theory. He is currently a professor at the
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Mirković, I; Uzawa, T; Vilonen, K (1992). "Matsuki correspondence for sheaves".
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The
Intersection Homology D-module on Hypersurfaces with Isolated Singularities
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234:, rising to the rank of Professor in 1996. After that, he was a professor at
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451:"Geometric realization of Whittaker functions and the Langlands conjecture"
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for the academic year 1997/98. In 1998 he was an
Invited Speaker with talk
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226:. Afterward, Vilonen was a Benjamin Pierce Assistant Professor at
878:"Kari Vilonen, Department of Mathematics, Northwestern University"
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from 1986 to 1989. From 1989 to 2000 he was a faculty member at
183:
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Frenkel, E.; Gaitsgory, D.; Vilonen, K. (31 December 2001).
640:
Frenkel, E.; Gaitsgory, D.; Vilonen, K. (31 December 2001).
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Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. II
488:"Two geometric character formulas for reductive Lie groups"
449:
Frenkel, E; Gaitsgory, D; Kazhdan, D; Vilonen, K (1998).
348:(2). Springer Science and Business Media LLC: 403–435.
287:. In 2014, he was awarded a Simons Fellowship from the
1195:
Members of the
Finnish Academy of Science and Letters
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Harvard
University Department of Mathematics faculty
200:-module on Hypersurfaces with Isolated Singularities
934:(2). American Mathematical Society (AMS): 367–417.
652:(2). American Mathematical Society (AMS): 367–417.
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123:
107:
81:
66:
56:
44:
21:
424:"Perverse sheaves and finite-dimensional algebras"
1001:(1). Annals of Mathematics, Princeton U: 95–143.
903:"Humboldt researcher award winner coming to MPIM"
714:(1). Annals of Mathematics, Princeton U: 95–143.
1106:"2020 Laureate Profile: Professor Kari Vilonen"
1146:"Topological methods in representation theory"
550:by K. Vilonen". In J. Adams; D. Vogan (eds.).
1230:Massachusetts Institute of Technology fellows
1215:Academic staff of the University of Melbourne
989:Mirković, Ivan; Vilonen, Kari (1 July 2007).
702:Mirković, Ivan; Vilonen, Kari (1 July 2007).
675:Frenkel, E; Gaitsgory, D; Vilonen, K (2002).
8:
1190:Academic staff of the University of Helsinki
965:"Love and Math: The Heart of Hidden Reality"
928:Journal of the American Mathematical Society
646:Journal of the American Mathematical Society
316:Topological methods in representation theory
548:Geometric methods in representation theory
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1006:
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751:. International Press. pp. 397–420.
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326:. In 2004 he was elected a member of the
1210:Finnish expatriates in the United States
486:Schmid, Wilfried; Vilonen, Kari (1998).
320:International Congress of Mathematicians
220:Mathematical Sciences Research Institute
924:"On the geometric Langlands conjecture"
827:
677:"On the geometric Langlands conjecture"
642:"On the geometric Langlands conjecture"
1064:: CS1 maint: archived copy as title (
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328:Finnish Academy of Science and Letters
216:Massachusetts Institute of Technology
7:
908:Max Planck Institute for Mathematics
552:Representation theory of Lie groups
839:"Curriculum Vitae of Kari Vilonen"
749:Frontiers in Mathematical Sciences
14:
441:10.1090/S0002-9947-1994-1135104-3
16:Finnish mathematician (born 1955)
1220:Finnish expatriates in Australia
1124:John Simon Guggenheim Foundation
29:
1185:Northwestern University faculty
1080:"Simons Fellows in Mathematics"
261:for curves over finite fields.
218:, on leave in 1984–1985 at the
300:Australian Laureate Fellowship
238:, and then a professor at the
1:
941:10.1090/s0894-0347-01-00388-5
866:Mathematics Genealogy Project
694:10.1090/S0894-0347-01-00388-5
659:10.1090/s0894-0347-01-00388-5
523:10.1090/S0894-0347-98-00275-6
478:10.1090/S0894-0347-98-00260-4
969:Institute for Advanced Study
306:Awards and keynote addresses
283:In 2013, Vilonen received a
257:, he proved the geometrical
1180:Brandeis University faculty
798:10.4007/annals.2014.180.2.4
296:Australian Research Council
48:1955 (age 68–69)
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1018:10.4007/annals.2007.166.95
731:10.4007/annals.2007.166.95
196:The Intersection Homology
579:The Annals of Mathematics
212:C. L. E. Moore instructor
166:(born 1955) is a Finnish
135:
74:
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963:Frenkel, Edward (2014).
387:Inventiones Mathematicae
342:Inventiones Mathematicae
210:From 1983 to 1986 was a
182:He received in 1983 his
1175:Brown University alumni
546:Vilonen, Kari (2000). "
236:Northwestern University
172:University of Melbourne
102:University of Melbourne
94:Northwestern University
1170:Finnish mathematicians
1144:Vilonen, Kari (1998).
428:Trans. Amer. Math. Soc
240:University of Helsinki
98:University of Helsinki
995:Annals of Mathematics
776:Annals of Mathematics
708:Annals of Mathematics
334:Selected publications
259:Langlands conjecture
224:Berkeley, California
155:/554939-kari-vilonen
1152:. pp. 595–604.
767:2012arXiv1206.5547S
601:2000math......5305S
570:2004math.....10032V
514:1998math......1081S
422:Vilonen, K (1994).
399:1992InMat.109..231M
354:1986InMat..84..403M
298:awarded Vilonen an
232:Brandeis University
164:Kari Kaleva Vilonen
90:Brandeis University
681:J. Amer. Math. Soc
585:(3). JSTOR: 1071.
492:J. Amer. Math. Soc
455:J. Amer. Math. Soc
407:10.1007/BF01232026
362:10.1007/bf01388812
278:Satake isomorphism
264:In 2004, Vilonen,
228:Harvard University
86:Harvard University
1084:Simons Foundation
312:Guggenheim Fellow
289:Simons Foundation
192:Robert MacPherson
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130:Robert MacPherson
76:Scientific career
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1120:"Kari Vilonen"
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1108:. 6 July 2020.
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255:Edward Frenkel
249:In 2002, with
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82:Institutions
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23:Kari Vilonen
1200:1955 births
70:Mathematics
39:in 2016.jpg
37:Oberwolfach
35:Vilonen at
1164:Categories
1051:2020-08-09
888:2018-03-23
822:References
1027:0003-486X
950:0894-0347
806:0003-486X
789:1209.5124
758:1206.5547
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370:0020-9910
244:Australia
178:Education
1129:9 August
1090:9 August
1060:cite web
974:9 August
814:56382698
153:/profile
147:.unimelb
864:at the
847:July 8,
763:Bibcode
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597:Bibcode
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318:at the
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1003:arXiv
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753:arXiv
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