Kari Vilonen

Koszul duality for quasi-split real groups

Roman Bezrukavnikov, Kari Vilonen

Journal article  |  2021  |  INVENTIONES MATHEMATICAE

HESSENBERG VARIETIES, INTERSECTIONS OF QUADRICS, AND THE SPRINGER CORRESPONDENCE

Tsao-Hsien Chen, Kari Vilonen, Ting Xue

Journal article  |  2020  |  TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

In this paper we introduce a certain class of families of Hessenberg varieties arising from Springer theory for symmetric spaces. ..

Springer correspondence, hyperelliptic curves, and cohomology of Fano varieties

Tsao-Hsien Chen, Kari Vilonen, Ting Xue

Journal article  |  2020  |  Mathematical Research Letters

In [CVX3] (T. H. Chen, K. Vilonen, and T. Xue, “Springer correspondence for the split symmetric pair in type A”, Compos. Math. 154..

Cartan Theorems for Stein Manifolds Over a Discrete Valuation Base

Jari Taskinen, Kari Vilonen

Journal article  |  2019  |  JOURNAL OF GEOMETRIC ANALYSIS

Let X be a complex manifold, let A be a topological discrete valuation ring, and write [InlineEquation not available: see fulltext..

Springer correspondence for the split symmetric pair in type A

Tsao-Hsien Chen, Kari Vilonen, Ting Xue

Journal article  |  2018  |  COMPOSITIO MATHEMATICA

In this paper we establish Springer correspondence for the symmetric pair using Fourier transform, parabolic induction functor, an..

Geometric Langlands duality and representations of algebraic groups over commutative rings (vol 166, pg 95, 2007)

I Mirkovic, K Vilonen

Journal article  |  2018  |  ANNALS OF MATHEMATICS

Erratum: Geometric Langlands duality and representations of algebraic groups over commutative rings [Annals of Mathematics, 188, 3, (2018) (1017-1018)] Doi: 10.4007/annals.2007.166.95

I Mirkovic, K Vilonen

Journal article  |  2018  |  Annals of Mathematics

Remark. There are a few other places in the paper where things are not said quite correctly or where the arguments are too brief. ..

On the cohomology of Fano varieties and the Springer correspondence

Tsao-Hsien Chen, Kari Vilonen, Ting Xue, Dennis Stanton

Journal article  |  2017  |  ADVANCES IN MATHEMATICS

In this paper we compute the cohomology of the Fano varieties of k-planes in the smooth complete intersection of two quadrics in P..

THE NULL-CONE AND COHOMOLOGY OF VECTOR BUNDLES ON FLAG VARIETIES

Kari Vilonen, Ting Xue

Journal article  |  2016  |  REPRESENTATION THEORY

We study the null-cone of a semi-simple algebraic group acting on a number of copies of its Lie algebra via the diagonal adjoint a..

Arbeitsgemeinschaft: The Geometric Langlands Conjecture

Laurent Fargues, Dennis Gaitsgory, Peter Scholze, Kari Vilonen

Journal article  |  2016  |  Oberwolfach Reports