Real groups, Hodge theory, and the Langlands program

Character sheaves for graded Lie algebras: Stable gradings

K Vilonen, T Xue

2023-03-15

In this paper we construct full support character sheaves for stably graded Lie algebras. Conjecturally these are precisely the cu..

CHARACTER SHEAVES FOR SYMMETRIC PAIRS: SPECIAL LINEAR GROUPS

K Vilonen, T Xue

2023-02-01

We give an explicit description of character sheaves for the symmetric pairs associated to inner involutions of the special linear..

CHARACTER SHEAVES FOR CLASSICAL SYMMETRIC PAIRS

K Vilonen, T Xue, D Stanton

2022-01-01

We establish a Springer theory for classical symmetric pairs. We give an explicit description of character sheaves in this setting..

Koszul duality for quasi-split real groups

Roman Bezrukavnikov, Kari Vilonen

2021-05-31

HESSENBERG VARIETIES, INTERSECTIONS OF QUADRICS, AND THE SPRINGER CORRESPONDENCE

Tsao-Hsien Chen, Kari Vilonen, Ting Xue

2020-04-01

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

2020-01-01

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