Ting Xue

Character sheaves for graded Lie algebras: Stable gradings

K Vilonen, T Xue

Journal article  |  2023  |  Advances in Mathematics

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

Journal article  |  2023  |  Transactions of the American Mathematical Society

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

NEARBY CYCLE SHEAVES FOR SYMMETRIC PAIRS

M Grinberg, K Vilonen, T Xue

Journal article  |  2023  |  American Journal of Mathematics

We present a nearby cycle sheaf construction in the context of symmetric spaces. This construction can be regarded as a replacemen..

CHARACTER SHEAVES FOR CLASSICAL SYMMETRIC PAIRS

K Vilonen, T Xue, D Stanton

Journal article  |  2022  |  Representation Theory

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

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..

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..

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..

Springer Correspondence for Exceptional Lie Algebras and their Duals in Small Characteristic

Ting Xue

Journal article  |  2017  |  JOURNAL OF LIE THEORY

We describe the Springer correspondence explicitly for exceptional Lie algebras of type G2 and F4 and their duals in bad character..

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..