1 citations · 1 across the 7 of their papers we have counts for
9 papers
Quantized integral models of reductive monoids
Jingren Chi, Simon Jacques
We construct quantized integral models of reductive monoids and establish their finite-generation properties. We also describe the quantized coordinate rings of the basic affine sp…
Classification of reductive monoids
Jingren Chi
We classify reductive monoids over arbitrary base schemes by descent from the split classification in arXiv:2607.00322. For a reductive group scheme , we construct its sheaf of…
Reductive monoids over general base
Jingren Chi, Simon Jacques
We develop a theory of affine algebraic monoids over connected base schemes whose unit groups are split reductive groups. Our main result is a classification theorem for such objec…
Equivalued affine springer fibers in mixed characteristic
Jingren Chi
We study Witt-vector affine Springer fibers for tame equi-valued conjugacy classes in tamely ramified groups. Following the approach of Goresky-Kottwitz-MacPherson in the equal cha…
An overview of the geometry of Kottwitz-Viehmann varieties
Jingren Chi
This is an update of an expository article on the geometrization of orbital integrals of spherical Hecke functions on reductive groups over non-archimedean local fields, appeared i…
On the cohomology of simple Shimura varieties with non quasi-split local groups
Jingren Chi, Thomas J. Haines
We study the Scholze test functions for bad reduction of simple Shimura varieties at a prime where the underlying local group is any inner form of a product of Weil restrictions of…
Witt vector affine Springer fibers
Jingren Chi
We establish dimension formulas for the Witt vector affine Springer fibers associated to a reductive group over a mixed characteristic local field, under the assumption that the gr…
Geometry of Kottwitz-Viehmann Varieties
Jingren Chi
We study basic geometric properties of Kottwitz-Viehmann varieties, which are certain generalizations of affine Springer fibers that encode orbital integrals of spherical Hecke fun…
The geometry of some generalized affine Springer fibers
Jingren Chi
We study basic geometric properties of some group analogue of affine Springer fibers and compare with the classical Lie algebra affine Springer fibers. The main purpose is to formu…