5 papers
Reductive monoids over general base
Jingren Chi, Simon Jacques
We develop a theory of affine algebraic monoids over general base schemes whose unit groups are split reductive groups. Our main result is a classification theorem for such objects…
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. Similar to the approach of Goresky-Kottwitz-MacPherson in the equal ch…
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…
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…