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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…
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…