Title: Complexity of actions over perfect fields Abstract: Let K be a field, let G be a reductive K-group and let X be a G-variety. When K is algebraically closed, Brion and Vinberg proved independently that a Borel subgroup of G has finitely many orbits in X iff it has an open orbit (i.e. X […]
Title: Review of geometric local Langlands for GL1 in mixed characteristic and an introduction to Banach Colmez Spaces. Reference: Hansen's Beijing Lecture Notes on Categorical Local Langlands & Fargues-Scholze.