Counting points of schemes over finite rings and counting representations of arithmetic lattices
Sign Up to like & getrecommendations! Published in 2018 at "Duke Mathematical Journal"
DOI: 10.1215/00127094-2018-0021
Abstract: We relate the singularities of a scheme $X$ to the asymptotics of the number of points of $X$ over finite rings. This gives a partial answer to a question of Mustata. We use this result… read more here.
Keywords: points schemes; representations arithmetic; arithmetic lattices; finite rings ... See more keywords
Arithmetic lattices in unipotent algebraic groups
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Group Theory"
DOI: 10.1515/jgth-2019-0112
Abstract: Abstract Fixing an arithmetic lattice Γ in an algebraic group G, the commensurability growth function assigns to each n the cardinality of the set of subgroups Δ with [ Γ : Γ ∩ Δ ]… read more here.
Keywords: lattices unipotent; arithmetic lattices; unipotent algebraic; group ... See more keywords