@inproceedings{468ac41b4d0743b697d1171f8e7ea08a,
title = "Compactifications of s-arithmetic quotients for the projective general linear group",
abstract = "Let F be a global field, let S be a nonempty finite set ofplaces of F which contains the archimedean places of F, let d ≥ 1, and let X =v∈S Xv where Xv is the symmetric space (resp., Bruhat-Tits building) associated to PGLd (Fv) if v is archimedean (resp., non-archimedean). In this paper, we construct compactifications Γ\textbackslash{} ¯X of the quotient spaces Γ\textbackslash{}X for S-arithmetic subgroups Γ of PGLd (F). The constructions make delicate use of the maximal Satake compactification of Xv (resp., the polyhedral compactification of Xv of G{\'e}rardin and Landvogt) for v archimedean (resp., non-archimedean). We also consider a variant of ¯X in which we use the standard Satake compactification of Xv (resp., the compactification of Xv due to Werner).",
keywords = "MSCs, Primary 14M25, Secondary 14F20",
author = "Takako Fukaya and Kazuya Kato and Romyar Sharifi",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016; Conference on Elliptic Curves, Modular Forms and Iwasawa Theory, held in honour of the 70th birthday of John H. Coates, 2015 ; Conference date: 25-03-2015 Through 27-03-2015",
year = "2016",
doi = "10.1007/978-3-319-45032-2\_5",
language = "English (US)",
isbn = "9783319450315",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer New York LLC",
pages = "161--223",
editor = "David Loeffler and Zerbes, \{Sarah Livia\}",
booktitle = "Elliptic Curves, Modular Forms and Iwasawa Theory",
}