Math @ Duke

Publications [#244104] of Leslie Saper
Papers Published
 Saper, L, ℒmodules and the conjecture of Rapoport and GoreskyMacpherson,
in Formes Automorphes (I) — Actes du Semestre du Centre Émile Borel, printemps 2000, edited by Tilouine, J; Carayol, H; Harris, M; Vignéras, MF, vol. 298 no. 298
(2005),
pp. 319334, ISSN 03031179, ISBN 2856291724
(last updated on 2020/02/21)
Abstract: Consider the middle perversity intersection cohomology groups of various compactifications of a Hermitian locally symmetric space. Rapoport and independently Goresky and MacPherson have conjectured that these groups coincide for the reductive BorelSerre compactification and the BailyBorelSatake compactification. This paper describes the theory of ℒmodulcs and how it is used to solve the conjecture. More generally we consider a Satake compactification for which all real boundary components are equalrank. Details will be given elsewhere, As another application of ℒmodules, we prove a vanishing theorem for the ordinary cohomology of a locally symmetric space. This answers a question raised by Tilouine.


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