Date: 21 Mar 2011
Publisher: Springer
Original Languages: English
Format: Paperback::496 pages
ISBN10: 0817670408
ISBN13: 9780817670405
File size: 43 Mb
Dimension: 156x 234x 25mm::689g
Download: Compactifications of Symmetric and Locally Symmetric Spaces
Compactifications of Symmetric and Locally Symmetric Spaces download. Smooth compactifications of locally symmetric varieties, Cambridge Mathematical Compactifications of symmetric and locally symmetric spaces, Mathematics: We give a geometric interpretation of the maximal Satake compactification of symmetric spaces X=G/K of noncompact type, showing that it arises attaching the horofunction boundary for a suitable G-invariant Finsler metric on X. As an application, we establish the existence of natural bordifications, as orbifolds-with-corners, of locally symmetric spaces X/ for arbitrary discrete subgroups Smooth Compactifications of Locally Symmetric Varieties - Avner Ash proof, a large proportion of the needed background on hermitian symmetric spaces. In particular the group of isometries acts transitively on the space. We will study the Riemannian geometry of symmetric spaces as well as their connection to the theory of semisimple Lie groups. A preliminary outline of the material covered in the lecture is the following: Generalities on symmetric spaces: locally and globally symmetric spaces download and read online Compactifications of Symmetric and Locally Symmetric Spaces. (Mathematics, Theory & Applications) file PDF Book only if you are We introduce hyperbolic and asymptotic compactifications of metric spaces and apply them to locally symmetric spaces X. We show that the reductive Borel Serre compactification is hyperbolic compactification of a noncompact locally symmetric variety a mixture of the space of constant functions, so that if D is the compact symmetric space dual to. A locally symmetric space is the quotient X of a globally symmetric space X = G/K Various types of cohomology associated to these compactifications are Amazon Compactifications of Symmetric and Locally Symmetric Spaces (Mathematics: Theory & Applications) Amazon In this paper, we construct many compactifications of symmetric spaces using a uniform method, which is motivated the Borel-Serre compactification of locally We recall that D - D is the union of locally closed analytic subsets of the ambient vector space, which are themselves. (equivalent to) bounded symmetric Compactifications of Symmetric and Locally Symmetric Spaces (Mathematics: Theory & Applications). Armand Borel Lizhen Ji Compactifications of Symmetric (bis): Toroidal compactifications of locally symmetric varities The study of locally symmetric spaces lies at the intersection of many fields of
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