منابع مشابه
Groups to Symmetric Spaces
This paper is based on a talk given at the conference ”Representation theory of real reductive groups”, Salt Lake City, July 2009. We fix an algebraically closed field k of characteristic exponent p. (We assume, except in §17, that either p = 1 or p ≫ 0.) We also fix a symmetric space that is a triple (G, θ,K) where G is a connected reductive algebraic group over k, θ : G −→ G is an involution ...
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The most powerful geometric tools are those of differential geometry, but to apply such techniques to finitely generated groups seems hopeless at first glance since the natural metric on a finitely generated group is discrete. However Gromov recognized that a group can metrically resemble a manifold in such a way that geometric results about that manifold carry over to the group [18, 20]. This ...
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We show that any finitely generated group quasi-isometric to complex hyperbolic space is a finite extension of a properly discontinuous, cocompact subgroup of the isometry group.
متن کاملFrom Groups to Symmetric Spaces
This paper is based on a talk given at the conference ”Representation theory of real reductive groups”, Salt Lake City, July 2009. We fix an algebraically closed field k of characteristic exponent p. (We assume, except in §18, that either p = 1 or p ≫ 0.) We also fix a symmetric space that is a triple (G, θ,K) where G is a connected reductive algebraic group over k, θ : G −→ G is an involution ...
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In this article we survey recent progress on quasi-isometric rigidity of polycyclic groups. These results are contributions to Gromov’s program for classifying finitely generated groups up to quasi-isometry [Gr2]. The results discussed here rely on a new technique for studying quasi-isometries of finitely generated groups, which we refer to as coarse differentiation. We include a discussion of ...
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ژورنال
عنوان ژورنال: Communications in Analysis and Geometry
سال: 2001
ISSN: 1019-8385,1944-9992
DOI: 10.4310/cag.2001.v9.n2.a1