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shupp_01

Prof. Dr. Bachir Bekka, Université de Rennes I, Vortrag: Dynamics of groups of affine transformations of homogeneous spaces

Donnerstag, 02.06.2016 16:30 im Raum M5
Mathematik und Informatik

Abstract : Interesting examples of group actions on measure spaces are given by actions on homogeneous spaces. The setting is as follows. Let G be a locally compact group (often a Lie group or a linear algebraic group) and H a lattice in G. Every group of affine transformations of G preserving H acts on the homogeneous space G/H in a measure preserving way. We will discuss some questions concerning these actions, such as ergodicity, existence of a spectral gap or strong ergodicity (in the sense of K. Schmidt). The results we will present concern two classes of groups, requiring different approaches: the case where G is semisimple and the acting group a consists of translations and the case where G is nilpotent and the acting group consists of automorphisms.



Angelegt am Dienstag, 05.04.2016 10:53 von shupp_01
Geändert am Montag, 09.05.2016 14:10 von shupp_01
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Kolloquium Wilhelm Killing