100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Corina Ciobotaru

``Strongly regular hyperbolic elements and their applications to buildings''
Friday, 21 February, 2014 - 10:30
Résumé : 
The first part of my talk gives a brief introduction to Euclidean buildings. In the second part, I introduce the new notion of a strongly regular hyperbolic automorphism of a locally finite Euclidean building X and I prove two main properties of such an element: the existence and the peculiar dynamics on the spherical building at infinity of X. Those properties are used in the third part where some applications are presented:  the characterization of Gelfand pairs in the setting of Euclidean buildings, Gromov's flat closing problem and the construction of non-abelian free automorphisms subgroups for general buildings. Some of these results are joint work with Pierre-Emmanuel Caprace.
Institution de l'orateur : 
Louvain
Thème de recherche : 
Topologie
Salle : 
4
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