Master Class Groups and Geometries

21-25 janv. 2019
CIRM - Luminy Centre International de Rencontres Mathématiques 163 avenue de Luminy, Case 916 13288 Marseille cedex 9, FRANCE Tel: +33 (0)4 91 83 30 00 ​ GPS N43°13'48.182'' E5°26'38.46'' - Marseille (France)

The scientific objective of this Master Class project « Groups and Geometries » is to allow master students and PhD students to discover and develop their knowledge of several aspects of geometric group theory, through 5 mini-courses. Geometric group theory is the general framework to study the interplay between groups and the geometric spaces they act on. The general idea is that groups are actors and they are better understood via their actions. From the geometry of the space, one hope to deduce properties of the group. Conversely, one can construct spaces with a rich and symmetric geometry starting from a group. Moreover, following the ideas of Gromov, a group itself is a geometric objects (by metrizing one of its Cayley Graph) and this metric structure gives new geometric insights. The themes of the 5 mini-courses would be : -Classical hyperbolic geometry -Finitely generated groups as geometric objects -Nonpositively curved spaces -CAT(0) cube complexes -Lattices in Lie groups
Discipline scientifique : Mathématiques - Géométrie différentielle - Théorie des groupes - Géométrie métrique

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