Conference Geometry, Groups and Topology 2013, Octobre 7th - Octobre 11th in Karlsruhe

In a narrow sense geometric group theory (GGT) is the study of finitely generated groups as geometric objects (via Cayley graphs).

Our point of view is a broader one. Following a long tradition from Poincaré and Klein to Tits and Gromov, we understand GGT as the investigation of groups via their actions on suitable geometric spaces and vice versa. Prototypes of such interactions are:

• arithmetic groups acting on symmetric spaces or buildings,
• mapping class groups acting on Teichmüller spaces,
• Lie transformation groups acting on Riemannian manifolds and Alexandrov spaces.

A fascinating aspect of GGT is the variety of involved questions and techniques steming from such different fields as algebra, differential and algebraic geometry, Lie groups, topology, ergodic theory and probability. This interdisciplinary flavor of GGT has given rise to a rich circle of ideas and connections.

HDoz. Oliver Baues
Prof. Dr. Frank Herrlich
PD Dr. Stefan Kühnlein
Prof. Dr. Enrico Leuzinger
PD Dr. Gabriele Link
Prof. Dr. Roman Sauer
Prof. Dr. Claus-Günther Schmidt
Prof. Dr. Wilderich Tuschmann
JProf. Dr. Gabriela Weitze-Schmithüsen

Teichmüller Theory, Algebraic Curves, Moduli Spaces, Veech Groups, Translation Surfaces, Outer Space, Group Actions on Trees, -adic Uniformisation.

Buildings, Locally Symmetric Spaces, Discrete Subgroups of Lie Groups, Arithmetic Groups, Kähler Manifolds, Ergodic Theory, Moduli Spaces.

Arithmetic Geometry, Automorphic Representations, Arithmetic of -Functions.

Global Differential Geometry and Geometric Topology, in particular
Riemannian manifolds with Lower Curvature Bounds, Moduli Spaces of
Riemannian Metrics, Lie Transformation Groups.

The geometric group theory seminar takes place on Tuesday, 15:45 - 17:15 in 1C-03.
Please find more information on the GGT-seminar page.

• Karlsruher Christmas-Workshops in Geometry and Number Theory (anually since 2002)
• Süd-West-Arithmetik-Seminar (anually since 2009)
• Heidelberg-Karlsruhe-Strasbourg Geometry Day I, 18 January 2013
• GGT-Conference 2013, October 7th - 11th, 2013

• Carl-Zeiss-Stiftungsjuniorprofessur für Geometrische Gruppentheorie.
• Land Baden-Württemberg und KIT Research Seed Capital: Teilprojekt Culler-Vogtmann Outer Space und - eine Synthese von geometrischen und algorithmischen Zugängen über 15 Monate gefördert (2009/2010) (Weitze-Schmithüsen).
• Eliteprogramm für Postdoktorandinnen und Postdoktoranden der Landesstiftung Baden-Württemberg: Teilprojekt Mit Origamis zu Teichmüller-Kurven im Modulraum (2007-2009) (Weitze-Schmithüsen).
• DFG-Forschungsprogramm 1154 Globale Differentialgeometrie: Teilprojekt Geometric structures on aspherical manifolds (Baues). Teilprojekt Ergodic geometry in nonpositive curvature (Link).
• DFG-Forschungsprogramm 1154 Teilprojekt Nonnegative and Almost Nonnegative Curvature (Tuschmann).