Geometry in Non-Positive Curvature and Kähler Groups

Explore advanced topics in geometric group theory through this 10-hour conference recording featuring leading mathematicians discussing recent developments in non-positive curvature geometry and Kähler groups. Delve into cutting-edge research presented at the 3-day conference held at Institut des Hautes Etudes Scientifiques, celebrating Thomas Delzant's contributions to the field. Learn from expert presentations covering diverse topics including group actions on Poisson boundaries, complex geometry and higher finiteness properties, random foldings of pentagons, asymptotic dimension of polynomial growth graphs, measure equivalence rigidity for Out(Fn), unsolved problems in the field, positivity in flag manifolds, connections between hyperbolic and median geometry, automorphisms of groups with higher rank JSJ decomposition, and subgroups of direct products of surface groups. Gain insights into the intersection of hyperbolic geometry, Kähler geometry, and geometric group theory from renowned researchers including Anna Erschler, Pierre Py, Serge Cantat, Panagiotis Papasoglu, Vincent Guirardel, Misha Gromov, Olivier Guichard, Cornelia Drutu, Zlil Sela, and Martin Bridson.

Syllabus

Anna Erschler - Action of groups on the Poisson boundary
Pierre Py - Complex geometry and higher finiteness properties of groups
Serge Cantat - Random foldings of pentagons
Panagiotis Papasoglu - Asymptotic dimension of graphs of polynomial growth and systolic inequalities
Vincent Guirardel - Measure equivalence rigidity for Out(Fn) and dynamical decomposition
Misha Gromov - Still unsolved problems
Olivier Guichard - Positivity in flag manifolds and positive representations
Cornelia Drutu - Connections between hyperbolic geometry and median geometry
Zlil Sela - Automorphisms of groups and a higher rank JSJ decomposition
Martin Bridson - Subgroups of direct products of surface groups