In recent years, the development of analytic tools to study geometric questions in metric spaces beyond Riemannian manifolds has seen tremendous progress and led to many structural results which shed a new light even on classical questions. The goal of this HIM program is to further refine such tools and explore their applications, like the study of filling invariants, norms, volumes, energies, in various concrete geometric frameworks.
The program aims at bringing together researchers in analysis on metric spaces, geometric group theory, differential geometry, higher Teichmüller theory and low dimensional topology to isolate and enhance common core ideas and tie these strands to a more global theory, geared at making progress towards some well established open problems.
Link to Trimester Program website
Scientific Organizers:
- Ursula Hamenstädt (University of Bonn)
- Yevgeny Liokumovich (University of Toronto)
- Andrea Mondino (University of Oxford)
- Stephan Stadler (MPIM Bonn)
- Stefan Wenger (Université de Fribourg)
- Robert Young (NYU)
Trimester Program Events:
- Introductory Winter School "Analysis and geometry on groups and spaces" (January 27-31)
- International Conference "Differential geometry beyond Riemannian manifolds” (March 24-28)
- Felix Klein Lectures (March 31 to April 11)