Dynamical systems, or flows, on geometric spaces play important roles in a wide range of areas inside and outside mathematics. For example,
- Hamiltonian flows on symplectic manifolds describe classical mechanics;
- geodesic flows lie at the heart of Riemannian geometry and general relativity.
The interplay between such flows and the geometry and topology of the underlying spaces is of crucial importance. The geometric or topological structure of a space may determine properties of the possible flows on the space. Conversely, flows may be used to probe the geometry and topology of a space.
A key tool is the use of dynamical zeta-functions, which encode information about a flow. For example, the Ruelle dynamical zeta-function 'counts' periodic orbits, and is linked to the topology of the underlying space via the Fried conjecture.
There are several ways to approach the study of geometric dynamical systems and related zeta-functions. These include
- the analytic approach, using microlocal analysis;
- the group-theoretic approach, exploiting the symmetries of a given geometric space.
The goal of this meeting is to bring together leading and emerging researchers on the different aspects of geometric dynamical systems, and to allow them to combine their different perspectives to take the field further.
Participation is free, but registration is mandatory. The deadline for registration is 1 May 2026.
Speakers
- Amina Abdurrahman (IHES)
- Sebastian Goette (U. Freiburg)
- Bingxiao Liu (U. Cologne) - to be confirmed
- Ursula Ludwig (U. Côte d'Azur, Nice)
- Werner Müller (U. Bonn)
- Yanli Song (Washington U., St Louis)
- Polyxeni Spilioti (U. Patras, Athens)
- Dalia Terhesiu (U. Leiden)
- Boris Vertman (U. Oldenburg)
- Michal Wrochna (U. Utrecht)
More speakers to be confirmed.
