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Probability, Dynamics and the Geometry of Groups

September 9 - September 13, 2024

Münster, Germany

Synopsis

The last several years have witnessed a significant intensification of the connections between probability (e.g., random walks and percolation) and ergodic theory, especially in treating questions that relate dynamical behaviour with analytic and geometric properties of groups such as amenability, property (T), and the Haagerup property. The meeting will serve to further strengthen these connections by promoting interaction between different communities of researchers.

Organizational details

If you are interested in participating, or for general inquiries, please contact David Kerr , or Chiranjib Mukherjee . An online Registration link can be found below.

Confirmed Speakers

Schedule

The scientific programme will start on September 9, 2024 and will end on September 13, 2024. Abstracts can be found in the conference booklet.

Monday

8:30-9:10 Registration
 
9:10-9:50 Miklos Abert
Growth and Walks on Unimodular Random Trees
 
10:00-10:30 Coffee
 
10:30-11:10 Damien Gaboriau
Dynamics on the Space of Subgroups
11:20-12:00 Anush Tserunyan
Weak Mixing of Markov Measures on the Boundary of Free Groups
 
12:00-14:00 Lunch
 
14:00-14:40 Indira Chatterji
The Rapid Decay Property and 3-Manifold Groups
14:50-15:20 Coffee
 
15:20-16:00 Gabor Pete
Nonamenable Poisson Zoo
16:10- 16:50 Konstantin Recke
Percolation and the Geometry of Groups and Graphs
17:00- open end open end, wine and cheese reception

Tuesday

9:10-9:50 Tatiana Nagnibeda
Benjamini-Schramm and Spectral Convergence of Rauzy Graphs
 
10:00-10:30 Coffee
 
10:30-11:10 Robin Tucker-Drob
Measure Equivalence of Baumslag-Solitar Groups
11:20-12:00 Pierre-Francois Rodriguez
Critical Phenomena for Percolation Models with Long-Range Dependence
 
12:00-14:00 Lunch
 
14:00-14:40 Sam Mellick
The Ideal Poisson Voronoi Tessellation of $H^2\times H^2$
 
14:50-15:20 Coffee
 
15:20-16:00 Andreas Thom
On Non-Isomorphic Universal Sofic Groups
16:10- 16:50 Russell Lyons
Ideal Voronoi Tessellations in Groups and in Hyperbolic Space

Wednesday

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9:10-9:50 Eduardo Silva
The Poisson Boundary of Wreath Products
 
10:00-10:30 Coffee
 
10:30-11:10 Mahan Mj.
Ising Model on Hyperbolic Groups
11:20-12:00 Luzie Kupffer
Bi-infinite Random Walk Paths and Geodesic Flow on Hyperbolic Groups


12:00-14:00 Lunch


18:30 Conference dinner, Mövenpick Hotel

Thursday

9:10-9:50 Romain Tessera
Classification of Nilpotent Groups up to Integrable Measure Equivalence


10:00-10:30 Coffee


10:30-11:10 Jenna Zomback
Cayley Spherical Polish Groups
11:20-12:00 Rotislav Grigorchuk
The Collatz map, Self-Similar Groups, Automorphisms of Rooted Trees, and Ergodic Decomposition


12:00-14:00 Lunch


14:00-14:40 Amandine Escalier
Measure and Orbit Equivalence of Graph Products


14:50-15:20 Coffee


15:20-16:00 Benjamin Hayes
Coamenability and Cospectral Radius for Equivalence Relations
16:10- 16:50 Cornelia Drutu
Combings, Local-to-Global Properties and Divergence

Friday

9:10-9:50 Nathanael Berestycki
On the Cover Time of Random Walks on Graphs
 

10:00-10:30 Coffee
 

10:30-11:10 Subhajit Goswami
Roughness of Geodesics in Liouville Quantum Gravity
11:20-12:00 Gady Kozma
Some Applications of the Olashanskii-Osin-Shapir Construction

Venue

The workshop takes place in a seminar center next to the Department of Mathematics and Computer Science in Münster which is located at (Google Maps):

Einsteinstrasse 62
48149 Münster
Germany

The address of the seminar center itself is Orleansring 12, but the building is not yet visible on many maps since it is new. The conference takes place in room SRZ 217 on the second floor.

Travel

The University of Münster is located in Münster, Germany. (An alternative spelling of Münster is Muenster - note that this is different from Munster, Germany!)

The airport Münster-Osnabrück (FMO) is located 30 km from Münster. Shuttle service by bus to Münster central station is available (45 min). The international airport Düsseldorf (DUS) offers a variety of international flights. The train ride to Münster central station takes 90 minutes. Details about connecting trains are available at bahn.de.

Münster is well connected by train. For details see bahn.de.

Registration

Please register using THIS LINK.

Support and Child Care

Child care will be available free of charge for all participants of this event.

Sponsor

This event is financed by the Cluster of Excellence Mathematics Münster as well as by the Collaborative Research Centre 1442 Geometry: Deformations and Rigidity .

Organizing Committee

  • David Kerr
  • Chiranjib Mukherjee
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