Focus Programmes

Current Focus Programme

Effective and dynamic behaviour of random structures

July 2022 - March 2023

This Focus Programme addresses probability theory and its interplay with analysis and mathematical physics. Topics include Gaussian multiplicative chaos and Liouville quantum gravity, renormalization theory, stochastic partial differential equations, stochastic approximation for neural networks, optimal transport, branching random walks, random polytopes, random graphs.

Conferences and Workshops:

Organisers:

Gerold Alsmeyer, Steffen Dereich, Anna Gusakova, Martin Huesmann, Arnulf Jentzen, Zakhar Kabluchko, Matthias Löwe, Chiranjib Mukherjee, André Schlichting, Christian Seis, Angela Stevens, Raimar Wulkenhaar, Caterina Zeppieri

Photos

Quantum many body systems and interacting particles, June 2022
Quantum many body systems and interacting particles, June 2022
© MM/vl
  • Open Japanese-German conference on stochastic analysis and applications, September 2022
    © MM/vl
  • Open Japanese-German conference on stochastic analysis and applications, September 2022
    © MM/vl
Upcoming Focus Programme 2023

Actions of totally disconnected, locally compact groups on discrete strutures

September - October 2023

This Focus Programme  will bring together leading experts on t.d.l.c. groups, profinite groups and geometric group theory to improve our understanding of t.d.l.c. groups through their actions on discrete structures, and to facilitate the cross-fertilisation of ideas.

Conferences and Workshops:

  • 4 - 8 September 2023: Part I, Summerschool

  • 11 - 19 September 2023: Part II, Workshop

  • 9 - 13 October 2023: Part III, Workshop

Previous Focus Programmes

Geometry and PDEs: from theory to applications

September - November 2021

This Focus Programme aims to connect the fields of differential geometry, metric geometry, PDEs, calculus of variations, data science and numerics. We will study geometric flows, geometric viewpoints on PDEs and data, as well as measure-based generalizations of geometric notions.

Conferences and Workshops:

Organisers:

Christoph Böhm, Manuel Friedrich, Hans-Joachim Hein, Gustav Holzegel, Martin Huesmann, Joachim Lohkamp, Stephan Luckhaus, Christian Seis, Anna Siffert, Burkhard Wilking, Benedikt Wirth, Caterina Zeppieri

Coordinators:

Christoph Böhm
Benedikt Wirth

Photos

Workshop on Curvature and Global Shape, August 2021
Workshop on Curvature and Global Shape, August 2021
© MM/vl
  • Talk by Ursula Hamenstädt, Workshop on Curvature and Global Shape, August 2021
    © MM/vl
  • Analysis on singular spaces, September 2021
    © MM/vl
  • Talk by Karl-Theodor Sturm, Analysis on singular spaces, September 2021
    © MM/vl
  • New Trends in Geometric PDEs, November 2021
    © MM/vl
  • Talk by Cécile Huneau, New Trends in Geometric PDEs, November 2021
    © MM/vl

Operator algebras and topological dynamics: amenability and beyond

© Focus Programme Operator algebras and topological dynamics
Summer 2021

This is a Focus Programme on operator algebras and their interplay with group actions. In this context we will be interested in amenable structures and their many incarnations, and in rigidity phenomena which typically arise as soon as one leaves the amenable setup.

Conferences and Workshops:

Organisers:

Kristin Courtney, Tim de Laat, Siegfried Echterhoff, Eusebio Gardella, Wilhelm Winter

Photos

Interactions between expanders, groups and operator algebras, June 2021
Interactions between expanders, groups and operator algebras, June 2021
© MM
  • Groups meet C*-algebras, June - July 2021
    © MM/vl
  • Cuntz semigroups Workshop, July 2021
    © MM
  • Young Mathematicians in C*-Algebra, August 2021, week 1
    © MM/vl
  • Young Mathematicians in C*-Algebra, August 2021, week 2
    © MM/vl