Focus Programmes

Effective and dynamic behaviour of random structures

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:

• 20 - 24 June 2022: Quantum many body systems and interacting particles
• 23 - 29 September 2022: Stochastic analysis and applications
• 27 - 31 March 2023: Random discrete structures

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

Geometry and PDEs: from theory to applications

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:

• 1-7 August 2021: Workshop on Curvature and Global Shape
• 20-24 September 2021: Analysis on singular spaces
• 1-5 November 2021: New Trends in Geometric PDEs

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

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Operator algebras and topological dynamics: amenability and beyond

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:

• 7-10 June 2021: Interactions between expanders, groups and operator algebras
• 28 June - 9 July 2021: Groups meet C*-algebras, in honour of Siegfried Echterhoff’s 60th birthday
• 12-16 July 2021: Cuntz semigroups Workshop
• 2-13 August 2021: Young Mathematicians in C*-Algebra

Organisers:

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

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