Mathematics Münster

Dynamics - Geometry - Structure

Mathematics is a key technology for scientific and economic progress. New discoveries in mathematics are not only interesting in themselves, but they often lead to unexpected breakthroughs in other sciences as well.

We will tackle fundamentally important mathematical problems, viewing mathematics as an organic whole with countless interactions. The research in our Cluster of Excellence "Mathematics Münster" is unified by three major approaches: focusing on the underlying structure of a given problem, taking the geometric viewpoint and studying the relevant dynamics of group or semigroup actions. The theories which we will build will not only solve the problems under consideration but also many others of a similar nature; these theories will also raise exciting new questions.

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New Young Research Fellow: Priyanga Ganesan

We welcome Dr. Priyanga Ganesan as a new Young Research Fellow at our Cluster. She holds a prestigious President’s Postdoctoral Fellowship at the University of California San Diego. Her research interest revolves around operator algebras and their connections with quantum information theory. During her stay at Mathematics Münster during the 2023 summer semester, she will collaborate with JProf. Dr. Kristin Courtney.

Upcoming Conferences at Mathematics Münster

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C*-Algebras: Tensor Products, Approximation & Classification

17 - 21 July 2023

Since Elliotts classification of approximately finite C*-algebras it is well known that there are strong ties between classification theory and approximation theory for C*-algebras. The full depth of this relation became clear only after the groundbreaking work of Eberhard Kirchberg on tensor products and approximation properties of C*-algebras with astounding applications to (on first sight unrelated) important problems: the Connes embedding problem and the classification of (purely infinite) C*-algebras. The meeting will focus on breathtaking recent advances in these topics due to several young rising stars.

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Workshop on Curvature and Global Shape

31 July - 04 August 2023

The purpose of the meeting is to study relationships between local and global invariants in Riemannian Geometry. Our intention is to bring together experts in the field as well as young mathematicians. We plan to schedule talks from the morning of Monday, 31 July, through the afternoon of Friday, 4 August. The program of the Workshop is structured so that beyond the lectures there will be many opportunities for intensive discussions.

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Analytic Methods in Complex Geometry

7 - 11 August 2023

In the past two years, we have seen spectacular developments in elliptic PDE methods applied to complex geometry. Highlights include the L-infinity estimates for solutions to complex Monge-Ampere equations due to Guo-Phong-Tong and Li's proof of the SYZ conjecture for Fermat hypersurfaces. This conference aims to provide an exciting opportunity for the field to come together (for the first time in Germany!) and discuss and disseminate these recent advances.

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Workshop on Stability, Mixing and Fluid Dynamics

14 - 16 August 2023

Mixing phenomena and the evolution and stability of coherent vortex structures and interfaces play an essential role in the dynamics of fluids. Their study has a direct impact on the understanding of turbulent flows with real-world applications in oceanography, atmospheric dynamics, industrial processes and beyond. The Workshop will explore stability and mixing phenomena from a broad intradisciplinary perspective, including PDE techniques, stochastic differential equations, harmonic analysis, optimal transport,  numerical analysis and modeling aspects.

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Totally disconnected locally compact groups from a geometric perspective

11 - 19 September 2023

Part of the Focus Programme: Actions of totally disconnected locally compact groups on discrete structures

Many discrete geometric structures admit symmetries that are not determined by a finite substructure. This phenomenon is reflected in the non-discreteness of their automorphism group. Conversely, sufficiently non-discrete t.d.l.c. groups admit geometric actions on such structures. This workshop focuses on the above approaches and their interplay.

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Model theory and groups

25 - 29 September 2023

A conference on the occasion of Katrin Tent's 60th birthday

The aim of this conference is to bring together researchers working in model theory and group theory, with a particular view towards geometric group theory.

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Arithmetic Algebraic Geometry

2 - 6 October 2023

A conference on the occasion of Michael Rapoport's 75th birthday

The geometry of moduli spaces related to the Langlands programme is a rapidly evolving field. We bring together both experts and young researchers to foster these developments.

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Totally disconnected locally compact groups: local to global

9 - 13 October 2023

Part of the Focus Programme: Actions of totally disconnected, locally compact groups on discrete structures

This workshop studies the relationship between local, or small-scale, and global, or large-scale, properties of t.d.l.c. groups, which is more subtle than for Lie groups. Small-scale structure, which manifests both in the topological group structure and the objects on which the groups act, interacts with large-scale properties such as simplicity, amenability and quasi-isometry type.