• 2408 - Analysis, Geometry and Topology of Positive Scalar Curvature Metrics 

      [OWR-2024-9] Workshop Report 2024,9 (2024) - (18 Feb - 23 Feb 2024)
      Riemannian metrics with positive scalar curvature play an important role in differential geometry and general relativity. To investigate these metrics, it is necessary to employ concepts and techniques from global analysis, ...
    • 2406 - Applications of Optimal Transportation 

      [OWR-2024-7] Workshop Report 2024,7 (2024) - (04 Feb - 09 Feb 2024)
      The mathematical theory of optimal transportation is constantly expanding its range of application, while applications give impulses for new research directions in the field. This workshop was specifically devoted to ...
    • 2417 - Applied Harmonic Analysis and Data Science 

      [OWR-2024-21] Workshop Report 2024,21 (2024) - (21 Apr - 26 Apr 2024)
      Data science is a field of major importance for science and technology nowadays and poses a large variety of challenging mathematical questions. The area of applied harmonic analysis has a significant impact on such ...
    • 2414 - Arbeitsgemeinschaft: Geometry and Representation Theory around the P=W Conjecture 

      [OWR-2024-16] Workshop Report 2024,16 (2024) - (31 Mar - 05 Apr 2024)
      Given a smooth projective curve C, nonabelian Hodge theory gives a diffeomorphism between two different moduli spaces associated to C. The first is the moduli space of Higgs bundles on C of rank n, which is equipped ...
    • 2425 - Arrangements, Matroids and Logarithmic Vector Fields 

      [OWR-2024-29] Workshop Report 2024,29 (2024) - (16 Jun - 21 Jun 2024)
      The focus of this workshop was on the ongoing interaction between geometric aspects of matroid theory with various directions in the study of hyperplane arrangements. A hyperplane arrangement is exactly a linear ...
    • 2403 - Cluster Algebras and Its Applications 

      [OWR-2024-2] Workshop Report 2024,2 (2024) - (14 Jan - 19 Jan 2024)
      This workshop focused on recent developments in cluster algebras and their applications as well as interactions with other areas of mathematics. In addition to new advances in the theory of cluster algebras themselves, it ...
    • 2411a - Combinatorial *-algebras 

      [OWR-2024-12] Workshop Report 2024,12 (2024) - (10 Mar - 15 Mar 2024)
      This workshop aimed to strengthen ties and foster collaborations between different communities working on combinatorial -algebras, including C-and pure algebraists.
    • 2423 - Complexity Theory 

      [OWR-2024-27] Workshop Report 2024,27 (2024) - (02 Jun - 07 Jun 2024)
      Computational Complexity Theory is the mathematical study of the intrinsic power and limitations of computational resources like time, space, or randomness. The current workshop focused on recent developments in ...
    • 2422 - Constrained Dynamics, Stochastic Numerical Methods and the Modeling of Complex Systems 

      [OWR-2024-26] Workshop Report 2024,26 (2024) - (26 May - 31 May 2024)
      The workshop aimed to unite researchers from diverse fields of mathematics and statistics to explore the foundations of high-dimensional modeling and computational studies. It addressed recent advancements in numerical ...
    • 2404 - Discrete Geometry 

      [OWR-2024-3] Workshop Report 2024,3 (2024) - (21 Jan - 26 Jan 2024)
      A number of important recent developments in various branches of discrete geometry were presented at the workshop. The presentations illustrated both the diversity of the area and its strong connections to other fields ...
    • 2402 - Fracture as an Emergent Phenomenon 

      [OWR-2024-1] Workshop Report 2024,1 (2024) - (07 Jan - 12 Jan 2024)
      The mechanics of fracture propagation provides essential knowledge for the risk tolerance design of devices, structures, and vehicles. Techniques of free energy minimization provide guidance, but have limited applicability ...
    • 2419b - Game-theoretic Statistical Inference: Optional Sampling, Universal Inference, and Multiple Testing Based on E-values 

      [OWR-2024-24] Workshop Report 2024,24 (2024) - (05 May - 10 May 2024)
      This half-size MFO workshop brings together researchers in mathematical statistics, probability theory, machine learning, medical sciences, and economics to discuss recent developments in sequential inference. New sequential ...
    • 2424 - Geometrie 

      [OWR-2024-28] Workshop Report 2024,28 (2024) - (09 Jun - 14 Jun 2024)
      The workshop Geometrie, organized by Aaron Naber (Evanston), André Neves (Chicago), Eleonora Di Nezza (Paris), and Burkhard Wilking (Münster), was well attended with over 45 participants whose interests covered a ...
    • 2416 - Hochschild (Co)Homology and Applications 

      [OWR-2024-20] Workshop Report 2024,20 (2024) - (14 Apr - 19 Apr 2024)
      In 1945 Gerhard Hochschild published "On the cohomology groups of an associative algebra" in the "Annals of Mathematics" and thereby created what is now called Hochschild theory. The subject not only provides interesting ...
    • 2409 - Hyperbolic Balance Laws: Interplay between Scales and Randomness 

      [OWR-2024-10] Workshop Report 2024,10 (2024) - (25 Feb - 01 Mar 2024)
      Hyperbolic balance laws are fundamental in the mathematical modeling of transport-dominated processes in natural, socio-economic and engineering sciences. The aim of the workshop was to discuss open questions in the area ...
    • 2407 - Interfaces, Free Boundaries and Geometric Partial Differential Equations 

      [OWR-2024-8] Workshop Report 2024,8 (2024) - (11 Feb - 16 Feb 2024)
      Partial differential equations arising in the context of interfaces and free boundaries encompass a flourishing area of research. The workshop focused on new developments and emerging new themes. At the same time also ...
    • 2412 - K-Stability, Birational Geometry and Mirror Symmetry 

      [OWR-2024-14] Workshop Report 2024,14 (2024) - (17 Mar - 22 Mar 2024)
      The workshop "K-stability, Birational Geometry and Mirror Symmetry" presented recent advances in all three topics, in the form of research level mini-courses, research talks and lightning talk sessions. Deep interactions ...
    • 2410 - Mechanics of Materials: Multiscale Design of Advanced Materials and Structures 

      [OWR-2024-11] Workshop Report 2024,11 (2024) - (03 Mar - 08 Mar 2024)
      Materials can now be designed and architectured like structural components for targeted mechanical and physical properties. Structures and microstructures should not be studied independently and their design will benefit ...
    • 2405a - Mini-Workshop: Artin Groups meet Triangulated Categories 

      [OWR-2024-4] Workshop Report 2024,4 (2024) - (28 Jan - 02 Feb 2024)
      Artin and Coxeter groups are naturally occurring generalisations of the braid and symmetric groups respectively. However, unlike for Coxeter groups, many basic group theoretic questions remain unanswered for general Artin ...
    • 2405b - Mini-Workshop: Bridging Number Theory and Nichols Algebras via Deformations 

      [OWR-2024-5] Workshop Report 2024,5 (2024) - (28 Jan - 02 Feb 2024)
      Nichols algebras are graded Hopf algebra objects in braided tensor categories. They appeared first in a paper by Nichols in 1978 in the search for new examples of Hopf algebras. Rediscovered later several times, they ...