• 2413 - Proof Complexity and Beyond 

  [OWR-2024-15] Workshop Report 2024,15 (2024) - (24 Mar - 29 Mar 2024)

  Proof complexity is a multi-disciplinary research area that addresses questions of the general form "how difficult is it to prove certain mathematical facts?'' The current workshop focussed on recent advances in our ...

• 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 ...

• 2350 - Geometric, Algebraic, and Topological Combinatorics 

  [OWR-2023-58] Workshop Report 2023,58 (2023) - (10 Dec - 15 Dec 2023)

  The 2023 Oberwolfach meeting "Geometric, Algebraic, and Topological Combinatorics'' was organized by Gil Kalai (Jerusalem), Isabella Novik (Seattle), Francisco Santos (Santander), and Volkmar Welker (Marburg). It ...

• 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 ...

• 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 ...

• 2348b - Mini-Workshop: Homological Aspects for TDLC-Groups 

  [OWR-2023-55] Workshop Report 2023,55 (2023) - (26 Nov - 01 Dec 2023)

  This mini-workshop aimed at bringing together experts and early career researchers on finiteness conditions for discrete groups, and experts on varying aspects of locally compact groups to find a common framework to develop ...

• 2411b - Nonlinear Optics: Physics, Analysis, and Numerics 

  [OWR-2024-13] Workshop Report 2024,13 (2024) - (10 Mar - 15 Mar 2024)

  When high-intensity electromagnetic waves at optical frequencies interact with solids and/or nanostructures the materials' response cannot anymore be described via simple linear relations. The resulting science of nonlinear ...

• 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.

• 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 ...

• 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, ...

• 2339a - MFO-RIMS Tandem Workshop 2023: Arithmetic Homotopy and Galois Theory 

  [OWR-2023-42] Workshop Report 2023,42 (2023) - (24 Sep - 29 Sep 2023)

  This report presents a general panorama of recent progress in the arithmetic-geometry theory of Galois and homotopy groups and its ramifications. While still relying on Grothendieck's original pillars, the present program ...

• 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 ...

• 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 ...

• 2405c - Mini-Workshop: Permutation Patterns 

  [OWR-2024-6] Workshop Report 2024,6 (2024) - (28 Jan - 02 Feb 2024)

  The study of permutation patterns has recently seen several surprising results, and the purpose of this mini-workshop was to bring together researchers from across the field to focus on four hot topics related to these ...

• 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 ...

• 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 ...

• 2351 - Arbeitsgemeinschaft: QFT and Stochastic PDEs 

  [OWR-2023-59] Workshop Report 2023,59 (2023) - (17 Dec - 22 Dec 2023)

  Quantum field theory (QFT) is a fundamental framework for a wide range of phenomena is physics. The link between QFT and SPDE was first observed by the physicists Parisi and Wu (1981), known as Stochastic Quantisation. ...

• 2344a - Mini-Workshop: Mathematics of Many-body Fermionic Systems 

  [OWR-2023-49] Workshop Report 2023,49 (2023) - (29 Oct - 04 Nov 2023)

  Fermionic quantum systems are well described by the linear many-body Schrödinger equation. For interacting systems the full Schrödinger theory is extremely complicated and theoretical as well numerical investigations are ...

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