Oberwolfach Reports: Recent submissions
Now showing items 21-40 of 1153
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2409 - Hyperbolic Balance Laws: Interplay between Scales and Randomness
[OWR-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] (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] (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] (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] (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] (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] (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] (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] (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] (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] (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] (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] (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] (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] (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 ... -
2349 - Variational Methods for Evolution
[OWR-2023-57] (2023) - (03 Dec - 08 Dec 2023)Variational principles for evolutionary systems arise in many settings, both in those describing the physical world and in man-made algorithms for data science and optimization tasks. Variational principles are ... -
2344c - Mini-Workshop: Positivity and Inequalities in Convex and Complex Geometry
[OWR-2023-51] (2023) - (29 Oct - 03 Nov 2023)The workshop convened researchers from algebraic geometry, convex geometry, and complex geometry to explore themes arising from the Alexandrov-Fenchel and Brunn-Minkowski inequalities. It featured three introductory talks ... -
2348a - Mini-Workshop: Combinatorial and Algebraic Structures in Rough Analysis and Related Fields
[OWR-2023-54] (2023) - (26 Nov - 02 Dec 2023)Recent years have seen an explosion of algebraic methods to study singular stochastic and rough dynamics. These include developments in geometric rough path theory based on the algebra of words, the introduction of ... -
2348c - Mini-Workshop: Flavors of Rabinowitz Floer and Tate Homology
[OWR-2023-56] (2023) - (26 Nov - 01 Dec 2023)Rabinowitz Floer homology originated 15 years ago in symplectic geometry. Recent developments have related it to algebraic topology via string toplogy and Tate homology, and to mirror symmetry via Fukaya categories. This ... -
2338a - Tensor-Triangular Geometry and Interactions
[OWR-2023-40] (2023) - (17 Sep - 22 Sep 2023)The workshop brought together experts in a rapidly growing field of tensor triangular geometry highlighting applications to and techniques coming from homotopy theory, algebraic geometry, modular representation theory, ...