Oberwolfach Reports: Recent submissions
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2339a  MFORIMS Tandem Workshop 2023: Arithmetic Homotopy and Galois Theory
[OWR202342] (2023)  (24 Sep  29 Sep 2023)This report presents a general panorama of recent progress in the arithmeticgeometry theory of Galois and homotopy groups and its ramifications. While still relying on Grothendieck's original pillars, the present program ... 
2338a  TensorTriangular Geometry and Interactions
[OWR202340] (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, ... 
2338b  MiniWorkshop: Interpolation and Overparameterization in Statistics and Machine Learning
[OWR202341] (2023)  (17 Sep  22 Sep 2023)In recent years it has become clear that, contrary to traditional statistical beliefs, methods that interpolate (fit exactly) the noisy training data, can still be statistically optimal. In particular, this phenomenon of ... 
2339b  MiniWorkshop: Multivariate Orthogonal Polynomials: New synergies with Numerical Analysis
[OWR202343] (2023)  (24 Sep  29 Sep 2023)Multivariate polynomials and, in particular, multivariate orthogonal polynomials (MOPs) are research areas within the fields of special functions, Lie groups, quantum groups, computer algebra to name only some of them. ... 
2332  Homotopy Theory
[OWR202334] (2023)  (06 Aug  11 Aug 2023)The workshop brought together experts in homotopy theory from many areas, including chromatic homotopy theory, algebraic Ktheory, derived algebra and equivariant homotopy theory. We had a lecture series on the recent ... 
2330  Partial Differential Equations
[OWR202332] (2023)  (23 Jul  28 Jul 2023)This workshop focused on nonlinear elliptic and parabolic partial differential equations, touching topics such as geometric flows, geometric variational problems and minimal surfaces, free boundaries, and geometric measure ... 
2335  Aspects of Aperiodic Order
[OWR202337] (2023)  (27 Aug  01 Sep 2023)The theory of aperiodic order expanded and developed significantly since the discovery of quasicrystals, and continues to bring many mathematical disciplines together. The focus of this workshop was on harmonic analysis ... 
2337  ManyBody Quantum Systems
[OWR202339] (2023)  (10 Sep  15 Sep 2023)This workshop brought together experts on the analysis of quantum manybody problems and quantum statistical mechanics, with the goal of discussing the stateoftheart of the field, recent developments as well as challenges ... 
2331  Teichmüller Theory: Classical, Higher, Super and Quantum
[OWR202333] (2023)  (30 Jul  04 Aug 2023)Teichmüller spaces play a major role in many areas of mathematics and physical science. The subject of the conference was recent developments of Teichmüller theory with its different ramifications that include the ... 
2336  Classical and Quantum Mechanical Models of ManyParticle Systems
[OWR202338] (2023)  (03 Sep  08 Sep 2023)The workshop focused on the collective behavior of manyparticle systems in various application fields: physics (gas dynamics, plasmas, quantum mechanics), mathematical biology (cell mobility, evolution of traitstructured ... 
2334  Geometric Spectral Theory
[OWR202336] (2023)  (20 Aug  25 Aug 2023)Spectral geometry is a rapidly developing field with new classes of operators, boundary value problems and geometric objects arising in different applications. At the same time, classical problems continue gaining novel ... 
2333  Mixedinteger Nonlinear Optimization: A Hatchery for Modern Mathematics
[OWR202335] (2023)  (13 Aug  18 Aug 2023)Mixedinteger nonlinear programming (MINLP) is concerned with finding optimal solutions to mathematical formulations of optimization problems combining discrete and nonlinear phenomena. The scientific program was ... 
2325  Recent Trends in Algebraic Geometry
[OWR202327] (2023)  (18 Jun  23 Jun 2023)Algebraic geometry has grown into a broad subject, with many different streams often advancing quite independently of each other. Nonetheless, important advances have often come from visionary applications of ideas in ... 
2326  Algebraische Zahlentheorie
[OWR202328] (2023)  (25 Jun  30 Jun 2023)Algebraic Number Theory is an area of Mathematics that has a legendary history and lies at the interface of Algebra and Number Theory. The last four decades of the last century witnessed rapid developments that led to ... 
2329  Transport and Scale Interactions in Geophysical Flows
[OWR202331] (2023)  (16 Jul  21 Jul 2023)This interdisciplinary workshop brought together researchers working on different aspects of transport and scale interactions across the spectrum of geophysical fluid dynamics: geometry and computation of transport and ... 
2328  Dynamische Systeme
[OWR202330] (2023)  (09 Jul  14 Jul 2023)This workshop continues a series of workshops whose current format originated in 1981 under thenorganizers Moser and Zehnder, and whose latest iteration took place in July 2023. The general goal of this series of workshops ... 
2327  Differentialgeometrie im Grossen
[OWR202329] (2023)  (02 Jul  07 Jul 2023)Over the past several decades, classical differential geometry has undergone a remarkable expansion, helped by the integration of tools and insights from neighboring fields like partial differential equations, complex ... 
2318  Tomographic Inverse Problems: Mathematical Challenges and Novel Applications
[OWR202321] (2023)  (30 Apr  05 May 2023)This workshop brought together researchers working on mathematical problems related to tomography, with a particular emphasis on novel applications and associated mathematical challenges. Examples of respective issues ... 
2324  Machine Learning for Science: Mathematics at the Interface of Datadriven and Mechanistic Modelling
[OWR202326] (2023)  (11 Jun  16 Jun 2023)Rapid progress in machine learning is enabling scientific advances across a range of disciplines. However, the utility of machine learning for science remains constrained by its current inability to translate insights from ... 
2323  Incidence Problems in Harmonic Analysis, Geometric Measure Theory, and Ergodic Theory
[OWR202325] (2023)  (04 Jun  09 Jun 2023)The workshop "Incidence Problems in Harmonic Analysis, Geometric Measure Theory, and Ergodic Theory" covered interactions between geometric problems involving fractals, dimensions, patterns, projections and incidences, and ...