Oberwolfach Reports: Recent submissions
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2336 - Classical and Quantum Mechanical Models of Many-Particle Systems
[OWR-2023-38] (2023) - (03 Sep - 08 Sep 2023)The workshop focused on the collective behavior of many-particle systems in various application fields: physics (gas dynamics, plasmas, quantum mechanics), mathematical biology (cell mobility, evolution of trait-structured ... -
2334 - Geometric Spectral Theory
[OWR-2023-36] (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 - Mixed-integer Nonlinear Optimization: A Hatchery for Modern Mathematics
[OWR-2023-35] (2023) - (13 Aug - 18 Aug 2023)Mixed-integer 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
[OWR-2023-27] (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
[OWR-2023-28] (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
[OWR-2023-31] (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
[OWR-2023-30] (2023) - (09 Jul - 14 Jul 2023)This workshop continues a series of workshops whose current format originated in 1981 under then-organizers Moser and Zehnder, and whose latest iteration took place in July 2023. The general goal of this series of workshops ... -
2327 - Differentialgeometrie im Grossen
[OWR-2023-29] (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
[OWR-2023-21] (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 Data-driven and Mechanistic Modelling
[OWR-2023-26] (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
[OWR-2023-25] (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 ... -
2319 - Group Actions and Harmonic Analysis in Number Theory
[OWR-2023-22] (2023) - (07 May - 12 May 2023)This workshop focuses on new problems and new methods at the interface of harmonic analysis (taken in a very broad sense) and ergodic theory, with applications focused on number theory. Special emphasis is put on ... -
2321 - Hypoelliptic Operators in Geometry
[OWR-2023-24] (2023) - (21 May - 26 May 2023)The workshop titled "Hypoelliptic Operators in Geometry" was coorganized by Davide Barilari (Padova), Xiaonan Ma (Paris), Nikhil Savale (Köln) and Yi Wang (Baltimore). It was well attended by 55 participants, with 45 of ... -
2320 - Tropical Methods in Geometry
[OWR-2023-23] (2023) - (14 May - 19 May 2023)The workshop "Tropical methods in geometry" was devoted to a wide discussion and exchange of ideas between the leading experts representing various points of view on the subject including tropical methods in symplectic and ... -
2314 - Arbeitsgemeinschaft: Twistor D-Modules and the Decomposition Theorem
[OWR-2023-17] (2023) - (02 Apr - 07 Apr 2023)The purpose of this Arbeitsgemeinschaft is to introduce the notion of twistor $\mathcal{D}$-modules and their main properties. The guiding principle leading this discussion is Simpson's "meta-theorem", which gives a heuristic ... -
2302 - Model Theory: Combinatorics, Groups, Valued Fields and Neostability
[OWR-2023-2] (2023) - (08 Jan - 14 Jan 2023)The scope of contemporary model theory has expanded enormously over the last several decades, helped by the development of new tools applicable to an ever wider range of structures. In the spirit of the previous meetings ... -
2244 - Heat Kernels, Stochastic Processes and Functional Inequalities
[OWR-2022-49] (2022) - (30 Oct - 05 Nov 2022)The workshop provided a forum for recent progress on a wide array of topics at the nexus of Analysis (elliptic, subelliptic and parabolic differential equations), Geometry (Riemannian and sub-Riemannian geometries, metric ... -
2309b - New Horizons in Motions in Random Media
[OWR-2023-10] (2023) - (26 Feb - 04 Mar 2023)The general topic of the mini-workshop "New Horizons in Motions in Random Media" was the study of random walks in random environments, both in their own right and in relation to stochastic homogenization and to models in ... -
2317 - Mathematical Foundations of Biological Organisation
[OWR-2023-20] (2023) - (23 Apr - 28 Apr 2023)The workshop aimed to explore the use of new mathematical and computational approaches to investigate the fundamental principles governing the organization and dynamics of biological systems. This necessitated conversations ... -
2315 - Komplexe Analysis - Differential and Algebraic methods in Kähler spaces
[OWR-2023-18] (2023) - (09 Apr - 14 Apr 2023)Our workshop focused on recent results in our main field (complex geometry) and its connection with other branches of mathematics. The main theme of an important proportion of the talks was Hodge theory, combined with ...