Oberwolfach Reports: Recent submissions

Now showing items 81-100 of 1153

    • 2310b - Optimization Problems for PDEs in Weak Space-Time Form 

      [OWR-2023-13] Workshop Report 2023,13 (2023) - (05 Mar - 10 Mar 2023)
      Optimization problems constrained by time-dependent Partial Differential Equations (PDEs) are challenging from a computational point of view: even in the simplest case, one needs to solve a system of PDEs coupled globally ...

    • 2311 - Real Algebraic Geometry with a View toward Koopman Operator Methods 

      [OWR-2023-14] Workshop Report 2023,14 (2023) - (12 Mar - 17 Mar 2023)
      This workshop was dedicated to the newest developments in real algebraic geometry and their interaction with convex optimization and operator theory. A particular effort was invested in exploring the interrelations with ...

    • 2309a - Skew Braces and the Yang-Baxter Equation 

      [OWR-2023-9] Workshop Report 2023,9 (2023) - (26 Feb - 04 Mar 2023)
      The workshop was focused on the interplay between set-theoretic solutions to the Yang-Baxter equation and several algebraic structures used to construct and understand new solutions. In this vein, the YBE and properties ...

    • 2309c - Free Boundary Problems Arising in Fluid Mechanics 

      [OWR-2023-11] Workshop Report 2023,11 (2023) - (26 Feb - 04 Mar 2023)
      Fluid mechanics is one of the classical areas in the study of partial differential equations and has been a vast subject of research in the last centuries. A relevant class of problems are those in which the evolution of ...

    • 2307 - Representation Theory of Quivers and Finite-Dimensional Algebras 

      [OWR-2023-7] Workshop Report 2023,7 (2023) - (12 Feb - 18 Feb 2023)
      This workshop was about the representation theory of quivers and finite-dimensional (associative) algebras, and links to other areas of mathematics, including other areas of representation theory, homological algebra, ...

    • 2246 - Mathematical Advances in Geophysical Fluid Dynamics 

      [OWR-2022-51] Workshop Report 2022,51 (2022) - (13 Nov - 19 Nov 2022)
      The workshop "Mathematical Advances in Geophysical Fluid Dynamics" addressed recent advances in modeling, analytical, computational and stochastical studies of geophysical flows. Of particular interest were contributions ...

    • 2306 - Resolutions in Local Algebra and Singularity Theory 

      [OWR-2023-6] Workshop Report 2023,6 (2023) - (05 Feb - 11 Feb 2023)
      Commutative algebra is a vast subject, with connections to many different areas of mathematics, and beyond. The focus of this workshop was on three areas, all concerned with resolutions in various forms. One is the ...

    • 2305 - Arithmetic of Shimura Varieties 

      [OWR-2023-5] Workshop Report 2023,5 (2023) - (29 Jan - 04 Feb 2023)
      The aim of this workshop was to discuss recent developments on the arithmetic of Shimura varieties and on related topics within the Langlands program, and to initiate and support further research in this direction. The ...

    • 2250 - Enumerative Combinatorics 

      [OWR-2022-57] Workshop Report 2022,57 (2022) - (11 Dec - 17 Dec 2022)
      Enumerative Combinatorics focuses on the exact and asymptotic counting of combinatorial objects. It has fruitful connections to several disciplines, including statistical physics, algebraic combinatorics, probability ...

    • 2304 - Morphisms in Low Dimensions 

      [OWR-2023-4] Workshop Report 2023,4 (2023) - (22 Jan - 28 Jan 2023)
      This workshop brought together experts on interrelated topics in low-dimensional topology, centred around the common theme of 'morphisms'. Our goal was to improve community understanding of recent developments in the field ...

    • 2249a - Algebraic Structures in Statistical Methodology 

      [OWR-2022-55] Workshop Report 2022,55 (2022) - (04 Dec - 10 Dec 2022)
      Algebraic structures arise naturally in a broad variety of statistical problems, and numerous fruitful connections have been made between algebra and discrete mathematics and research on statistical methodology. The ...

    • 2301 - Combinatorics 

      [OWR-2023-1] Workshop Report 2023,1 (2023)
      Combinatorics is an area of mathematics primarily concerned with counting and studying properties of discrete objects such as graphs, set systems, partial orders, polyhedra, etc. Combinatorial problems naturally ...

    • 2303 - Low-dimensional Topology 

      [OWR-2023-3] Workshop Report 2023,3 (2023) - (15 Jan - 21 Jan 2023)
      The workshop brought together experts from across all areas of low-dimensional topology, including knot theory, computational topology, three-manifolds and four-manifolds. In addition to the standard research talks we had ...

    • 2227 - Real Analysis, Harmonic Analysis and Applications 

      [OWR-2022-31] Workshop Report 2022,31 (2022) - (03 Jul - 09 Jul 2022)
      The workshop focused on important developments within the last few years in real and harmonic analysis including nonlinear Carleson theorems and singular integral theory, Fourier restriction theory and spherical ...

    • 2224 - Geometrie 

      [OWR-2022-28] Workshop Report 2022,28 (2022) - (12 Jun - 18 Jun 2022)
      The workshop Geometrie, organized by Aaron Naber (Evanston), André Neves (Chicago) and Burkhard Wilking (Münster) was well attended with over 42 participants (35 in person and 7 online) with broad geographic representation ...

    • 2248b - Mini-Workshop: A Geometric Fairytale full of Spectral Gaps and Random Fruit 

      [OWR-2022-53] Workshop Report 2022,53 (2022) - (27 Nov - 03 Dec 2022)
      In many situations, most prominently in quantum mechanics, it is important to understand well the eigenvalues and associated eigenfunctions of certain self-adjoint differential operators. The goal of this workshop was ...

    • 2225 - Hilbert Complexes: Analysis, Applications, and Discretizations 

      [OWR-2022-29] Workshop Report 2022,29 (2022) - (19 Jun - 25 Jun 2022)
      In this workshop 70 (43 at MFO, 27 online) leading mathematicians from Europe, United States, China, and Australia met at the MFO to discuss and present new developments in the mathematical and numerical analysis including ...

    • 2248a - Mini-Workshop: Topological and Differential Expansions of o-minimal Structures 

      [OWR-2022-52] Workshop Report 2022,52 (2022) - (27 Nov - 03 Dec 2022)
      The workshop brought together researchers with expertise in areas of mathematics where model theory has had interesting applications. The areas of expertise spanned from expansions of o-minimal structures preserving tame ...

    • 2249b - History of Mathematics through Collaboration: Toward a Composite Portrait of Oswald Veblen 

      [OWR-2022-56] Workshop Report 2022,56 (2022) - (04 Dec - 10 Dec 2022)
      Oswald Veblen played a pivotal role in the history of American mathematics in the twentieth century. His life, however, remains largely unstudied. This conference was designed to redress this issue by exploring Oswald ...

    • 2240b - Mini-Workshop: Quantization of Complex Symplectic Varieties 

      [OWR-2022-45] Workshop Report 2022,45 (2022) - (02 Oct - 08 Oct 2022)
      The mini-workshop featured two main series of lectures: "Functoriality in non-abelian Hodge theory" by Tony Pantev, and "Quantization of the Hitchin system and the analytic Langlands program" by Jörg Teschner. In ...