Oberwolfach Reports: Recent submissions

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    • 2139 - Singularities (hybrid meeting) 

      [OWR-2021-47] Workshop Report 2021,47 (2021) - (26 Sep - 02 Oct 2021)
      Singularity theory concerns local and global structure of singularities of (algebraic) varieties and maps. As such, it combines tools from algebraic geometry, complex analysis, topology, algebra and combinatorics.

    • 2137 - Quantum Groups - Algebra, Analysis and Category Theory (hybrid meeting) 

      [OWR-2021-44] Workshop Report 2021,44 (2021) - (12 Sep - 18 Sep 2021)
      The meeting was devoted to discussing the state of the art of different branches of tensor categories and quantum groups, with emphasis on the exchange of ideas between the purely algebraic and operator algebraic sides of ...

    • 2132 - Dynamics of Waves and Patterns (hybrid meeting) 

      [OWR-2021-37] Workshop Report 2021,37 (2021) - (08 Aug - 14 Aug 2021)
      The dynamics of waves and patterns play a significant role in the sciences, especially in fluid mechanics, material science, neuroscience and ecology. The mathematical treatment interconnects several areas, ranging from ...

    • 2138 - Homotopical Algebra and Higher Structures (hybrid meeting) 

      [OWR-2021-46] Workshop Report 2021,46 (2021) - (19 Sep - 25 Sep 2021)
      Homotopical algebra and higher category theory play an increasingly important role in pure mathematics, and higher methods have seen tremendous development in the last couple of decades. The talks delivered at the workshop ...

    • 2137a - MATRIX-MFO Tandem Workshop/Small Collaboration: Rough Wave Equations (hybrid meeting) 

      [OWR-2021-45] Workshop Report 2021,45 (2021) - (12 Sep - 18 Sep 2021)
      The consideration of wave propagation in inhomogeneous media or the modelling of nonlinear waves often requires the study of wave equations with low regularity data and/or coefficients. Several Australian-European ...

    • 2136b - MFO-RIMS Tandem Workshop: Symmetries on Polynomial Ideals and Varieties (hybrid meeting) 

      [OWR-2021-43] Workshop Report 2021,43 (2021) - (05 Sep - 11 Sep 2021)
      The study of symmetry as a structural property of algebraic objects is one of the fundamental pillows of the developments of modern mathematics, most prominently beginning with the work of Abel and Galois. The focus of ...

    • 2136a - MATRIX-MFO Tandem Workshop: Invariants and Structures in Low-Dimensional Topology (hybrid meeting) 

      [OWR-2021-42] Workshop Report 2021,42 (2021) - (05 Sep - 11 Sep 2021)
      The first ever MATRIX-MFO tandem workshop addressed several research questions in low-dimensional topology and related areas.

    • 2135 - Mathematical Aspects of General Relativity (hybrid meeting) 

      [OWR-2021-40] Workshop Report 2021,40 (2021) - (29 Aug - 04 Sep 2021)
      General relativity is an area that naturally combines differential geometry, partial differential equations, global analysis and dynamical systems with astrophysics, cosmology, high energy physics, and numerical analysis. ...

    • 2135a - Small Collaboration: Advanced Numerical Methods for Nonlinear Hyperbolic Balance Laws and Their Applications (hybrid meeting) 

      [OWR-2021-41] Workshop Report 2021,41 (2021) - (29 Aug - 04 Sep 2021)
      This small collaborative workshop brought together experts from the Sino-German project working in the field of advanced numerical methods for hyperbolic balance laws. These are particularly important for compressible ...

    • 2131 - Computation and Learning in High Dimensions (hybrid meeting) 

      [OWR-2021-36] Workshop Report 2021,36 (2021) - (01 Aug - 07 Aug 2021)
      The most challenging problems in science often involve the learning and accurate computation of high dimensional functions. High-dimensionality is a typical feature for a multitude of problems in various areas of ...

    • 2133 - Computational Group Theory (hybrid meeting) 

      [OWR-2021-38] Workshop Report 2021,38 (2021) - (15 Aug - 21 Aug 2021)
      This was the eighth Oberwolfach Workshop on Computational Group Theory. It demonstrated how an increasing number and variety of deep theoretical results are being used to devise powerful and practical algorithms ...

    • 2126a - Analysis, Geometry and Topology of Positive Scalar Curvature Metrics (hybrid meeting) 

      [OWR-2021-30] Workshop Report 2021,30 (2021) - (27 Jun - 03 Jul 2021)
      The investigation of Riemannian metrics with lower scalar curvature bounds has been a central topic in differential geometry for decades. It addresses foundational problems, combining ideas and methods from global analysis, ...

    • 2128 - Dynamische Systeme (hybrid meeting) 

      [OWR-2021-33] Workshop Report 2021,33 (2021) - (11 Jul - 17 Jul 2021)
      This workshop continued a biannual series of workshops at Oberwolfach on dynamical systems that started with a meeting organized by Moser and Zehnder in 1981. Workshops in this series focus on new results and developments ...

    • 2119b - Mini-Workshop: Mathematics of Dissipation - Dynamics, Data and Control (hybrid meeting) 

      [OWR-2021-24] Workshop Report 2021,24 (2021) - (09 May - 15 May 2021)
      Dissipation of energy --- as well as its sibling the increase of entropy --- are fundamental facts inherent to any physical system. The concept of dissipativity has been extended to a more general system theoretic setting ...

    • 2123 - Analysis, Geometry and Topology of Singular PDE (hybrid meeting) 

      [OWR-2021-27] Workshop Report 2021,27 (2021) - (06 Jun - 12 Jun 2021)
      This is a report on the Oberwolfach conference "Analysis, geometry and topology of singular PDE'', June 2-12, 2021. This workshop, held in an hybrid format, focused on the topology, geometry and geometric analysis of ...

    • 2125 - Classical Algebraic Geometry (hybrid meeting) 

      [OWR-2021-29] Workshop Report 2021,29 (2021) - (20 Jun - 26 Jun 2021)
      Progress in algebraic geometry often comes through the introduction of new tools and ideas to tackle the classical problems in the development of the field. Examples include new invariants that capture some aspect of ...

    • 2127 - Differentialgeometrie im Grossen (hybrid meeting) 

      [OWR-2021-32] Workshop Report 2021,32 (2021) - (04 Jul - 10 Jul 2021)
      The field of classical differential geometry has expanded enormously over the last several decades, helped by the development of tools from neighboring fields such as partial differential equations, complex analysis and ...

    • 2129 - Explicit Methods in Number Theory (hybrid meeting) 

      [OWR-2021-34] Workshop Report 2021,34 (2021) - (18 Jul - 24 Jul 2021)
      The series of Oberwolfach meetings on `Explicit methods in number theory' brings together people attacking key problems in number theory via techniques involving concrete or computable descriptions. Here, number theory ...

    • 2130 - Partial Differential Equations (hybrid meeting) 

      [OWR-2021-35] Workshop Report 2021,35 (2021) - (25 Jul - 31 Jul 2021)
      The workshop covered topics in nonlinear elliptic and parabolic Partial Differential Equations as well as topics in Geometric Measure Theory, touching topics such as geometric variational problems and minimal surfaces, ...

    • 2124 - Enumerative Geometry of Surfaces (hybrid meeting) 

      [OWR-2021-28] Workshop Report 2021,28 (2021) - (13 Jun - 19 Jun 2021)
      The recent developments in hyperbolic geometry and flat geometry in real dimension $2$ formed the core of the workshop, with an emphasis on enumerative aspects. A particularly important role in this regard was played by ...