Oberwolfach Reports: Recent submissions

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    • 2232 - C*-Algebras 

      [OWR-2022-36] Workshop Report 2022,36 (2022) - (07 Aug - 13 Aug 2022)
      Operator algebras form a very active area of mathematics which, since its inception in the 1940s, has always been driven by interactions with other fields of mathematics and physics. The scope of these interactions is very ...

    • 2233 - Calculus of Variations 

      [OWR-2022-37] Workshop Report 2022,37 (2022) - (14 Aug - 20 Aug 2022)
      The Calculus of Variations is at the same time a classical subject, with long-standing open questions which have generated exciting discoveries in recent decades, and a modern subject in which new types of questions ...

    • 2230 - Topologie 

      [OWR-2022-34] Workshop Report 2022,34 (2022) - (24 Jul - 30 Jul 2022)
      The lectures in the workshop covered various topics in modern topology, including algebraic and geometric topology, homotopy theory, geometric group theory, and manifold topology, as well as connections to neighboring ...

    • 2231 - Non-Commutative Geometry and Cyclic Homology 

      [OWR-2022-35] Workshop Report 2022,35 (2022) - (31 Jul - 06 Aug 2022)
      The meeting displayed the cyclic theory as a fundamental mathematical tool with applications in diverse domains such as analysis, algebraic K-theory, algebraic geometry, arithmetic geometry, solid state physics and quantum ...

    • 2226 - Nonlinear Waves and Dispersive Equations 

      [OWR-2022-30] Workshop Report 2022,30 (2022) - (26 Jun - 02 Jul 2022)
      Nonlinear dispersive equations are models for nonlinear waves in a wide range of physical contexts. Mathematically they display an interplay between linear dispersion and nonlinear interactions, which can result in a ...

    • 2228 - Algebraic Geometry: Moduli Spaces, Birational Geometry and Derived Aspects 

      [OWR-2022-32] Workshop Report 2022,32 (2022) - (10 Jul - 16 Jul 2022)
      The workshop covered recent developments in algebraic geometry in a broad sense with a special emphasis on various moduli spaces. Problems related to mirror symmetry phenomena were discussed in a number of talks as well ...

    • 2221 - Deterministic Dynamics and Randomness in PDE 

      [OWR-2022-26] Workshop Report 2022,26 (2022) - (22 May - 28 May 2022)
      Over the last few years there has been spectacular progress in the study of parabolic SPDE, of nonlinear dispersive and wave equations and of probabilistic methods in PDE. An important direction connecting these three ...

    • 2217 - Combinatorics, Probability and Computing 

      [OWR-2022-22] Workshop Report 2022,22 (2022) - (24 Apr - 30 Apr 2022)
      The main theme of this workshop was the use of probabilistic methods in combinatorics and theoretical computer science. This area is evolving extremely quickly, with the introduction of powerful new methods and the development ...

    • 2220 - Re-thinking High-dimensional Mathematical Statistics 

      [OWR-2022-25] Workshop Report 2022,25 (2022) - (15 May - 21 May 2022)
      The workshop highlighted recent theoretical advances on inference in high-dimensional statistical models based on the interplay of techniques from mathematical statistics, machine learning, theoretical computer science ...

    • 2208 - Data Assimilation - Mathematical Foundation and Applications 

      [OWR-2022-10] Workshop Report 2022,10 (2022) - (20 Feb - 26 Feb 2022)
      The field of "Data Assimilation'' has been driven by applications from the geosciences where complex mathematical models are interfaced with observational data in order to improve model forecasts. Mathematically, data ...

    • 2219 - Algebraic K-Theory 

      [OWR-2022-24] Workshop Report 2022,24 (2022) - (08 May - 14 May 2022)
      Algebraic $K$-theory has seen further progress during the last three years. One important aspect of this recent progress has been a better conceptual understanding of motivic filtrations on $K$-theory and the systematic ...

    • 2211a - The Laguerre-Pólya Class and Combinatorics 

      [OWR-2022-13] Workshop Report 2022,13 (2022) - (13 Mar - 19 Mar 2022)
      The talks at the workshop were focused on zero localization and zero finding of entire functions, with applications to analytic number theory and combinatorics. The discussions included specific areas such as stable and ...

    • 2215a - Structure-Preserving Discretizations for Nonlinear Systems of Hyperbolic, Involution-Constrained Partial Differential Equations on Manifolds 

      [OWR-2022-19] Workshop Report 2022,19 (2022) - (10 Apr - 16 Apr 2022)
      The topic of this workshop was the study of mathematical and numerical analysis for involution-constrained hyperbolic partial differential equations on manifolds. An example is the positivity of the density for the ...

    • 2216 - Diophantische Approximationen 

      [OWR-2022-21] Workshop Report 2022,21 (2022) - (17 Apr - 23 Apr 2022)
      This workshop was focused on a large variety of problems which have seen important progress during the last few years, such as extensions and refinements of Schmidt Subspace Theorem, together with new applications, works ...

    • 2205 - Non-Archimedean Geometry and Applications 

      [OWR-2022-5] Workshop Report 2022,5 (2022) - (30 Jan - 05 Feb 2022)
      The workshop focused on recent developments in non-Archime-dean analytic geometry with various applications to other fields. The topics of the talks included foundational results on analytic spaces as well as applications ...

    • 2213 - Toric Geometry 

      [OWR-2022-17] Workshop Report 2022,17 (2022) - (27 Mar - 02 Apr 2022)
      Toric geometry is a vibrant subfield of algebraic geometry that draws on strong connections to combinatorics. The 2022 workshop brought together a broad group of mathematicians both in-person and virtually to ...

    • 2207c - Regularization by Noise: Theoretical Foundations, Numerical Methods and Applications 

      [OWR-2022-9] Workshop Report 2022,9 (2022) - (13 Feb - 19 Feb 2022)
      The regularizing effects of noisy perturbations of differential equations is a central subject of stochastic analysis. Recent breakthroughs initiated a new wave of interest, particularly concerning non-Markovian, infinite ...

    • 2212b - Recent Developments in Representation Theory and Mathematical Physics 

      [OWR-2022-16] Workshop Report 2022,16 (2022) - (20 Mar - 26 Mar 2022)
      This mini-workshop was devoted to foster the interactions between mathematicians and mathematical physicists who are working on questions related to representation theory. This includes for example the representation theory ...

    • 2209 - Geometric Structures in Group Theory 

      [OWR-2022-11] Workshop Report 2022,11 (2022) - (27 Feb - 05 Mar 2022)
      The conference was in the area of geometric group theory, the field of mathematics in which one studies infinite groups (finitely generated, or more generally locally compact, countable etc.) via actions on spaces endowed ...

    • 2215b - Conic Linear Optimization for Computer-Assisted Proofs 

      [OWR-2022-20] Workshop Report 2022,20 (2022) - (10 Apr - 16 Apr 2022)
      From a mathematical perspective, optimization is the science of proving inequalities. In this sense, computational optimization is a method for computer-assisted proofs. Conic (linear) optimization is ...