• 2218 - Interactions between Algebraic Geometry and Noncommutative Algebra 

      [OWR-2022-23] Workshop Report 2022,23 (2022) - (01 May - 07 May 2022)
      This workshop was on the interactions between noncommutative algebra, representation theory and algebraic geometry. The major objective was to bring together researchers from those areas with the focus on topics and ...
    • 2207a - Interpolation, Approximation, and Algebra 

      [OWR-2022-7] Workshop Report 2022,7 (2022) - (13 Feb - 19 Feb 2022)
      This report involves two concepts of geometric modeling: multi-variate data interpolation by polynomials, and the study of generalized bary\-centric coordinates. These topics are connected to a wide range of of applications, ...
    • 2237 - Large Scale Stochastic Dynamics 

      [OWR-2022-41] Workshop Report 2022,41 (2022) - (11 Sep - 17 Sep 2022)
      The goal of this workshop was to explore the recent advances in the mathematical understanding of the macroscopic properties which emerge on large space-time scales from interacting microscopic particle systems. The ...
    • 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 ...
    • 2234 - Mathematical Imaging and Surface Processing 

      [OWR-2022-38] Workshop Report 2022,38 (2022) - (21 Aug - 27 Aug 2022)
      This workshop was gathering applied mathematicians and computer scientists interested in image and geometry processing. These topics have developed tremendously in the past few years with the rise of artificial ...
    • 2212a - MFO-RIMS Tandem Workshop: Nonlocality in Analysis, Probability and Statistics 

      [OWR-2022-15] Workshop Report 2022,15 (2022) - (20 Mar - 26 Mar 2022)
      The central theme of the workshop were nonlocal operators which appear in various branches of mathematics (PDEs, fractional calculus, stochastic processes, statistics). Although the basic concepts are similar, both language ...
    • 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 ...
    • 2240c - Mini-Workshop: Mathematical Foundations of Robust and Generalizable Learning 

      [OWR-2022-46] Workshop Report 2022,46 (2022) - (02 Oct - 08 Oct 2022)
      Machine learning has become an highly active field of research, but its mathematical underpinnings are still hardly understood. This workshop identified key challenges, and it discussed potential solutions. Bringing ...
    • 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 ...
    • 2248c - Mini-Workshop: Subvarieties in Projective Spaces and Their Projections 

      [OWR-2022-54] Workshop Report 2022,54 (2022) - (27 Nov - 03 Dec 2022)
      The major goals of this workshop are to lay paths for a systematic study of geproci (and related, e.g., projecting to almost complete intersections or full intersections) sets of points in projective spaces, study ...
    • 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 ...
    • 2240a - Mini-Workshop: Zero-Range and Point-Like Singular Perturbations: For a Spillover to Analysis, PDE and Differential Geometry 

      [OWR-2022-44] Workshop Report 2022,44 (2022) - (02 Oct - 08 Oct 2022)
      The field of contact interactions and perturbations of differential operators supported on subsets with non-trivial co-dimension is an increasingly active mainstream of mathematical physics (in particular, operator and ...
    • 2204 - Multiscale Coupled Models for Complex Media: From Analysis to Simulation in Geophysics and Medicine 

      [OWR-2022-4] Workshop Report 2022,4 (2022) - (23 Jan - 29 Jan 2022)
      Many real-life applications require mathematical models at multiple scales, defined in domains with complex structures, some of which having time dependent boundaries. Mathematical models of this type are encountered in ...
    • 2238 - Multiscale Wave-Turbulence Dynamics in the Atmosphere and Ocean 

      [OWR-2022-42] Workshop Report 2022,42 (2022) - (18 Sep - 24 Sep 2022)
      The atmosphere and oceans present an ongoing first-rate challenge to science and mathematics because they operate on an extremely broad ranges of scales, from molecular to planetary in length and from below seconds ...
    • 2211b - New Mathematical Techniques in Information Theory 

      [OWR-2022-14] Workshop Report 2022,14 (2022) - (13 Mar - 19 Mar 2022)
      Information theory is the richer for a surge of recent advances in relevant mathematical techniques. The workshop fostered an exchange of ideas on new mathematical tools which are typically outside the classical toolbox ...
    • 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 ...
    • 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 ...
    • 2210 - Population Dynamics and Statistical Physics in Synergy 

      [OWR-2022-12] Workshop Report 2022,12 (2022) - (06 Mar - 12 Mar 2022)
      Research at the interface between population dynamics and statistical physics has been developing rapidly, and represents a theme of growing interest worldwide. Population dynamics addresses fundamental questions about the ...
    • 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 ...