• 2244 - Heat Kernels, Stochastic Processes and Functional Inequalities 

      [OWR-2022-49] Workshop Report 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 ...
    • 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 ...
    • 2242 - Arbeitsgemeinschaft: Quantitative Stochastic Homogenization 

      [OWR-2022-48] Workshop Report 2022,48 (2022) - (16 Oct - 22 Oct 2022)
      Homogenization means approximating the effective, i.e. macroscopic, behavior of a heterogeneous medium by a homogeneous one, which amounts to a substantial conceptual and practical reduction of complexity. Stochastic ...
    • 2245 - Analytic Number Theory 

      [OWR-2022-50] Workshop Report 2022,50 (2022) - (06 Nov - 12 Nov 2022)
      Analytic number theory is a subject central to modern mathematics. There are many important unsolved problems which have stimulated a large amount of activity by many talented researchers. At least two of the Millennium ...
    • 2241 - Arbeitsgemeinschaft: Higher Rank Teichmüller Theory 

      [OWR-2022-47] Workshop Report 2022,47 (2022) - (09 Oct - 14 Oct 2022)
      Higher rank Teichmüller theory is the study of certain connected components of character varieties of surface groups in higher rank semisimple Lie groups, with the property that all elements in these components correspond ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 2203 - Groups and Dynamics: Topology, Measure, and Borel Structure 

      [OWR-2022-3] Workshop Report 2022,3 (2022) - (16 Jan - 22 Jan 2022)
      While the subjects of topological dynamics, ergodic theory, and descriptive set theory have long interacted in a variety of profitable ways, recent developments have ushered in a vigorous new phase of interplay between ...