• 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 ...
    • 2235 - Character Theory and Categorification 

      [OWR-2022-39] Workshop Report 2022,39 (2022) - (28 Aug - 03 Sep 2022)
      Over a hundred years after the work of Frobenius and Schur, the sheer enormity of what is not known about the character theory of symmetric and alternating groups continues to surprise and awe the uninitiated. How does ...
    • 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 ...
    • 2236 - Complex Geometry and Dynamical Systems 

      [OWR-2022-40] Workshop Report 2022,40 (2022) - (04 Sep - 10 Sep 2022)
      The workshop focused on recent developments in holomorphic dynamics, several complex variables and complex geometry. The topics of the talks included dynamics of holomorphic and rational maps, the theory of currents, ...
    • 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 ...
    • 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 ...
    • 2207b - Descriptive Combinatorics, LOCAL Algorithms and Random Processes 

      [OWR-2022-8] Workshop Report 2022,8 (2022) - (13 Feb - 19 Feb 2022)
      The aim of this mini-workshop was to discover and deepen connections between the fields of descriptive combinatorics, distributed computing and random processes. The common link is played by the so-called local coloring ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 2201 - Graph Theory 

      [OWR-2022-1] Workshop Report 2022,1 (2022) - (02 Jan - 08 Jan 2022)
      Graph theory is a quickly developing area of mathematics, with an increasing number of connections to various parts of mathematics and computer science. The workshop aimed at bringing together a broad range of researchers at ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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, ...