• 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 ...
    • 2214 - Arbeitsgemeinschaft: Geometric Representation Theory 

      [OWR-2022-18] Workshop Report 2022,18 (2022) - (03 Apr - 09 Apr 2022)
      Our understanding of algebraic representations of reductive algebraic groups in positive characteristic has seen big advances in the last years and has been largely transformed into the geometric theory of studying parity ...
    • 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, ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 2202 - Set Theory 

      [OWR-2022-2] Workshop Report 2022,2 (2022) - (09 Jan - 15 Jan 2022)
      While set theory continues reaching out into various other fields of mathematics but also becomes more and more specialized, recent times have seen important results around holy grails of set theory which gave a new momentum ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 2206 - Space-Time Methods for Time-Dependent Partial Differential Equations 

      [OWR-2022-6] Workshop Report 2022,6 (2022) - (06 Feb - 12 Feb 2022)
      Modern discretization and solution methods for time-dependent PDEs consider the full problem in space and time simultaneously and aim to overcome limitations of classical approaches by first discretizing in space and ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...