• 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 ...
    • 2227 - Real Analysis, Harmonic Analysis and Applications 

      [OWR-2022-31] Workshop Report 2022,31 (2022) - (03 Jul - 09 Jul 2022)
      The workshop focused on important developments within the last few years in real and harmonic analysis including nonlinear Carleson theorems and singular integral theory, Fourier restriction theory and spherical ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 2229 - The Renormalization Group 

      [OWR-2022-33] Workshop Report 2022,33 (2022) - (17 Jul - 23 Jul 2022)
      The renormalization group was originally introduced as a multiscale approach to quantum field theory and the theory of critical phenomena, explaining in particular the universality observed e.g. in critical exponents. ...