• 1832 - Mathematical General Relativity 

      [OWR-2018-36] Workshop Report 2018,36 (2018) - (05 Aug - 11 Aug 2018)
      General Relativity is one of the triumphs of twentieth century physics. Its spectacular predictions include gravitational waves, black holes, and spacetime singularities. The mathematical study of this theory leads to deep ...
    • 1812 - Mathematical Methods in Quantum Chemistry 

      [OWR-2018-13] Workshop Report 2018,13 (2018) - (18 Mar - 24 Mar 2018)
      The field of quantum chemistry is concerned with the modelling and simulation of the behaviour of molecular systems on the basis of the fundamental equations of quantum mechanics. Since these equations exhibit an extreme ...
    • 1825b - Matrix Estimation Meets Statistical Network Analysis: Extracting low-dimensional structures in high dimension 

      [OWR-2018-29] Workshop Report 2018,29 (2018) - (17 Jun - 23 Jun 2018)
      The study of complex relationships among the elements of a large collection of random variables lead to the development of a number of areas in probability and statistics such as probabilistic network analysis or random ...
    • 1840c - Mini-Workshop: Algebraic, Geometric, and Combinatorial Methods in Frame Theory 

      [OWR-2018-46] Workshop Report 2018,46 (2018) - (30 Sep - 06 Oct 2018)
      Frames are collections of vectors in a Hilbert space which have reconstruction properties similar to orthonormal bases and applications in areas such as signal and image processing, quantum information theory, quantization, ...
    • 1816a - Mini-Workshop: Arithmetic Geometry and Symmetries around Galois and Fundamental Groups 

      [OWR-2018-17] Workshop Report 2018,17 (2018) - (15 Apr - 21 Apr 2018)
      The geometric study of the absolute Galois group of the rational numbers has been a highly active research topic since the first milestones: Hilbert’s Irreducibility Theorem, Noether’s program, Riemann’s Existence Theorem. ...
    • 1840b - Mini-Workshop: Asymptotic Invariants of Homogeneous Ideals 

      [OWR-2018-45] Workshop Report 2018,45 (2018) - (30 Sep - 06 Oct 2018)
      Recent decades have witnessed a shift in interest from isolated objects to families of objects and their limit behavior, both in algebraic geometry and in commutative algebra. A series of various invariants have been ...
    • 1810a - Mini-Workshop: Chromatic Phenomena and Duality in Homotopy Theory and Representation Theory 

      [OWR-2018-9] Workshop Report 2018,9 (2018) - (04 Mar - 10 Mar 2018)
      This mini-workshop focused on chromatic phenomena and duality as unifying themes in algebra, geometry, and topology. The overarching goal was to establish a fruitful exchange of ideas between experts from various areas, ...
    • 1810c - Mini-Workshop: Deep Learning and Inverse Problems 

      [OWR-2018-11] Workshop Report 2018,11 (2018) - (04 Mar - 10 Mar 2018)
      Machine learning and in particular deep learning offer several data-driven methods to amend the typical shortcomings of purely analytical approaches. The mathematical research on these combined models is presently exploding ...
    • 1810b - Mini-Workshop: Entropy, Information and Control 

      [OWR-2018-10] Workshop Report 2018,10 (2018) - (04 Mar - 10 Mar 2018)
      This mini-workshop was motivated by the emerging field of networked control, which combines concepts from the disciplines of control theory, information theory and dynamical systems. Many current approaches to networked ...
    • 1816b - Mini-Workshop: Gibbs Measures for Nonlinear Dispersive Equations 

      [OWR-2018-18] Workshop Report 2018,18 (2018) - (15 Apr - 21 Apr 2018)
      In this mini-workshop we brought together leading experts working on the application of Gibbs measures to the study of nonlinear PDEs. This framework is a powerful tool in the probabilistic study of solutions to nonlinear ...
    • 1851b - Mini-Workshop: Innovative Trends in the Numerical Analysis and Simulation of Kinetic Equations 

      [OWR-2018-56] Workshop Report 2018,56 (2018) - (16 Dec - 22 Dec 2018)
      In multiscale modeling hierarchy, kinetic theory plays a vital role in connecting microscopic Newtonian mechanics and macroscopic continuum mechanics. As computing power grows, numerical simulation of kinetic equations has ...
    • 1851c - Mini-Workshop: Mathematical and Numerical Analysis of Maxwell's Equations 

      [OWR-2018-57] Workshop Report 2018,57 (2018) - (16 Dec - 22 Dec 2018)
      In this mini-workshop 17 leading mathematicians from Europe and United States met at the MFO to discuss and present new developments in the mathematical and numerical analysis of Maxwell’s equations and related systems of ...
    • 1851a - Mini-Workshop: Numerical Analysis for Non-Smooth PDE-Constrained Optimal Control Problems 

      [OWR-2018-55] Workshop Report 2018,55 (2018) - (16 Dec - 22 Dec 2018)
      This mini-workshop brought together leading experts working on various aspects of numerical analysis for optimal control problems with nonsmoothness. Fifteen extended abstracts summarize the presentations at this mini-workshop.
    • 1840a - Mini-Workshop: Positional Games 

      [OWR-2018-44] Workshop Report 2018,44 (2018) - (30 Sep - 06 Oct 2018)
      This mini-workshop focused on Positional Games and related fields. Positional Games Theory is a branch of Combinatorics whose main aim is to systematically develop an extensive mathematical basis for a variety of two-player ...
    • 1816c - Mini-Workshop: Superexpanders and Their Coarse Geometry 

      [OWR-2018-19] Workshop Report 2018,19 (2018) - (15 Apr - 21 Apr 2018)
      It is a deep open problem whether all expanders are superexpanders. In fact, it was already a major challenge to prove the mere existence of superexpanders. However, by now, some classes of examples are known: Lafforgue’s ...
    • 1834 - New Directions in Stochastic Optimisation 

      [OWR-2018-38] Workshop Report 2018,38 (2018) - (19 Aug - 25 Aug 2018)
      Recent work in stochastic programming draws on interaction with Algebraic and Combinatorial Models, Numerical Analysis of PDEs, Risk
    • 1836 - New Trends in Teichmüller Theory and Mapping Class Groups 

      [OWR-2018-40] Workshop Report 2018,40 (2018) - (02 Sep - 08 Sep 2018)
      In this workshop, various topics in Teichmüller theory and mapping class groups were discussed. Twenty-three talks dealing with classical topics and new directions in this field were given. A problem session was organised ...
    • 1828 - Non-commutative Geometry, Index Theory and Mathematical Physics 

      [OWR-2018-32] Workshop Report 2018,32 (2018) - (08 Jul - 14 Jul 2018)
      Non-commutative geometry today is a new but mature branch of mathematics shedding light on many other areas from number theory to operator algebras. In the 2018 meeting two of these connections were highlighted. For once, ...
    • 1817 - Nonlinear Data: Theory and Algorithms 

      [OWR-2018-20] Workshop Report 2018,20 (2018) - (22 Apr - 28 Apr 2018)
      Techniques and concepts from differential geometry are used in many parts of applied mathematics today. However, there is no joint community for users of such techniques. The workshop on Nonlinear Data assembled researchers ...
    • 1818 - Quadratic Forms and Related Structures over Fields 

      [OWR-2018-21] Workshop Report 2018,21 (2018) - (29 Apr - 05 May 2018)
      The range of topics discussed at the workshop “Quadratic Forms and Related Structures over Fields” included core themes from the algebraic theory of quadratic and hermitian forms and their Witt groups, several aspects of ...