• 1602 - Graph Theory 

      [OWR-2016-2] Workshop Report 2016,2 (2016) - (10 Jan - 16 Jan 2016)
      This workshop focused on recent developments in graph theory. These included in particular recent breakthroughs on nowhere-zero flows in graphs, width parameters, applications of graph sparsity in algorithms, and matroid ...
    • 1648 - Heat Kernels, Stochastic Processes and Functional Inequalities 

      [OWR-2016-55] Workshop Report 2016,55 (2016) - (27 Nov - 03 Dec 2016)
      The general topic of the 2016 workshop Heat kernels, stochastic processes and functional inequalities was the study of linear and non-linear diffusions in geometric environments including smooth manifolds, fractals and ...
    • 1607b - Hochschild Cohomology in Algebra, Geometry, and Topology 

      [OWR-2016-10] Workshop Report 2016,10 (2016) - (14 Feb - 20 Feb 2016)
      In 1945 Gerhard Hochschild published "On the cohomology groups of an associative algebra" in the Annals of Mathematics and thereby created what is now called Hochschild theory. In 1963, Murray Gerstenhaber proved that the ...
    • 1625 - Hyperbolic Techniques in Modelling, Analysis and Numerics 

      [OWR-2016-30] Workshop Report 2016,30 (2016) - (19 Jun - 25 Jun 2016)
      Several research areas are flourishing on the roots of the breakthroughs in conservation laws that took place in the last two decades. The meeting played a key role in providing contacts among the different branches that ...
    • 1646 - Large Scale Stochastic Dynamics 

      [OWR-2016-54] Workshop Report 2016,54 (2016) - (13 Nov - 19 Nov 2016)
      The goal of this workshop was to explore the recent advances in the mathematical understanding of the macroscopic properties which emerge on large space-time scales from interacting microscopic particle systems. There were ...
    • 1603 - Lattices and Applications in Number Theory 

      [OWR-2016-3] Workshop Report 2016,3 (2016) - (17 Jan - 23 Jan 2016)
      This is a report on the workshop on Lattices and Applications in Number Theory held in Oberwolfach, from January 17 to January 23, 2016. The workshop brought together people working in various areas related to the field: ...
    • 1627b - Learning Theory and Approximation 

      [OWR-2016-33] Workshop Report 2016,33 (2016) - (03 Jul - 09 Jul 2016)
      The main goal of this workshop – the third one of this type at the MFO – has been to blend mathematical results from statistical learning theory and approximation theory to strengthen both disciplines and use synergistic ...
    • 1637 - Many-Body Quantum Systems and Effective Theories 

      [OWR-2016-43] Workshop Report 2016,43 (2016) - (11 Sep - 17 Sep 2016)
      In the last years, substantial progress has been made in many areas of mathematical physics. The goal of this workshop was to bring together researchers working on analytic and probabilistic aspects of many-body quantum ...
    • 1640 - Mathematical and Algorithmic Aspects of Data Assimilation in the Geosciences 

      [OWR-2016-47] Workshop Report 2016,47 (2016) - (02 Oct - 08 Oct 2016)
      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 ...
    • 1604 - Mathematical Imaging and Surface Processing 

      [OWR-2016-4] Workshop Report 2016,4 (2016) - (24 Jan - 30 Jan 2016)
      Within the last decade image and geometry processing have become increasingly rigorous with solid foundations in mathematics. Both areas are research fields at the intersection of different mathematical disciplines, ranging ...
    • 1635 - Measured Group Theory 

      [OWR-2016-41] Workshop Report 2016,41 (2016) - (28 Aug - 03 Sep 2016)
      The workshop aimed to study discrete and Lie groups and their actions using measure theoretic methods and their asymptotic invariants, such as $\ell^2$-invariants, the rank gradient, cost, torsion growth, entropy-type ...
    • 1611 - Mechanics of Materials: Mechanics of Interfaces and Evolving Microstructure 

      [OWR-2016-17] Workshop Report 2016,17 (2016) - (13 Mar - 19 Mar 2016)
      Emphasis in modern day efforts in mechanics of materials is increasingly directed towards integration with computational materials science, which itself rests on solid physical and mathematical foundations in thermodynamics ...
    • 1606b - Mini-Workshop: Applied Koopmanism 

      [OWR-2016-7] Workshop Report 2016,7 (2016) - (07 Feb - 13 Feb 2016)
      Koopman and Perron–Frobenius operators are linear operators that encapsulate dynamics of nonlinear dynamical systems without loss of information. This is accomplished by embedding the dynamics into a larger infinite-dimensional ...
    • 1609b - Mini-Workshop: Arrangements of Subvarieties, and their Applications in Algebraic Geometry 

      [OWR-2016-14] Workshop Report 2016,14 (2016) - (28 Feb - 05 Mar 2016)
      While arrangements of hyperplanes have been studied in algebra, combinatorics and geometry for a long time, recent discoveries suggest that they (and more generally arrangements of nonlinear subvarieties) play an even more ...
    • 1644c - Mini-Workshop: Computations in the Cohomology of Arithmetic Groups 

      [OWR-2016-52] Workshop Report 2016,52 (2016) - (30 Oct - 05 Nov 2016)
      Explicit calculations play an important role in the theoretical development of the cohomology of groups and its applications. It is becoming more common for such calculations to be derived with the aid of a computer. This ...
    • 1644a - Mini-Workshop: Fast Solvers for Highly Oscillatory Problems 

      [OWR-2016-50] Workshop Report 2016,50 (2016) - (30 Oct - 05 Nov 2016)
      The efficient numerical solution of highly oscillatory problems is one of the grand challenges of Applied Mathematics with diverse applications across the natural sciences and engineering. This workshop brings together ...
    • 1606c - Mini-Workshop: Mathematical Foundations of Isogeometric Analysis 

      [OWR-2016-8] Workshop Report 2016,8 (2016) - (07 Feb - 13 Feb 2016)
      Isogeometric Analysis (IgA) is a new paradigm which is designed to merge two so far disjoint disciplines, namely, numerical simulations for partial differential equations (PDEs) and applied geometry. Initiated by the ...
    • 1644b - Mini-Workshop: Mathematics of Magnetoelastic Materials 

      [OWR-2016-51] Workshop Report 2016,51 (2016) - (30 Oct - 05 Nov 2016)
      The unifying theme of the workshop was the mathematical modeling, analysis, and numerical simulation of materials which involve magnetic and elastic interactions. During the workshop we identified several open problems ...
    • 1651b - Mini-Workshop: Max Dehn: his Life, Work, and Influence 

      [OWR-2016-59] Workshop Report 2016,59 (2016) - (18 Dec - 23 Dec 2016)
      This mini-workshop is part of a long-term project that aims to produce a book documenting Max Dehn’s singular life and career. The meeting brought together scholars with various kinds of expertise, several of whom gave ...
    • 1651a - Mini-Workshop: New Interactions between Homotopical Algebra and Quantum Field Theory 

      [OWR-2016-58] Workshop Report 2016,58 (2016) - (18 Dec - 23 Dec 2016)
      Recent developments in quantum field theory strongly call for techniques from homotopical algebra to develop the mathematical foundations of quantum gauge theories. This mini-workshop brought together experts working at ...