• 1627a - Statistics for Shape and Geometric Features 

      [OWR-2016-32] (2016) - (03 Jul - 09 Jul 2016)
      The constant emergence of novel technologies result in novel data generating devices and mechanisms that lead to a prevalence of highly complex data. To analyze such data, novel statistical methodologies need to be developed. ...
    • 1619 - Factorization Algebras and Functorial Field Theories 

      [OWR-2016-25] (2016) - (08 May - 14 May 2016)
      Factorization algebras are a new mathematical approach to quantum field theory. They are related to functorial field theories, another approach to quantum field theory. Factorization algebras also figure in current research ...
    • 1610 - Computationally and Statistically Efficient Inference for Complex Large-scale Data 

      [OWR-2016-16] (2016) - (06 Mar - 12 Mar 2016)
      The aim of the highly successful workshop Computationally and statistically efficient inference for large-scale and heterogeneous data was to foster dissemination and collaboration between researchers in the area of ...
    • 1607b - Hochschild Cohomology in Algebra, Geometry, and Topology 

      [OWR-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 ...
    • 1644a - Mini-Workshop: Fast Solvers for Highly Oscillatory Problems 

      [OWR-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 ...
    • 1630 - Recent Mathematical Developments in Quantum Field Theory 

      [OWR-2016-36] (2016) - (24 Jul - 30 Jul 2016)
      This workshop has focused on three areas in mathematical quantum field theory and their interrelations: 1) conformal field theory, 2) constructions of interacting models of quantum field theory by various methods, and 3) ...
    • 1644b - Mini-Workshop: Mathematics of Magnetoelastic Materials 

      [OWR-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 ...
    • 1650 - Asymptotic Phenomena in Local Algebra and Singularity Theory 

      [OWR-2016-57] (2016) - (11 Dec - 17 Dec 2016)
      The goal of this workshop was to highlight, and further, the interactions between local algebra and singularity theory. The timing was serendipitous for both subjects have witnessed tremendous progress recently, much of ...
    • 1609c - Mini-Workshop: Topological Complexity and Related Topics 

      [OWR-2016-15] (2016) - (28 Feb - 05 Mar 2016)
      Topological complexity is a numerical homotopy invariant of topological spaces, of Lusternik-Schnirelmann type, introduced by Farber and motivated by the motion planning problem from topological robotics. This mini-workshop ...
    • 1605 - Algebraic Cobordism and Projective Homogeneous Varieties 

      [OWR-2016-5] (2016) - (31 Jan - 06 Feb 2016)
      The aim of this workshop was to bring together researchers in the theory of projective homogeneous varieties with researchers working on cohomology theories of algebraic varieties, so that the latter can learn about the ...
    • 1638b - Theory and Numerics of Inverse Scattering Problems 

      [OWR-2016-45] (2016) - (18 Sep - 24 Sep 2016)
      This workshop addressed specific inverse problems for the time-harmonic Maxwell’s equations, resp. special cases of these, such as the Helmholtz equation or quasistatic approximations like in impedance tomography. The ...
    • 1635 - Measured Group Theory 

      [OWR-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 ...
    • Jahresbericht | Annual Report - 2015 

      Mathematisches Forschungsinstitut Oberwolfach (Mathematisches Forschungsinstitut Oberwolfach, 2016)
    • High performance computing on smartphones 

      [SNAP-2016-006-EN] Patera, Anthony T.; Urban, Karsten (Mathematisches Forschungsinstitut Oberwolfach, 2016)
      Nowadays there is a strong demand to simulate even real-world engineering problems on small computing devices with very limited capacity, such as a smartphone. We explain, using a concrete example, how we can obtain a ...
    • 1621 - The Renormalization Group 

      [OWR-2016-26] (2016) - (22 May - 28 May 2016)
      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. Since ...
    • 1636 - Self-Adaptive Numerical Methods for Computationally Challenging Problems 

      [OWR-2016-42] (2016) - (04 Sep - 10 Sep 2016)
      Self-adaptive numerical methods provide a powerful and automatic approach in scientific computing. In particular, Adaptive Mesh Refinement (AMR) algorithms have been widely used in computational science and engineering and ...
    • Random sampling of domino and lozenge tilings 

      [SNAP-2016-002-EN] Fusy, Éric (Mathematisches Forschungsinstitut Oberwolfach, 2016)
      A grid region is (roughly speaking) a collection of “elementary cells” (squares, for example, or triangles) in the plane. One can “tile” these grid regions by arranging the cells in pairs. In this snapshot we review different ...
    • 1606a - Mini-Workshop: Operator Spaces and Noncommutative Geometry in Interaction 

      [OWR-2016-6] (2016) - (07 Feb - 13 Feb 2016)
      In recent years, operator space theory has made remarkable appearances in noncommutative geometry, notably in the study of $C^*$-algebras of real reductive groups and the unbounded picture of Kasparov theory. In both these ...
    • 1618 - Rough Paths, Regularity Structures and Related Topics 

      [OWR-2016-24] (2016) - (01 May - 07 May 2016)
      The purpose of the Oberwolfach workshop “Rough Paths and Regularity Structures” was to bring together these researchers, both young and senior, with the aim to consolidate progress in rough path theory and stochastic partial ...
    • Das Problem der Kugelpackung 

      [SNAP-2016-004-DE] Dostert, Maria; Krupp, Stefan; Rolfes, Jan Hendrik (Mathematisches Forschungsinstitut Oberwolfach, 2016)
      Wie würdest du Tennisbälle oder Orangen stapeln? Oder allgemeiner formuliert: Wie dicht lassen sich identische 3-dimensionale Objekte überschneidungsfrei anordnen? Das Problem, welches auch Anwendungen in der digitalen ...