• 1516a - Mathematical Theory of Water Waves 

      [OWR-2015-19] Workshop Report 2015,19 (2015) - (12 Apr - 18 Apr 2015)
      The water-wave problem is the study of the two- and three-dimensional flow of a perfect fluid bounded above by a free surface subject to the forces of gravity and surface tension. From a mathematical viewpoint, the water-wave ...
    • 1508b - Mini-Workshop: Coideal Subalgebras of Quantum Groups 

      [OWR-2015-10] Workshop Report 2015,10 (2015) - (15 Feb - 21 Feb 2015)
      Coideal subalgebras of quantized enveloping algebras appear naturally if one considers quantum group analogs of Lie subalgebras. Examples appear in the theory of quantum integrable systems with boundary and in harmonic ...
    • 1508c - Mini-Workshop: Deformation Quantization: between formal to strict 

      [OWR-2015-11] Workshop Report 2015,11 (2015) - (15 Feb - 21 Feb 2015)
      The philosophy of deformation was proposed by Bayen, Flato, Fronsdal, Lichnerowicz, and Sternheimer in the seventies and since then, many developments occurred. Deformation quantization is based on such a philosophy in ...
    • 1507b - Mini-Workshop: Discrete p-Laplacians: Spectral Theory and Variational Methods in Mathematics and Computer Science 

      [OWR-2015-7] Workshop Report 2015,7 (2015) - (08 Feb - 14 Feb 2015)
      The p-Laplacian operators have a rich analytical theory and in the last few years they have also offered efficient tools to tackle several tasks in machine learning. During the workshop mathematicians and theoretical ...
    • 1545a - Mini-Workshop: Friezes 

      [OWR-2015-48] Workshop Report 2015,48 (2015) - (01 Nov - 07 Nov 2015)
      Frieze patterns were introduced in the early 1970s by Coxeter. They are infinite arrays of numbers in which every four neighbouring entries always satisfy the same arithmetic relation. Amazingly, friezes appear in many ...
    • 1508a - Mini-Workshop: Ideals of Linear Subspaces, Their Symbolic Powers and Waring Problems 

      [OWR-2015-9] Workshop Report 2015,9 (2015) - (15 Feb - 21 Feb 2015)
      It is a fundamental challenge for many problems of significant current interest in algebraic geometry and commutative algebra to understand symbolic powers $I^{(m)}$ of homogeneous ideals $I$ in polynomial rings, particularly ...
    • 1545b - Mini-Workshop: Mathematics of Differential Growth, Morphogenesis, and Pattern Selection 

      [OWR-2015-49] Workshop Report 2015,49 (2015) - (01 Nov - 07 Nov 2015)
      Living structures are highly heterogeneous systems that consist of distinct regions made up of characteristic cell types with a specific structural organization. During evolution, development, disease, or environmental ...
    • 1507a - Mini-Workshop: Modern Applications of s-numbers and Operator Ideals 

      [OWR-2015-6] Workshop Report 2015,6 (2015) - (08 Feb - 14 Feb 2015)
      The main aim of this mini-workshop was to present and discuss some modern applications of the functional-analytic concepts of $s$-numbers and operator ideals in areas like Numerical Analysis, Theory of Function Spaces, ...
    • 1546b - Mini-Workshop: Recent Developments in Statistical Methods with Applications to Genetics and Genomics 

      [OWR-2015-52] Workshop Report 2015,52 (2015) - (08 Nov - 14 Nov 2015)
      Recent progress in high-throughput genomic technologies has revolutionized the field of human genetics and promises to lead to important scientific advances. With new improvements in massively parallel biotechnologies, it ...
    • 1545c - Mini-Workshop: Recent Developments on Approximation Methods for Controlled Evolution Equations 

      [OWR-2015-50] Workshop Report 2015,50 (2015) - (01 Nov - 07 Nov 2015)
      This mini-workshop brought together mathematicians engaged in partial differential equations, functional analysis, numerical analysis and systems theory in order to address a number of current problems in the approximation ...
    • 1546c - Mini-Workshop: Scales in Plasticity 

      [OWR-2015-53] Workshop Report 2015,53 (2015) - (08 Nov - 14 Nov 2015)
      This mini-workshop was devoted to the current state of our understanding of dislocations (essentially slips of lines of atoms in a crystalline solid) and of their impact on the macroscopic behavior of those solids.
    • 1546a - Mini-Workshop: Singular Curves on K3 Surfaces and Hyperkähler Manifolds 

      [OWR-2015-51] Workshop Report 2015,51 (2015) - (08 Nov - 14 Nov 2015)
      The workshop focused on Severi varieties on $K3$ surfaces, hyperkähler manifolds and their automorphisms. The main aim was to bring researchers in deformation theory of curves and singularities together with researchers ...
    • 1507c - Mini-Workshop: Singularities in G2-geometry 

      [OWR-2015-8] Workshop Report 2015,8 (2015) - (08 Feb - 14 Feb 2015)
      All currently known construction methods of smooth compact $\mathrm G_2$-manifolds have been tied to certain singular $\mathrm G_2$-spaces, which in Joyce’s original construction are $\mathrm G_2$-orbifolds and in Kovalev’s ...
    • 1517b - Mirror Symmetry, Hodge Theory and Differential Equations 

      [OWR-2015-22] Workshop Report 2015,22 (2015) - (19 Apr - 25 Apr 2015)
      The following is the report on the Oberwolfach workshop Mirror Symmetry, Hodge Theory and Differential Equations (April 2015), which brought together researchers from various areas such as quantum cohomology, complex ...
    • 1543 - Mixed-integer Nonlinear Optimization: A Hatchery for Modern Mathematics 

      [OWR-2015-46] Workshop Report 2015,46 (2015) - (18 Oct - 24 Oct 2015)
      The aim of this workshop was fostering the growth of new mathematical ideas arising from mixed-integer nonlinear optimization. In this regard, the workshop has been a resounding success. It has covered a very diverse ...
    • 1517a - Multivariate Splines and Algebraic Geometry 

      [OWR-2015-21] Workshop Report 2015,21 (2015) - (19 Apr - 25 Apr 2015)
      Multivariate splines are effective tools in numerical analysis and approximation theory. Despite an extensive literature on the subject, there remain open questions in finding their dimension, constructing local bases, and ...
    • 1503 - New Discretization Methods for the Numerical Approximation of PDEs 

      [OWR-2015-2] Workshop Report 2015,2 (2015) - (11 Jan - 17 Jan 2015)
      The construction and mathematical analysis of numerical methods for PDEs is a fundamental area of modern applied mathematics. Among the various techniques that have been proposed in the past, some – in particular, finite ...
    • 1526 - New Perspectives on the Interplay between Discrete Groups in Low-Dimensional Topology and Arithmetic Lattices 

      [OWR-2015-30] Workshop Report 2015,30 (2015) - (21 Jun - 27 Jun 2015)
      This workshop brought together specialists in areas ranging from arithmetic groups to topological quantum field theory, with common interest in arithmetic aspects of discrete groups arising from topology. The meeting showed ...
    • 1551 - Non-Archimedean Geometry and Applications 

      [OWR-2015-57] Workshop Report 2015,57 (2015) - (13 Dec - 19 Dec 2015)
      The workshop focused on recent developments in non-Archimedean analytic geometry with various applications to other fields, in particular to number theory and algebraic geometry. These applications included Mirror Symmetry, ...
    • 1525 - Noncommutative Geometry 

      [OWR-2015-29] Workshop Report 2015,29 (2015) - (14 Jun - 20 Jun 2015)
      These reports contain an account of 2015’s meeting on noncommutative geometry. Noncommutative geometry has developed itself over the years to a completely new branch of mathematics shedding light on many other areas as ...