• 1226 - Learning Theory and Approximation 

      [OWR-2012-31] Workshop Report 2012,31 (2012) - (24 Jun - 30 Jun 2012)
      Learning theory studies data structures from samples and aims at understanding unknown function relations behind them. This leads to interesting theoretical problems which can be often attacked with methods from Approximation ...
    • 1235 - Low-Dimensional Topology and Number Theory 

      [OWR-2012-42] Workshop Report 2012,42 (2012) - (26 Aug - 01 Sep 2012)
      The workshop brought together topologists and number theorists with the intent of exploring the many tantalizing connections between these areas.
    • 1249 - Mathematical and Algorithmic Aspects of Atmosphere-Ocean Data Assimilation 

      [OWR-2012-58] Workshop Report 2012,58 (2012) - (02 Dec - 08 Dec 2012)
      The nomenclature “data assimilation” arises from applications in the geosciences where complex mathematical models are interfaced with observational data in order to improve model forecasts. Mathematically, data assimilation ...
    • 1231 - Mathematical Aspects of General Relativity 

      [OWR-2012-37] Workshop Report 2012,37 (2012) - (29 Jul - 04 Aug 2012)
      Mathematical general relativity, the subject of this workshop, is a remarkable confluence of different areas of mathematics. Einstein’s equation, the focus of mathematical relativity, is one of the most fruitful nonlinear ...
    • 1233 - Mathematical Aspects of Hydrodynamics 

      [OWR-2012-39] Workshop Report 2012,39 (2012) - (12 Aug - 18 Aug 2012)
      The workshop dealt with the partial differential equations that describe fluid motion, namely the Euler equations and the Navier-Stokes equations. Many of the lectures concerned questions of existence and regularity of ...
    • 1212 - Mechanics of Materials 

      [OWR-2012-15] Workshop Report 2012,15 (2012) - (18 Mar - 24 Mar 2012)
      The rapid advances of modern fabrications technologies require a thorough understanding of physical and mechanical properties of materials as influenced by their atomic composition, processing history and structure at the ...
    • 1201b - Mini-Workshop: Boundary Value Problems and Spectral Geometry 

      [OWR-2012-2] Workshop Report 2012,2 (2012) - (01 Jan - 07 Jan 2012)
      Boundary value problems and spectral geometry is an attractive and rapidly developing area in modern mathematical analysis. The interaction of PDE methods with concepts from operator theory and differential geometry is ...
    • 1240c - Mini-Workshop: Cohomology Rings and Fundamental Groups of Hyperplane Arrangements, Wonderful Compactifications, and Real Toric Varieties 

      [OWR-2012-49] Workshop Report 2012,49 (2012) - (01 Oct - 06 Oct 2012)
      The purpose of this workshop was to bring together researchers with a common interest in the objects mentioned in the title from, respectively, the points of view of toric and tropical geometry, arrangement theory, and ...
    • 1248a - Mini-Workshop: Efficient and Robust Approximation of the Helmholtz Equation 

      [OWR-2012-55] Workshop Report 2012,55 (2012) - (25 Nov - 01 Dec 2012)
      The accurate and efficient treatment of wave propogation phenomena is still a challenging problem. A prototypical equation is the Helmholtz equation at high wavenumbers. For this equation, Babuˇska & Sauter showed in 2000 ...
    • 1215c - Mini-Workshop: Endomorphisms, Semigroups and C*-Algebras of Rings 

      [OWR-2012-20] Workshop Report 2012,20 (2012) - (08 Apr - 14 Apr 2012)
      The main aim of the workshop was to explore recent progress in the study of endomorphisms of $C*$-algebras, semigroup crossed products, graph algebras, ring $C*$-algebras, purely infinite $C*$-algebras and related algebraic ...
    • 1248b - Mini-Workshop: Frontiers in Quantile Regression 

      [OWR-2012-56] Workshop Report 2012,56 (2012) - (25 Nov - 01 Dec 2012)
      Quantiles play an essential role in modern statistics, as emphasized by the fundamental work of Parzen (1978) and Tukey (1977). Quantile regression was introduced by Koenker and Bassett (1978) as a complement to least ...
    • 1215a - Mini-Workshop: Generalizations of Symmetric Spaces 

      [OWR-2012-18] Workshop Report 2012,18 (2012) - (08 Apr - 14 Apr 2012)
      This workshop brought together experts from the areas of algebraic Lie theory, invariant theory, Kac–Moody theory and the theories of Tits buildings and of symmetric spaces. The main focus was on topics related to symmetric ...
    • 1248c - Mini-Workshop: Geometries, Shapes and Topologies in PDE-based Applications 

      [OWR-2012-57] Workshop Report 2012,57 (2012) - (25 Nov - 01 Dec 2012)
      The aim of the workshop was to study geometrical objects and their sensitivities in applications based on partial differential equations or differential variational inequalities. Focus topics comprised analytical investigations, ...
    • 1215b - Mini-Workshop: Hypergraph Turan Problem 

      [OWR-2012-19] Workshop Report 2012,19 (2012) - (08 Apr - 14 Apr 2012)
      This mini-workshop focused on the hypergraph Turán problem. The interest in this difficult and old area was recently re-invigorated by many important developments such as the hypergraph regularity lemmas, flag algebras, ...
    • 1201a - Mini-Workshop: Manifolds with Lower Curvature Bounds 

      [OWR-2012-1] Workshop Report 2012,1 (2012) - (01 Jan - 07 Jan 2012)
      The purpose of the meeting was to relate and study new developments in the geometry and topology of Riemannian manifolds with lower curvature bounds. Special emphasis was given to lower Ricci curvature bounds in the sense ...
    • 1240a - Mini-Workshop: Nichols Algebras and Weyl Groupoids 

      [OWR-2012-47] Workshop Report 2012,47 (2012) - (30 Sep - 06 Oct 2012)
      Nichols algebras are graded braided Hopf algebras satisfying a universal property. Many structural results of a Nichols algebra can be obtained by studying itsWeyl groupoid and its homology. In the mini-workshop, introductions ...
    • 1201c - Mini-Workshop: Thermodynamic Formalism, Geometry and Stochastics 

      [OWR-2012-3] Workshop Report 2012,3 (2012) - (01 Jan - 07 Jan 2012)
      Thermodynamic formalism and all its branches and applications in conformal dynamics, probability theory, stochastics and fractal geometry represent highly important fields in modern Mathematics, which are currently very ...
    • 1240b - Mini-Workshop: Topology of Real Singularities and Motivic Aspects 

      [OWR-2012-48] Workshop Report 2012,48 (2012) - (01 Oct - 06 Oct 2012)
      This workgroup focusses on some recent issues in real singularities, concerning the topology of the Milnor fibre of a singular map and several motivic aspects of singularities of sets definable in some structures over the ...
    • 1245a - Non-Archimedean Analytic Geometry 

      [OWR-2012-53] Workshop Report 2012,53 (2012) - (04 Nov - 10 Nov 2012)
      The workshop focused on recent developments in non-Archimedean analytic geometry with various applications to arithmetic and algebraic geometry. These applications include questions in Arakelov theory, p-adic differential ...
    • 1220 - Nonlinear Evolution Problems 

      [OWR-2012-26] Workshop Report 2012,26 (2012) - (13 May - 19 May 2012)
      In this workshop geometric evolution equations of parabolic type, nonlinear hyperbolic equations, and dispersive equations and their interrelations were the subject of 21 talks and several shorter special presentations.