• 1243 - Computational Inverse Problems 

      [OWR-2012-51] Workshop Report 2012,51 (2012) - (21 Oct - 27 Oct 2012)
      Inverse problem typically deal with the identification of unknown quantities from indirect measurements and appear in many areas in technology, medicine, biology, finance, and econometrics. The computational solution of ...
    • 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 ...
    • 1241 - Arbeitsgemeinschaft: Ergodic Theory and Combinatorial Number Theory 

      [OWR-2012-50] Workshop Report 2012,50 (2012) - (07 Oct - 13 Oct 2012)
      The aim of this Arbeitsgemeinschaft was to introduce young researchers with various backgrounds to the multifaceted and mutually perpetuating connections between ergodic theory, topological dynamics, combinatorics, and ...
    • 1250 - Convex Geometry and its Applications 

      [OWR-2012-59] Workshop Report 2012,59 (2012) - (09 Dec - 15 Dec 2012)
      The geometry of convex domains in Euclidean space plays a central role in several branches of mathematics: functional and harmonic analysis, the theory of PDE, linear programming and, increasingly, in the study of other ...
    • 1251 - Dynamics of Patterns 

      [OWR-2012-60] Workshop Report 2012,60 (2012) - (16 Dec - 22 Dec 2012)
      Patterns and nonlinear waves arise in many applications. Mathematical descriptions and analyses draw from a variety of fields such as partial differential equations of various types, differential and difference equations ...
    • 1244 - C*-Algebras, Dynamics, and Classification 

      [OWR-2012-52] Workshop Report 2012,52 (2012) - (28 Oct - 03 Nov 2012)
      Classification is a central theme in mathematics, and a particularly rich one in the theory of operator algebras. Indeed, one of the first major results in the theory is Murray and von Neumann’s type classification of ...
    • 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 ...
    • 1246 - Complexity Theory 

      [OWR-2012-54] Workshop Report 2012,54 (2012) - (11 Nov - 17 Nov 2012)
      Computational Complexity Theory is the mathematical study of the intrinsic power and limitations of computational resources like time, space, or randomness. The current workshop focused on recent developments in various ...
    • 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, ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 1218 - Triangulations 

      [OWR-2012-24] Workshop Report 2012,24 (2012) - (29 Apr - 05 May 2012)
      The earliest work in topology was often based on explicit combinatorial models – usually triangulations – for the spaces being studied. Although algebraic methods in topology gradually replaced combinatorial ones in the ...
    • 1224 - Applied Harmonic Analysis and Sparse Approximation 

      [OWR-2012-29] Workshop Report 2012,29 (2012) - (10 Jun - 16 Jun 2012)
      Applied harmonic analysis and sparse approximation are highly active research areas with a lot of recent exciting developments. Their methods have become crucial for a wide range of applications in technology and science, ...
    • 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.
    • 1219 - Analysis and Geometric Singularities 

      [OWR-2012-25] Workshop Report 2012,25 (2012) - (06 May - 12 May 2012)
      This is a report on the Oberwolfach conference “Analysis and Geometric Singularities”, May 6-12, 2012. The main themes discussed in the meeting include the interplay between the analytic, geometric and topological study ...
    • 1223 - Invariants in Low-Dimensional Topology and Knot Theory 

      [OWR-2012-28] Workshop Report 2012,28 (2012) - (03 Jun - 09 Jun 2012)
      This meeting concentrated on topological invariants in low dimensional topology and knot theory. We include both three and four dimensional manifolds in our phrase “low dimensional topology”. The intent of the conference ...
    • 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 ...