• 0908b - Mini-Workshop: Product Systems and Independence in Quantum Dynamics 

      [OWR-2009-9] Workshop Report 2009,9 (2009) - (15 Feb - 21 Feb 2009)
      Quantum dynamics, both reversible (i.e., closed quantum systems) and irreversible (i.e., open quantum systems), gives rise to product systems of Hilbert spaces or, more generally, of Hilbert modules. When we consider ...
    • 0946a - Mini-Workshop: Spectrum of Transfer Operators: Recent Developments and Applications 

      [OWR-2009-49] Workshop Report 2009,49 (2009) - (08 Nov - 14 Nov 2009)
      Transfer operators and their spectral theory provide a unifying framework for studying stochastic properties of chaotic deterministic dynamical systems. The goal of this workshop was to widen the class of systems that can ...
    • 0908c - Mini-Workshop: Support Varieties 

      [OWR-2009-10] Workshop Report 2009,10 (2009) - (15 Feb - 21 Feb 2009)
      The notion of support is a fundamental concept which provides a geometric approach for studying various algebraic structures. The prototype for this has been Quillen’s description of the algebraic variety corresponding to ...
    • 0950a - Mini-Workshop: The Escaping Set in Transcendental Dynamics 

      [OWR-2009-54] Workshop Report 2009,54 (2009) - (06 Dec - 12 Dec 2009)
      The escaping set of a transcendental entire or meromorphic function consists of all points which tend to infinity under iteration. Its importance in transcendental dynamics has increased significantly in recent years. The ...
    • 0910b - Mini-Workshop: The Pisot Conjecture - From Substitution Dynamical Systems to Rauzy Fractals and Meyer Sets 

      [OWR-2009-13] Workshop Report 2009,13 (2009) - (01 Mar - 07 Mar 2009)
      This mini-workshop brought together researchers with diverse backgrounds and a common interest in facets of the Pisot conjecture, which relates certain properties of a substitution to dynamical properties of the associated ...
    • 0916 - Multiplier Ideal Sheaves in Algebraic and Complex Geometry 

      [OWR-2009-21] Workshop Report 2009,21 (2009) - (12 Apr - 18 Apr 2009)
      The workshop Multiplier Ideal Sheaves in Algebraic and Complex Geometry, organised by Stefan Kebekus (Freiburg), Mihai Paun (Nancy), Georg Schumacher (Marburg) and Yum-Tong Siu (Cambridge MA) was held April 12th – April ...
    • 0937 - Noncommutative Geometry 

      [OWR-2009-41] Workshop Report 2009,41 (2009) - (06 Sep - 12 Sep 2009)
      Many of the different aspects of Noncommutative Geometry were represented in the talks. The list of topics that were covered includes in particular new insight into the geometry of a noncommutative torus, local index formulae ...
    • 0905 - Numerical Techniques for Optimization Problems with PDE Constraints 

      [OWR-2009-4] Workshop Report 2009,4 (2009) - (25 Jan - 31 Jan 2009)
      The development, analysis and implementation of efficient and robust numerical techniques for optimization problems associated with partial differential equations (PDEs) is of utmost importance for the optimal control of ...
    • 0932 - Partielle Differentialgleichungen 

      [OWR-2009-36] Workshop Report 2009,36 (2009) - (02 Aug - 08 Aug 2009)
      The workshop dealt with partial differential equations in geometry and technical applications. The main topics were the combination of nonlinear partial differential equations and geometric problems, regularity of free ...
    • 0938 - PDE and Materials 

      [OWR-2009-42] Workshop Report 2009,42 (2009) - (13 Sep - 19 Sep 2009)
      This workshop brought together mathematicians, physicists and material to discuss emerging applications of mathematics in materials science.
    • 0920 - Quadratic Forms and Linear Algebraic Groups 

      [OWR-2009-25] Workshop Report 2009,25 (2009) - (10 May - 16 May 2009)
      Topics discussed at the workshop Quadratic forms and linear algebraic groups included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic ...
    • 0904 - Random Trees 

      [OWR-2009-3] Workshop Report 2009,3 (2009) - (18 Jan - 24 Jan 2009)
      The meeting was devoted to random trees, a central concept in mathematics that provides a key way of thinking about relationships between objects such as particles in a fluid, individuals in a population, or labels in a ...
    • 0913 - Representations of Finite Groups 

      [OWR-2009-17] Workshop Report 2009,17 (2009) - (22 Mar - 28 Mar 2009)
      The workshop Representations of Finite Groups was organised by Joseph Chuang (London), Markus Linckelmann (Aberdeen), Gunter Malle (Kaiserslautern) and Jeremy Rickard (Bristol). It covered a wide variety of aspects of the ...
    • 0934 - Scaling Limits in Models of Statistical Mechanics 

      [OWR-2009-38] Workshop Report 2009,38 (2009) - (16 Aug - 22 Aug 2009)
      The workshop brought together researchers interested in spatial random processes and their connection to statistical mechanics. The principal subjects of interest were scaling limits and, in general, limit laws for various ...
    • 0939 - Singularities 

      [OWR-2009-43] Workshop Report 2009,43 (2009) - (20 Sep - 26 Sep 2009)
      Local/global Singularity Theory is concerned with the local/global structure of maps and spaces that occur in differential topology or theory of algebraic or analytic varieties. It uses methods from algebra, topology, ...
    • 0912 - Sparse Recovery Problems in High Dimensions: Statistical Inference and Learning Theory 

      [OWR-2009-16] Workshop Report 2009,16 (2009) - (15 Mar - 21 Mar 2009)
      The statistical analysis of high dimensional data requires new techniques, extending results from nonparametric statistics, analysis, probability, approximation theory, and theoretical computer science. The main problem ...
    • 0924 - Strings, Fields and Topology 

      [OWR-2009-28] Workshop Report 2009,28 (2009) - (07 Jun - 13 Jun 2009)
      In recent years, the interplay between traditional geometric topology and theoretical physics, in particular quantum ?eld theory, has played a signi?cant role in the work of many researchers. The idea of this workshop was ...
    • 0906 - The Arithmetic of Fields 

      [OWR-2009-5] Workshop Report 2009,5 (2009) - (01 Feb - 07 Feb 2009)
      The workshop “The Arithmetic of Fields” focused on a series of problems concerning the interplay between number theory, arithmetic and algebraic geometry, Galois theory, and model theory, such as: the Galois theory of ...
    • 0921 - Topological and Variational Methods for Partial Differential Equations 

      [OWR-2009-26] Workshop Report 2009,26 (2009) - (17 May - 23 May 2009)
      In recent years, there has been a major impact of topological and variational methods on the study of nonlinear elliptic and parabolic partial differential equations. In particular, surprising results for classical open ...
    • 0902 - Toric Geometry 

      [OWR-2009-1] Workshop Report 2009,1 (2009) - (04 Jan - 10 Jan 2009)
      Toric Geometry originated from investigations of torus actions on geometric and algebraic objects. It is addressed through algebraic geometry, symplectic geometry, equivariant topology, as well as the theory of convex ...