• 0918 - Combinatorics and Probability 

      [OWR-2009-23] (2009) - (26 Apr - 02 May 2009)
      The effective application of probabilistic reasoning in the study of problems in diverse areas is one of the most exciting recent developments in Mathematics. Probabilistic methods turned out to be very powerful in Discrete ...
    • 0916 - Multiplier Ideal Sheaves in Algebraic and Complex Geometry 

      [OWR-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 ...
    • 0940 - Complex Algebraic Geometry 

      [OWR-2009-44] (2009) - (27 Sep - 03 Oct 2009)
      The Conference focused on several classical and novel theories in the realm of complex algebraic geometry, such as Algebraic surfaces, Moduli theory, Minimal Model Program, Abelian Varieties, Holomorphic Symplectic Varieties, ...
    • 0946b - Mini-Workshop: Formal Methods in Commutative Algebra: A View Toward Constructive Homological Algebra 

      [OWR-2009-50] (2009) - (08 Nov - 14 Nov 2009)
      The purpose of the mini-workshop is to bring into the same place different mathematical communities that study constructive homological algebra and are motivated by different applications (e.g., constructive algebra, symbolic ...
    • Jahresbericht | Annual Report - 2008 

      Mathematisches Forschungsinstitut Oberwolfach (Mathematisches Forschungsinstitut Oberwolfach, 2009)
    • 0937 - Noncommutative Geometry 

      [OWR-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 ...
    • 0915b - Hilbert Modules and Complex Geometry 

      [OWR-2009-20] (2009) - (05 Apr - 11 Apr 2009)
      The major topics discussed in this workshop were Hilbert modules of analytic functions on domains in ℂn, Toeplitz and Hankel operators, the interplay of commutative algebra, complex analytic geometry and multivariable ...
    • 0927 - Algebraic K-Theory and Motivic Cohomology 

      [OWR-2009-31] (2009) - (28 Jun - 04 Jul 2009)
      Algebraic K-theory and the related motivic cohomology are a systematic way of producing invariants for algebraic or geometric structures. Its definition and methods are taken from algebraic topology, but it has also proved ...
    • 0946a - Mini-Workshop: Spectrum of Transfer Operators: Recent Developments and Applications 

      [OWR-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 ...
    • 0942 - Mathematical Aspects of General Relativity 

      [OWR-2009-46] (2009) - (11 Oct - 17 Oct 2009)
      Mathematical relativity, the subject of this conference, has recently become more and more devoted to the theory of nonlinear evolution equations, with global questions becoming ever more accessible. This is reflected by ...
    • 0907a - Low Eigenvalues of Laplace and Schrödinger Operators 

      [OWR-2009-6] (2009) - (08 Feb - 14 Feb 2009)
      This workshop brought together researchers interested in eigenvalue problems for Laplace and Schr¨dinger operators. The main topics o of discussions and investigations covered Dirichlet and Neumann eigenvalue problems, ...
    • 0908c - Mini-Workshop: Support Varieties 

      [OWR-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 ...
    • 0902 - Toric Geometry 

      [OWR-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 ...
    • 0910a - Mini-Workshop: Numerical Upscaling for Flow Problems: Theory and Applications 

      [OWR-2009-12] (2009) - (01 Mar - 07 Mar 2009)
      The objective of this workshop was to bring together researchers working in multiscale simulations with emphasis on multigrid methods and multiscale finite element methods, aiming at chieving of better understanding and ...
    • 0910c - Mini-Workshop: Non-Negativity is a Quantum Phenomenon 

      [OWR-2009-14] (2009) - (01 Mar - 07 Mar 2009)
      In recent publications, the same combinatorial description has arisen for three separate objects of interest: non-negative cells in the real grassmannian (Postnikov, Williams); torus orbits of symplectic leaves in the ...
    • Lectures on Algebraic Statistics 

      [OWS-39] Drton, Mathias; Sturmfels, Bernd; Sullivant, Seth (Birkhäuser Basel, 2009)
      How does an algebraic geometer studying secant varieties further the understanding of hypothesis tests in statistics? Why would a statistician working on factor analysis raise open problems about determinantal varieties? ...
    • 0909 - Control Theory: On the Way to New Application Fields 

      [OWR-2009-11] (2009) - (22 Feb - 28 Feb 2009)
      Control theory is an interdisciplinary field that is located at the crossroads of pure and applied mathematics with systems engineering and the sciences. Recently, deep interactions are emerging with new application areas, ...
    • 0924 - Strings, Fields and Topology 

      [OWR-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 ...
    • 0929 - Explicit Methods in Number Theory 

      [OWR-2009-33] (2009) - (12 Jul - 18 Jul 2009)
      These notes contain extended abstracts on the topic of explicit methods in number theory. The range of topics includes asymptotics for field extensions and class numbers, random matrices and L-functions, rational points on ...
    • 0941 - Arbeitsgemeinschaft: Minimal Surfaces 

      [OWR-2009-45] (2009) - (04 Oct - 09 Oct 2009)
      The theory of Minimal Surfaces has developed rapidly in the past 10 years. There are many factors that have contributed to this development: Sophisticated construction methods [14,29,31] have been developed and have ...