Oberwolfach Reports: Recent submissions

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    • 1119 - Billiards, Flat Surfaces, and Dynamics on Moduli Spaces 

      [OWR-2011-25] Workshop Report 2011,25 (2011) - (08 May - 14 May 2011)
      This workshop brought together people working on the dynamics of various flows on moduli spaces, in particular the action of SL$_2(\mathbb R)$ on flat surfaces. The new results presented covered properties of interval ...

    • 1118 - Random Matrices, Geometric Functional Analysis and Algorithms 

      [OWR-2011-24] Workshop Report 2011,24 (2011) - (01 May - 07 May 2011)
      The workshop gathered close to 50 participants on the topics of random matrix theory, high dimensional convex geometry and probabilistic methods in theoretical computer science. It favored cooperation between researchers ...

    • 1117c - Mini-Workshop: Random Trees, Information and Algorithms 

      [OWR-2011-23] Workshop Report 2011,23 (2011) - (24 Apr - 30 Apr 2011)
      The subject of this Mini-Workshop is the probabilistic analysis of random tree models that originate from applications in Computer Science. Emphasis is put on their connections to algorithms and information theory. Trees ...

    • 1117b - Mini-Workshop: Mathematical Models, Analysis, and Numerical Methods for Dynamic Fracture 

      [OWR-2011-22] Workshop Report 2011,22 (2011) - (24 Apr - 30 Apr 2011)
      The mathematical foundation of fracture mechanics has seen considerable advances in the last fifteen years. While this progress has been substantial, it has been largely limited to quasi-static evolutions based on global ...

    • 1117a - Mini-Workshop: Modular Representations of Symmetric Groups and Related Objects 

      [OWR-2011-21] Workshop Report 2011,21 (2011) - (24 Apr - 30 Apr 2011)
      The mini-workshop focussed on the modular representation theory of the symmetric group and other closely related objects, including Hecke algebras and Schur algebras. The topics and problems discussed include computations ...

    • 1116 - Real Enumerative Questions in Complex and Tropical Geometry 

      [OWR-2011-20] Workshop Report 2011,20 (2011) - (17 Apr - 23 Apr 2011)
      The workshop Real Enumerative Questions in Complex and Tropical Geometry was devoted to a wide discussion and exchange of ideas between the best experts representing various points of view on the subject. Enumeration of ...

    • 1115 - Geometric Methods of Complex Analysis 

      [OWR-2011-19] Workshop Report 2011,19 (2011) - (10 Apr - 16 Apr 2011)
      The purpose of this workshop was to discuss recent results in Several Complex Variables, Complex Geometry and Symplectic/Contact Geometry with a special focus on the interplay and exchange of ideas among these areas, which ...

    • 1114 - Arbeitsgemeinschaft: Rational Homotopy Theory in Mathematics and Physics 

      [OWR-2011-18] Workshop Report 2011,18 (2011) - (03 Apr - 08 Apr 2011)
      This Arbeitsgemeinschaft focused on the interplay among rational homotopy theory, differential geometry and the physics of string topology. The talks centered on one hand on how geometry and string topology make use of ...

    • 1113 - Operator Algebras and Representation Theory: Frames, Wavelets and Fractals 

      [OWR-2011-17] Workshop Report 2011,17 (2011) - (27 Mar - 02 Apr 2011)
      The central focus of the workshop was Kadison-Singer conjecture and its connection to operator algebras, harmonic analysis, representation theory and the theory of fractals. The program was intrinsically interdisciplinary ...

    • 1112 - Geometric Numerical Integration 

      [OWR-2011-16] Workshop Report 2011,16 (2011) - (20 Mar - 26 Mar 2011)
      The subject of this workshop was numerical methods that preserve geometric properties of the flow of an ordinary or partial differential equation. This was complemented by the question as to how structure preservation ...

    • 1111 - The Renormalization Group 

      [OWR-2011-15] Workshop Report 2011,15 (2011) - (13 Mar - 19 Mar 2011)
      Invented as a multiscale approach to the theory of critical phenomena, the renormalization group has become a powerful mathematical tool in the analysis of infinite-dimensional systems. Its applications range from classical ...

    • 1110 - Automorphic Forms: New Directions 

      [OWR-2011-14] Workshop Report 2011,14 (2011) - (06 Mar - 12 Mar 2011)
      The workshop on Automorphic Forms: New Directions provided a nice glimpse of the many streams of current research activity in this very active area. Topics included the relative trace formula and periods of automorphic ...

    • 1109a - Mini-Workshop: The Homotopy Interpretation of Constructive Type Theory 

      [OWR-2011-11] Workshop Report 2011,11 (2011) - (27 Feb - 05 Mar 2011)
      Over the past few years it has become apparent that there is a surprising and deep connection between constructive logic and higherdimensional structures in algebraic topology and category theory, in the form of an ...

    • 1109b - Mini-Workshop: History of Numerical and Graphical Tables 

      [OWR-2011-12] Workshop Report 2011,12 (2011) - (27 Feb - 05 Mar 2011)
      Numerical tables were one of the most commonly used instruments of calculation from the earliest periods for which we have evidence of mathematical activity until the appearance of computing machines. Such tables (including ...

    • 1109c - Mini-Workshop: Level Sets and Depth Contours in High Dimensional Data 

      [OWR-2011-13] Workshop Report 2011,13 (2011) - (27 Feb - 05 Mar 2011)
      Extraction of information about the distribution underlying a high-dimensional data set is a formidable, complex problem dominating modern nonparametric statistics. Two general strategies are (i) to extract merely qualitative ...

    • 1108 - Representation Theory of Quivers and Finite Dimensional Algebras 

      [OWR-2011-10] Workshop Report 2011,10 (2011) - (20 Feb - 26 Feb 2011)
      Methods and results from the representation theory of quivers and finite dimensional algebras have led to many interactions with other areas of mathematics. Such areas include the theory of Lie algebras and quantum groups, ...

    • 1107 - Geometric Quantization in the Non-compact Setting 

      [OWR-2011-9] Workshop Report 2011,9 (2011) - (13 Feb - 19 Feb 2011)
      The purpose of the workshop was to bring together mathematicians interested in ”quantization of manifolds” in a broad sense: given classical data, such as a Lie group G acting on a symplectic manifold M, construct a quantum ...

    • 1106 - Topological and Geometric Combinatorics 

      [OWR-2011-8] Workshop Report 2011,8 (2011) - (06 Feb - 12 Feb 2011)
      The 2011 Oberwolfach meeting “Topological and Geometric Combinatorics” was organized by Anders Björner (Stockholm), Gil Kalai (Jerusalem), Isabella Novik (Seattle), and Günter M. Ziegler (Berlin). It covered a wide variety ...

    • 1105 - Trends in Mathematical Imaging and Surface Processing 

      [OWR-2011-7] Workshop Report 2011,7 (2011) - (30 Jan - 05 Feb 2011)
      Motivated both by industrial applications and the challenge of new problems, one observes an increasing interest in the field of image and surface processing over the last years. It has become clear that even though the ...

    • 1104 - Stochastic Analysis in Finance and Insurance 

      [OWR-2011-6] Workshop Report 2011,6 (2011) - (23 Jan - 29 Jan 2011)
      This workshop brought together leading experts and a large number of younger researchers in stochastic analysis and mathematical finance from all over the world. During a highly intense week, participants exchanged during ...