Oberwolfach Reports: Recent submissions

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    • 1125 - Algebraische Zahlentheorie 

      [OWR-2011-31] Workshop Report 2011,31 (2011) - (19 Jun - 25 Jun 2011)
      The workshop brought together researchers from Europe, Japan and the US, who reported on various recent developments in algebraic number theory and related fields. Dominant topics were Shimura varieties, automorphic forms ...

    • 1123 - Arithmetic Groups vs. Mapping Class Groups: Similarities, Analogies and Differences 

      [OWR-2011-30] Workshop Report 2011,30 (2011) - (05 Jun - 11 Jun 2011)
      Arithmetic groups arise naturally in many fields such as number theory, algebraic geometry, and analysis. Mapping class groups arise in both low dimensional topology and geometric group theory. They have been studied ...

    • 1122 - Stochastic Analysis 

      [OWR-2011-29] Workshop Report 2011,29 (2011) - (29 May - 04 Jun 2011)
      The meeting took place on May 30-June 3, 2011, with over 55 people in attendance. Each day had 6 to 7 talks of varying length (some talks were 30 minutes long), except for Thursday: the traditional hike was moved to Thursday ...

    • 1121 - Schnelle Löser für Partielle Differentialgleichungen 

      [OWR-2011-28] Workshop Report 2011,28 (2011) - (22 May - 28 May 2011)
      The workshop Schnelle Löser für partielle Differentialgleichungen, organised by Randolph E. Bank (La Jolla), Wolfgang Hackbusch (Leipzig), and Gabriel Wittum (Frankfurt am Main), was held May 22nd–May 28th, 2011. This ...

    • 1120b - New Directions in Algebraic K-Theory 

      [OWR-2011-27] Workshop Report 2011,27 (2011) - (15 May - 21 May 2011)
      This meeting brought together algebraic geometers, algebraic topologists and geometric topologists, all of whom use algebraic K-theory. The talks and discussions involved all the participants.

    • 1120a - Finite-dimensional Approximations of Discrete Groups 

      [OWR-2011-26] Workshop Report 2011,26 (2011) - (15 May - 21 May 2011)
      The main objective of this workshop was to bring together experts from various fields, which are all interested in finite and finite-dimensional approximations of infinite algebraic and analytic objects, such as groups, ...

    • 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 ...