• 1541 - Arbeitsgemeinschaft: Mathematical Quasicrystals 

      [OWR-2015-44] (2015) - (04 Oct - 09 Oct 2015)
      This introductory workshop encouraged participants to read important recent works in the topology, geometry and dynamics of highly regular (but aperiodic) discrete sets in Euclidean spaces, and their corresponding tiling ...
    • 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 ...
    • 0914 - Arbeitsgemeinschaft: Optimal Transport and Geometry 

      [OWR-2009-18] (2009) - (29 Mar - 04 Apr 2009)
      This Arbeitsgemeinschaft was devoted to recent developments in optimal transport with emphasis on links and applications to geometry. The topics reached from the origin of optimal transport as a variational problem, where ...
    • 0741 - Arbeitsgemeinschaft: Percolation 

      [OWR-2007-48] (2007) - (07 Oct - 13 Oct 2007)
      Abstract. Percolation as a mathematical theory is more than fifty years old. During its life, it has attracted the attention of both physicists and mathematicians. This is due in large part to the fact that it represents ...
    • 2242 - Arbeitsgemeinschaft: Quantitative Stochastic Homogenization 

      [OWR-2022-48] (2022) - (16 Oct - 22 Oct 2022)
      Homogenization means approximating the effective, i.e. macroscopic, behavior of a heterogeneous medium by a homogeneous one, which amounts to a substantial conceptual and practical reduction of complexity. Stochastic ...
    • 1141 - Arbeitsgemeinschaft: Quantum Ergodicity 

      [OWR-2011-49] (2011) - (09 Oct - 14 Oct 2011)
      Quantum Ergodicity aims at understanding the eigenstates of quantum mechanical systems admitting chaotic classical limiting dynamics. A paradigmatic system is the Laplace-Beltrami operator on a compact manifold of negative ...
    • 1214 - Arbeitsgemeinschaft: Quasiperiodic Schrödinger Operators 

      [OWR-2012-17] (2012) - (01 Apr - 07 Apr 2012)
      This Arbeitsgemeinschaft discussed the spectral properties of quasi-periodic Schrödinger operators in one space dimension. After presenting background material on Schrödinger operators with dynamically defined potentials ...
    • 1114 - Arbeitsgemeinschaft: Rational Homotopy Theory in Mathematics and Physics 

      [OWR-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 ...
    • 0841 - Arbeitsgemeinschaft: Ricci Flow and the Poincare Conjecture 

      [OWR-2008-46] (2008) - (05 Oct - 11 Oct 2008)
    • 1841 - Arbeitsgemeinschaft: Rigidity of Stationary Measure 

      [OWR-2018-47] (2018) - (07 Oct - 12 Oct 2018)
      The aim of this Arbeitsgemeinschaft was to understand the classification of stationary measures for semisimple random walks on a finite volume homogeneous space and its applications as described in the two papers [1] and [2].
    • 1341 - Arbeitsgemeinschaft: Sofic Entropy 

      [OWR-2013-50] (2013) - (06 Oct - 11 Oct 2013)
      The notion of soficity for a group is a weak type of finite approximation property that simultaneously generalizes both amenability and residual finiteness. In 2008 L. Bowen discovered how it can be used to significantly ...
    • 1414 - Arbeitsgemeinschaft: Superrigidity 

      [OWR-2014-16] (2014) - (30 Mar - 05 Apr 2014)
      The purpose of the Arbeitsgemeinschaft was to review old and new phenomenas of rigidity in mathematics. The broad spectrum of such results was covered, such as Margulis-Zimmer superrigidity, cocyle and character rigidity.
    • 1614 - Arbeitsgemeinschaft: The Geometric Langlands Conjecture 

      [OWR-2016-20] (2016) - (03 Apr - 09 Apr 2016)
      The Langlands program is a vast, loosely connected, collection of theorems and conjectures. At quite different ends, there is the geometric Langlands program, which deals with perverse sheaves on the stack of $G$-bundles ...
    • 1514 - Arbeitsgemeinschaft: The Kadison-Singer Conjecture 

      [OWR-2015-17] (2015) - (29 Mar - 04 Apr 2015)
      The solution to the Kadison–Singer conjecture used techniques that intersect a number of areas of mathematics. The goal of this Arbeitsgemeinschaft was to bring together people from each of these fields to support interactions ...
    • 2141 - Arbeitsgemeinschaft: Thin Groups and Super-approximation (hybrid meeting) 

      [OWR-2021-50] (2021) - (10 Oct - 15 Oct 2021)
      The aim of this workshop was to discuss the super-approximation of thin groups, its dynamical implications in terms of the mixing of geodesic flows, and applications to various problems in arithmetic, geometry, and dynamics.
    • 1814 - Arbeitsgemeinschaft: Topological Cyclic Homology 

      [OWR-2018-15] (2018) - (01 Apr - 07 Apr 2018)
      Introduced by Bökstedt-Hsiang-Madsen in the nineties, topological cyclic homology is a manifestation of the dual visions of Connes-Tsygan and Waldhausen to extend de Rham cohomology to a noncommutative setting and to ...
    • 1041 - Arbeitsgemeinschaft: Topological Robotics 

      [OWR-2010-47] (2010) - (10 Oct - 16 Oct 2010)
      The purpose of the Arbeitsgemeinschaft was to enable PhD students and researchers to study Topological Robotics, a new field investigating topological problems motivated by robotics and engineering as well as problems of ...
    • 1441 - Arbeitsgemeinschaft: Totally Disconnected Groups 

      [OWR-2014-47] (2014) - (05 Oct - 10 Oct 2014)
      Locally compact groups are ubiquitous in the study of many continuous or discrete structures across geometry, analysis and algebra. Every locally compact group is an extension of a connected group by a totally disconnected ...
    • 1942 - Arbeitsgemeinschaft: Zimmer's Conjecture 

      [OWR-2019-48] (2019) - (13 Oct - 18 Oct 2019)
      The aim of this Arbeitsgemeinschaft was to understand the recent progress on Zimmer's conjecture in [1,2]. The week focuses on the cocompact case from [1].
    • 0031 - Arithmetic Algebraic Geometry 

      [TB-2000-31] (2000) - (30 Jul - 05 Aug 2000)