• 1341 - Arbeitsgemeinschaft: Sofic Entropy 

      [OWR-2013-50] Workshop Report 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] Workshop Report 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] Workshop Report 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] Workshop Report 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] Workshop Report 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] Workshop Report 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] Workshop Report 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] Workshop Report 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 ...
    • 2314 - Arbeitsgemeinschaft: Twistor D-Modules and the Decomposition Theorem 

      [OWR-2023-17] Workshop Report 2023,17 (2023) - (02 Apr - 07 Apr 2023)
      The purpose of this Arbeitsgemeinschaft is to introduce the notion of twistor $\mathcal{D}$-modules and their main properties. The guiding principle leading this discussion is Simpson's "meta-theorem", which gives a heuristic ...
    • 1942 - Arbeitsgemeinschaft: Zimmer's Conjecture 

      [OWR-2019-48] Workshop Report 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] Workshop Report 2000,31 (2000) - (30 Jul - 05 Aug 2000)
    • 0432 - Arithmetic Algebraic Geometry 

      [OWR-2004-37] Workshop Report 2004,37 (2004) - (01 Aug - 07 Aug 2004)
    • 0832 - Arithmetic Algebraic Geometry 

      [OWR-2008-35] Workshop Report 2008,35 (2008) - (03 Aug - 09 Aug 2008)
      Arithmetic geometry lies between number theory and algebraic geometry. It deals with schemes over the rings of integers of a numberfield or also over a p-adic completion. For them one investigates geometric properties, ...
    • 0228 - Arithmetic and Differential Galois Groups 

      [TB-2002-34] Workshop Report 2002,34 (2002) - (07 Jul - 13 Jul 2002)
    • 0720 - Arithmetic and Differential Galois Groups 

      [OWR-2007-26] Workshop Report 2007,26 (2007) - (13 May - 19 May 2007)
      Galois theory is the study of symmetries in solution spaces of polynomial and differential equations and more generally of the relation between automorphism groups (or group schemes respectively) and the structure of ...
    • 1232 - Arithmetic Geometry 

      [OWR-2012-38] Workshop Report 2012,38 (2012) - (05 Aug - 11 Aug 2012)
      The focus of the workshop was the connection between algebraic geometry and arithmetic. Most lectures were on p-adic topics, underlining the importance of Fontaine’s theory in the field, namely it gives a relation between ...
    • 1632 - Arithmetic Geometry 

      [OWR-2016-38] Workshop Report 2016,38 (2016) - (07 Aug - 13 Aug 2016)
      Arithmetic geometry is at the interface between algebraic geometry and number theory, and studies schemes over the ring of integers of number fields, or their $p$-adic completions. An emphasis of the workshop was on p-adic ...
    • 2030 - Arithmetic Geometry (hybrid meeting) 

      [OWR-2020-20] Workshop Report 2020,20 (2020) - (19 Jul - 25 Jul 2020)
      Arithmetic geometry is at the interface between algebraic geometry and number theory, and studies schemes over the ring of integers of number fields, or their $p$-adic completions, and connects with representation theory, ...
    • 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 ...
    • 1903 - Arithmetic of Shimura Varieties 

      [OWR-2019-2] Workshop Report 2019,2 (2019) - (13 Jan - 19 Jan 2019)
      Arithmetic properties of Shimura varieties are an exciting topic which has roots in classical topics of algebraic geometry and of number theory such as modular curves and modular forms. This very active research field has ...