• 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 ...
    • 1829 - Classical Algebraic Geometry 

      [OWR-2018-33] Workshop Report 2018,33 (2018) - (15 Jul - 21 Jul 2018)
      Progress in algebraic geometry often comes through the introduction of new tools and ideas to tackle the classical problems in the development of the field. Examples include new invariants that capture some aspect of ...
    • 1838 - Flat Surfaces and Algebraic Curves 

      [OWR-2018-42] Workshop Report 2018,42 (2018) - (16 Sep - 22 Sep 2018)
      This workshop brought together two distinct communities: “flat” geometers, studying the moduli of flat surfaces, and Teichmüller dynamics, and algebraic geometers studying the moduli space of curves. While both communities ...
    • 1833 - Geometric Methods of Complex Analysis 

      [OWR-2018-37] Workshop Report 2018,37 (2018) - (12 Aug - 18 Aug 2018)
      The purpose of this workshop was to discuss recent results in Several Complex Variables, Complex Geometry and Complex Dynamical Systems with a special focus on the exchange of ideas and methods among these areas. The main ...
    • 1822 - Interactions between Algebraic Geometry and Noncommutative Algebra 

      [OWR-2018-24] Workshop Report 2018,24 (2018) - (27 May - 02 Jun 2018)
      The workshop presented current developments exploring the boundaries and intersections between the fields of noncommutative algebra and representation theory on the one hand, and algebraic geometry on the other hand, with ...
    • 1840c - Mini-Workshop: Algebraic, Geometric, and Combinatorial Methods in Frame Theory 

      [OWR-2018-46] Workshop Report 2018,46 (2018) - (30 Sep - 06 Oct 2018)
      Frames are collections of vectors in a Hilbert space which have reconstruction properties similar to orthonormal bases and applications in areas such as signal and image processing, quantum information theory, quantization, ...
    • 1816a - Mini-Workshop: Arithmetic Geometry and Symmetries around Galois and Fundamental Groups 

      [OWR-2018-17] Workshop Report 2018,17 (2018) - (15 Apr - 21 Apr 2018)
      The geometric study of the absolute Galois group of the rational numbers has been a highly active research topic since the first milestones: Hilbert’s Irreducibility Theorem, Noether’s program, Riemann’s Existence Theorem. ...
    • 1840b - Mini-Workshop: Asymptotic Invariants of Homogeneous Ideals 

      [OWR-2018-45] Workshop Report 2018,45 (2018) - (30 Sep - 06 Oct 2018)
      Recent decades have witnessed a shift in interest from isolated objects to families of objects and their limit behavior, both in algebraic geometry and in commutative algebra. A series of various invariants have been ...
    • 1810a - Mini-Workshop: Chromatic Phenomena and Duality in Homotopy Theory and Representation Theory 

      [OWR-2018-9] Workshop Report 2018,9 (2018) - (04 Mar - 10 Mar 2018)
      This mini-workshop focused on chromatic phenomena and duality as unifying themes in algebra, geometry, and topology. The overarching goal was to establish a fruitful exchange of ideas between experts from various areas, ...
    • 1836 - New Trends in Teichmüller Theory and Mapping Class Groups 

      [OWR-2018-40] Workshop Report 2018,40 (2018) - (02 Sep - 08 Sep 2018)
      In this workshop, various topics in Teichmüller theory and mapping class groups were discussed. Twenty-three talks dealing with classical topics and new directions in this field were given. A problem session was organised ...
    • 1818 - Quadratic Forms and Related Structures over Fields 

      [OWR-2018-21] Workshop Report 2018,21 (2018) - (29 Apr - 05 May 2018)
      The range of topics discussed at the workshop “Quadratic Forms and Related Structures over Fields” included core themes from the algebraic theory of quadratic and hermitian forms and their Witt groups, several aspects of ...
    • 1804 - Statistics for Data with Geometric Structure 

      [OWR-2018-3] Workshop Report 2018,3 (2018) - (21 Jan - 27 Jan 2018)
      Statistics for data with geometric structure is an active and diverse topic of research. Applications include manifold spaces in directional data or symmetric positive definite matrices and some shape representations. But ...
    • 1825a - Subgroups of Cremona Groups 

      [OWR-2018-28] Workshop Report 2018,28 (2018) - (17 Jun - 23 Jun 2018)
      There have been recent breakthroughs in two related questions: the study of Cremona groups, and the problem of rationality of algebraic varieties. Our workshop brought together algebraic geometers, who discussed and tried ...
    • 1803 - Topology of Arrangements and Representation Stability 

      [OWR-2018-2] Workshop Report 2018,2 (2018) - (14 Jan - 20 Jan 2018)
      The workshop “Topology of arrangements and representation stability” brought together two directions of research: the topology and geometry of hyperplane, toric and elliptic arrangements, and the homological and representation ...