• 2116 - Algebraic Groups (hybrid meeting) 

      [OWR-2021-20] Workshop Report 2021,20 (2021) - (18 Apr - 24 Apr 2021)
      Linear algebraic groups is an active research area in contempo- rary mathematics. It has rich connections to algebraic geometry, representa- tion theory, algebraic combinatorics, number theory, algebraic topology, ...
    • 2125 - Classical Algebraic Geometry (hybrid meeting) 

      [OWR-2021-29] Workshop Report 2021,29 (2021) - (20 Jun - 26 Jun 2021)
      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 ...
    • 2124 - Enumerative Geometry of Surfaces (hybrid meeting) 

      [OWR-2021-28] Workshop Report 2021,28 (2021) - (13 Jun - 19 Jun 2021)
      The recent developments in hyperbolic geometry and flat geometry in real dimension $2$ formed the core of the workshop, with an emphasis on enumerative aspects. A particularly important role in this regard was played by ...
    • 2120 - Geometric Methods of Complex Analysis (hybrid meeting) 

      [OWR-2021-25] Workshop Report 2021,25 (2021) - (16 May - 22 May 2021)
      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 ...
    • 2140b - Geometry and Optimization in Quantum Information (hybrid meeting) 

      [OWR-2021-49] Workshop Report 2021,49 (2021) - (03 Oct - 09 Oct 2021)
      Quantum information theory seeks to understand the fundamental limits set by quantum mechanics for information processing tasks. The mathematical aspects of quantum information rely on tools from various fields including ...
    • 2110a - Homotopic and Geometric Galois Theory (online meeting) 

      [OWR-2021-12] Workshop Report 2021,12 (2021) - (07 Mar - 13 Mar 2021)
      In his "Letter to Faltings'', Grothendieck lays the foundation of what will become part of his multi-faceted legacy to arithmetic geometry. This includes the following three branches discussed in the workshop: the arithmetic ...
    • 2104 - Logarithmic Vector Fields and Freeness of Divisors and Arrangements: New perspectives and applications (online meeting) 

      [OWR-2021-5] Workshop Report 2021,5 (2021) - (24 Jan - 30 Jan 2021)
      The central topic of the workshop was the notion of logarithmic vector fields along a divisor in a smooth complex analytic or algebraic variety, i.e., the vector fields on the ambient variety tangent to the divisor. ...
    • 2106c - Mini-Workshop: Nonpositively Curved Complexes (online meeting) 

      [OWR-2021-8] Workshop Report 2021,8 (2021) - (07 Feb - 13 Feb 2021)
      The leading theme of the meeting was to understand nonpositively curved complexes and groups acting on them. Motivations, questions, results, and techniques being presented and discussed come from various areas of ...
    • 2149b - Mini-Workshop: Scattering Amplitudes, Cluster Algebras, and Positive Geometries (hybrid meeting) 

      [OWR-2021-57] Workshop Report 2021,57 (2021) - (05 Dec - 11 Dec 2021)
      Cluster algebras were developed by Fomin and Zelevinsky about twenty years ago. While the initial motivation came from within algebra (total positivity, canonical bases), it quickly became clear that cluster algebras ...
    • 2142a - Mini-Workshop: Three Facets of R-Matrices (hybrid meeting) 

      [OWR-2021-51] Workshop Report 2021,51 (2021) - (17 Oct - 23 Oct 2021)
      By definition, an $R$-matrix with spectral parameter is a solution to the Yang-Baxter equation, introduced in the 1970's by C.N. Yang and R.J. Baxter. Such a matrix encodes the Boltzmann weights of a lattice model of ...
    • 2105 - Moduli spaces and Modular forms (hybrid meeting) 

      [OWR-2021-6] Workshop Report 2021,6 (2021) - (31 Jan - 06 Feb 2021)
      The relation between moduli spaces and modular forms goes back to the theory of elliptic curves. On the one hand both topics experience their own growth and development, but from time to time new unexpected links show ...
    • 2139 - Singularities (hybrid meeting) 

      [OWR-2021-47] Workshop Report 2021,47 (2021) - (26 Sep - 02 Oct 2021)
      Singularity theory concerns local and global structure of singularities of (algebraic) varieties and maps. As such, it combines tools from algebraic geometry, complex analysis, topology, algebra and combinatorics.