• 2228 - Algebraic Geometry: Moduli Spaces, Birational Geometry and Derived Aspects 

      [OWR-2022-32] Workshop Report 2022,32 (2022) - (10 Jul - 16 Jul 2022)
      The workshop covered recent developments in algebraic geometry in a broad sense with a special emphasis on various moduli spaces. Problems related to mirror symmetry phenomena were discussed in a number of talks as well ...
    • 2219 - Algebraic K-Theory 

      [OWR-2022-24] Workshop Report 2022,24 (2022) - (08 May - 14 May 2022)
      Algebraic $K$-theory has seen further progress during the last three years. One important aspect of this recent progress has been a better conceptual understanding of motivic filtrations on $K$-theory and the systematic ...
    • 2249a - Algebraic Structures in Statistical Methodology 

      [OWR-2022-55] Workshop Report 2022,55 (2022) - (04 Dec - 10 Dec 2022)
      Algebraic structures arise naturally in a broad variety of statistical problems, and numerous fruitful connections have been made between algebra and discrete mathematics and research on statistical methodology. The ...
    • 2214 - Arbeitsgemeinschaft: Geometric Representation Theory 

      [OWR-2022-18] Workshop Report 2022,18 (2022) - (03 Apr - 09 Apr 2022)
      Our understanding of algebraic representations of reductive algebraic groups in positive characteristic has seen big advances in the last years and has been largely transformed into the geometric theory of studying parity ...
    • 2215b - Conic Linear Optimization for Computer-Assisted Proofs 

      [OWR-2022-20] Workshop Report 2022,20 (2022) - (10 Apr - 16 Apr 2022)
      From a mathematical perspective, optimization is the science of proving inequalities. In this sense, computational optimization is a method for computer-assisted proofs. Conic (linear) optimization is ...
    • 2218 - Interactions between Algebraic Geometry and Noncommutative Algebra 

      [OWR-2022-23] Workshop Report 2022,23 (2022) - (01 May - 07 May 2022)
      This workshop was on the interactions between noncommutative algebra, representation theory and algebraic geometry. The major objective was to bring together researchers from those areas with the focus on topics and ...
    • 2207a - Interpolation, Approximation, and Algebra 

      [OWR-2022-7] Workshop Report 2022,7 (2022) - (13 Feb - 19 Feb 2022)
      This report involves two concepts of geometric modeling: multi-variate data interpolation by polynomials, and the study of generalized bary\-centric coordinates. These topics are connected to a wide range of of applications, ...
    • 2240b - Mini-Workshop: Quantization of Complex Symplectic Varieties 

      [OWR-2022-45] Workshop Report 2022,45 (2022) - (02 Oct - 08 Oct 2022)
      The mini-workshop featured two main series of lectures: "Functoriality in non-abelian Hodge theory" by Tony Pantev, and "Quantization of the Hitchin system and the analytic Langlands program" by Jörg Teschner. In ...
    • 2248c - Mini-Workshop: Subvarieties in Projective Spaces and Their Projections 

      [OWR-2022-54] Workshop Report 2022,54 (2022) - (27 Nov - 03 Dec 2022)
      The major goals of this workshop are to lay paths for a systematic study of geproci (and related, e.g., projecting to almost complete intersections or full intersections) sets of points in projective spaces, study ...
    • 2205 - Non-Archimedean Geometry and Applications 

      [OWR-2022-5] Workshop Report 2022,5 (2022) - (30 Jan - 05 Feb 2022)
      The workshop focused on recent developments in non-Archime-dean analytic geometry with various applications to other fields. The topics of the talks included foundational results on analytic spaces as well as applications ...
    • 2213 - Toric Geometry 

      [OWR-2022-17] Workshop Report 2022,17 (2022) - (27 Mar - 02 Apr 2022)
      Toric geometry is a vibrant subfield of algebraic geometry that draws on strong connections to combinatorics. The 2022 workshop brought together a broad group of mathematicians both in-person and virtually to ...