• On the Lie Algebra Structure of $HH^1(A)$ of a Finite-Dimensional Algebra A 

      [OWP-2019-10] Linckelmann, Markus; Rubio y Degrassi, Lleonard (Mathematisches Forschungsinstitut Oberwolfach, 2019-04-17)
      Let $A$ be a split finite-dimensional associative unital algebra over a field. The first main result of this note shows that if the Ext-quiver of $A$ is a simple directed graph, then $HH^1(A)$ is a solvable Lie algebra. ...
    • Plethysms, replicated Schur functions and series, with applications to vertex operators 

      [OWP-2010-12] Fauser, Bertfried; Jarvis, Peter D.; King, Ronald C. (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-14)
      Specializations of Schur functions are exploited to define and evaluate the Schur functions $s_\lambda [\alpha X]$ and plethysms $s_\lambda [\alpha s_\nu(X))]$ for any $\alpha$-integer, real or complex. Plethysms are then ...
    • Positive Line Bundles Over the Irreducible Quantum Flag Manifolds 

      [OWP-2020-01] Díaz García, Fredy; Krutov, Andrey; Ó Buachalla, Réamonn; Somberg, Petr; Strung, Karen R. (Mathematisches Forschungsinstitut Oberwolfach, 2020-02-03)
      Noncommutative Kähler structures were recently introduced by the third author as a framework for studying noncommutative Kähler geometry on quantum homogeneous spaces. It was subsequently observed that the notion of a ...
    • 0718b - Progress in Surface Theory 

      [OWR-2007-24] (2007) - (29 Apr - 05 May 2007)
      The theory of surfaces has undergone substantial changes in recent years, with many different active areas at this point in time. It has become mainstream to study minimal surfaces and constant mean curvature surfaces in ...
    • 1018 - Progress in Surface Theory 

      [OWR-2010-21] (2010) - (02 May - 08 May 2010)
      The theory of surfaces is interpreted these days as a prototype of submanifold geometry and is characterized by the substantial application of PDE methods and methods from the theory of integrable systems, in addition to ...
    • 0920 - Quadratic Forms and Linear Algebraic Groups 

      [OWR-2009-25] (2009) - (10 May - 16 May 2009)
      Topics discussed at the workshop Quadratic forms and linear algebraic groups included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic ...
    • 1818 - Quadratic Forms and Related Structures over Fields 

      [OWR-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 ...
    • 2212b - Recent Developments in Representation Theory and Mathematical Physics 

      [OWR-2022-16] (2022) - (20 Mar - 26 Mar 2022)
      This mini-workshop was devoted to foster the interactions between mathematicians and mathematical physicists who are working on questions related to representation theory. This includes for example the representation theory ...
    • 1748 - Reflection Positivity 

      [OWR-2017-55] (2017) - (26 Nov - 02 Dec 2017)
      The main theme of the workshop was reflection positivity and its occurences in various areas of mathematics and physics, such as Representation Theory, Quantum Field Theory, Noncommutative Geometry, Dynamical Systems, ...
    • 0808 - Representation Theory of Finite Dimensional Algebras 

      [OWR-2008-9] (2008) - (17 Feb - 23 Feb 2008)
    • 0506 - Representation Theory of Finite-Dimensional Algebras 

      [OWR-2005-6] (2005) - (06 Feb - 12 Feb 2005)
      Methods and results from the representation theory of finite dimensional algebras have led to many interactions with other areas of mathematics. The aim of this workshop was, in addition to stimulating progress in the ...
    • 1708 - Representation Theory of Quivers and Finite Dimensional Algebras 

      [OWR-2017-12] (2017) - (19 Feb - 25 Feb 2017)
      Methods and results from the representation theory of quivers and finite dimensional algebras have led to many interactions with other areas of mathematics. Such areas include the theory of Lie algebras and quantum groups, ...
    • 1108 - Representation Theory of Quivers and Finite Dimensional Algebras 

      [OWR-2011-10] (2011) - (20 Feb - 26 Feb 2011)
      Methods and results from the representation theory of quivers and finite dimensional algebras have led to many interactions with other areas of mathematics. Such areas include the theory of Lie algebras and quantum groups, ...
    • 1408 - Representation Theory of Quivers and Finite Dimensional Algebras 

      [OWR-2014-8] (2014) - (16 Feb - 22 Feb 2014)
      Methods and results from the representation theory of quivers and finite dimensional algebras have led to many interactions with other areas of mathematics. Such areas include the theory of Lie algebras and quantum groups, ...
    • 2004 - Representation Theory of Quivers and Finite Dimensional Algebras 

      [OWR-2020-3] (2020) - (19 Jan - 25 Jan 2020)
      Methods and results from the representation theory of quivers and finite dimensional algebras have led to many interactions with other areas of mathematics. Such areas include the theory of Lie algebras and quantum ...
    • 2307 - Representation Theory of Quivers and Finite-Dimensional Algebras 

      [OWR-2023-7] (2023) - (12 Feb - 18 Feb 2023)
      This workshop was about the representation theory of quivers and finite-dimensional (associative) algebras, and links to other areas of mathematics, including other areas of representation theory, homological algebra, ...
    • 1944 - Subfactors and Applications 

      [OWR-2019-49] (2019) - (27 Oct - 02 Nov 2019)
      The theory of subfactors connects diverse topics in mathematics and mathematical physics such as tensor categories, vertex operator algebras, quantum groups, quantum topology, free probability, quantum field theory, ...
    • 1513 - Subfactors and Conformal Field Theory 

      [OWR-2015-16] (2015) - (22 Mar - 28 Mar 2015)
      Connections between subfactor theory and conformal field theory have been expected since the early days of the former in 1980’s, and recently we see more and more evidence for deeper relations. It was our aim to attract ...
    • Tensor Representations of q(∞) 

      [OWP-2016-09] Grantcharov, Dimitar; Serganova, Vera (Mathematisches Forschungsinstitut Oberwolfach, 2016-06-17)
      We introduce a symmetric monoidal category of modules over the direct limit queer superalgebra $\mathfrak{q}(\infty)$. The category can be defined in two equivalent ways with the aid of the large annihilator condition. ...