• 1508b - Mini-Workshop: Coideal Subalgebras of Quantum Groups 

      [OWR-2015-10] Workshop Report 2015,10 (2015) - (15 Feb - 21 Feb 2015)
      Coideal subalgebras of quantized enveloping algebras appear naturally if one considers quantum group analogs of Lie subalgebras. Examples appear in the theory of quantum integrable systems with boundary and in harmonic ...
    • 2348a - Mini-Workshop: Combinatorial and Algebraic Structures in Rough Analysis and Related Fields 

      [OWR-2023-54] Workshop Report 2023,54 (2023) - (26 Nov - 02 Dec 2023)
      Recent years have seen an explosion of algebraic methods to study singular stochastic and rough dynamics. These include developments in geometric rough path theory based on the algebra of words, the introduction of ...
    • 0946b - Mini-Workshop: Formal Methods in Commutative Algebra: A View Toward Constructive Homological Algebra 

      [OWR-2009-50] Workshop Report 2009,50 (2009) - (08 Nov - 14 Nov 2009)
      The purpose of the mini-workshop is to bring into the same place different mathematical communities that study constructive homological algebra and are motivated by different applications (e.g., constructive algebra, symbolic ...
    • 1416c - Mini-Workshop: Infinite Dimensional Hopf Algebras 

      [OWR-2014-20] Workshop Report 2014,20 (2014) - (13 Apr - 19 Apr 2014)
      This is a report of the above mini-workshop. It contains brief accounts of all 17 talks given at the meeting, with commentary on their interconnections. A selection of the numerous open questions discussed at and generated ...
    • 1320c - Mini-Workshop: Localising and Tilting in Abelian and Triangulated Categories 

      [OWR-2013-26] Workshop Report 2013,26 (2013) - (12 May - 18 May 2013)
      The workshop brought together experts on localisation theory and tilting theory from different parts of mathematics with the aim of fully exploiting the power of some recent developments in so far rather independent contexts. ...
    • 1240a - Mini-Workshop: Nichols Algebras and Weyl Groupoids 

      [OWR-2012-47] Workshop Report 2012,47 (2012) - (30 Sep - 06 Oct 2012)
      Nichols algebras are graded braided Hopf algebras satisfying a universal property. Many structural results of a Nichols algebra can be obtained by studying itsWeyl groupoid and its homology. In the mini-workshop, introductions ...
    • 0910c - Mini-Workshop: Non-Negativity is a Quantum Phenomenon 

      [OWR-2009-14] Workshop Report 2009,14 (2009) - (01 Mar - 07 Mar 2009)
      In recent publications, the same combinatorial description has arisen for three separate objects of interest: non-negative cells in the real grassmannian (Postnikov, Williams); torus orbits of symplectic leaves in the ...
    • 2106a - Mini-Workshop: Non-semisimple Tensor Categories and Their Semisimplification (online meeting) 

      [OWR-2021-7] Workshop Report 2021,7 (2021) - (07 Feb - 13 Feb 2021)
      Finite tensor categories are, despite their many applications and great interest, notoriously hard to classify. Among them, the semisimple ones (called fusion categories) have been intensively studied. Those with ...
    • 0908b - Mini-Workshop: Product Systems and Independence in Quantum Dynamics 

      [OWR-2009-9] Workshop Report 2009,9 (2009) - (15 Feb - 21 Feb 2009)
      Quantum dynamics, both reversible (i.e., closed quantum systems) and irreversible (i.e., open quantum systems), gives rise to product systems of Hilbert spaces or, more generally, of Hilbert modules. When we consider ...
    • 1946b - Mini-Workshop: Rank One Groups and Exceptional Algebraic Groups 

      [OWR-2019-52] Workshop Report 2019,52 (2019) - (10 Nov - 16 Nov 2019)
      Rank one groups are a class of doubly transitive groups that are natural generalizations of the groups $ \operatorname{SL}_2(k) $. The most interesting examples arise from exceptional algebraic groups of relative rank ...
    • 0908c - Mini-Workshop: Support Varieties 

      [OWR-2009-10] Workshop Report 2009,10 (2009) - (15 Feb - 21 Feb 2009)
      The notion of support is a fundamental concept which provides a geometric approach for studying various algebraic structures. The prototype for this has been Quillen’s description of the algebraic variety corresponding to ...
    • 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 ...
    • 0618b - Mini-Workshop: Zeta Functions, Index and Twisted K-Theory; Interactions with Physics 

      [OWR-2006-21] Workshop Report 2006,21 (2006) - (30 Apr - 06 May 2006)
      The meeting provided an opportunity for number theorists, physicists, topologists and analysts to discuss recent developments and interactions in the area of multiple zeta functions, twisted K-theory, Hopf algebras, and ...
    • 1331 - Multiscale and High-Dimensional Problems 

      [OWR-2013-39] Workshop Report 2013,39 (2013) - (28 Jul - 03 Aug 2013)
      High-dimensional problems appear naturally in various scientific areas, such as PDEs describing complex processes in computational chemistry and physics, or stochastic or parameter-dependent PDEs leading to deterministic ...
    • 2231 - Non-Commutative Geometry and Cyclic Homology 

      [OWR-2022-35] Workshop Report 2022,35 (2022) - (31 Jul - 06 Aug 2022)
      The meeting displayed the cyclic theory as a fundamental mathematical tool with applications in diverse domains such as analysis, algebraic K-theory, algebraic geometry, arithmetic geometry, solid state physics and quantum ...
    • 1337 - Noncommutative Geometry 

      [OWR-2013-45] Workshop Report 2013,45 (2013) - (08 Sep - 14 Sep 2013)
      Noncommutative Geometry applies ideas from geometry to mathematical structures determined by noncommuting variables. This meeting emphasized the connections of Noncommutative Geometry to number theory and ergodic theory.
    • 1325b - Quadratic Forms and Linear Algebraic Groups 

      [OWR-2013-31] Workshop Report 2013,31 (2013) - (16 Jun - 22 Jun 2013)
      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 ...
    • 0920 - Quadratic Forms and Linear Algebraic Groups 

      [OWR-2009-25] Workshop Report 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 ...
    • 0626 - Quadratic Forms and Linear Algebraic Groups 

      [OWR-2006-29] Workshop Report 2006,29 (2006) - (25 Jun - 01 Jul 2006)
      Topics discussed at the Oberwolfach workshop Quadratic Forms and Linear Algebraic Groups, held in June 2006, included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of ...
    • 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 ...