Browsing 5  Oberwolfach Reports (OWR) by MSC "17"
Now showing items 2140 of 47

2040a  Lefschetz Properties in Algebra, Geometry and Combinatorics (hybrid meeting)
[OWR202031] (2020)  (27 Sep  03 Oct 2020)The themes of the workshop are the Weak Lefschetz Property  WLP  and the Strong Lefschetz Property  SLP. The name of these properties, referring to Artinian algebras, is motivated by the Lefschetz theory for projective ... 
1910c  MiniWorkshop: Cohomology of Hopf Algebras and Tensor Categories
[OWR201911] (2019)  (03 Mar  09 Mar 2019)The miniworkshop featured some open questions about the cohomology of Hopf algebras and tensor categories. Questions included whether the cohomology ring of a finite dimensional Hopf algebra or a finite tensor ... 
1508b  MiniWorkshop: Coideal Subalgebras of Quantum Groups
[OWR201510] (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 ... 
1941b  MiniWorkshop: Degeneration Techniques in Representation Theory
[OWR201946] (2019)  (06 Oct  12 Oct 2019)Modern Representation Theory has numerous applications in many mathematical areas such as algebraic geometry, combinatorics, convex geometry, mathematical physics, probability. Many of the object and problems of interest ... 
1215a  MiniWorkshop: Generalizations of Symmetric Spaces
[OWR201218] (2012)  (08 Apr  14 Apr 2012)This workshop brought together experts from the areas of algebraic Lie theory, invariant theory, Kac–Moody theory and the theories of Tits buildings and of symmetric spaces. The main focus was on topics related to symmetric ... 
1240a  MiniWorkshop: Nichols Algebras and Weyl Groupoids
[OWR201247] (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 miniworkshop, introductions ... 
0910c  MiniWorkshop: NonNegativity is a Quantum Phenomenon
[OWR200914] (2009)  (01 Mar  07 Mar 2009)In recent publications, the same combinatorial description has arisen for three separate objects of interest: nonnegative cells in the real grassmannian (Postnikov, Williams); torus orbits of symplectic leaves in the ... 
1609a  MiniWorkshop: PBW Structures in Representation Theory
[OWR201613] (2016)  (28 Feb  05 Mar 2016)The PBW structures play a very important role in the Lie theory and in the theory of algebraic groups. The importance is due to the huge number of possible applications. The main goal of the workshop was to bring together ... 
1946b  MiniWorkshop: Rank One Groups and Exceptional Algebraic Groups
[OWR201952] (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 ... 
1449c  MiniWorkshop: Reflection Positivity in Representation Theory, Stochastics and Physics
[OWR201455] (2014)  (30 Nov  06 Dec 2014)The central focus of the workshop was reflection positivity, its occurrence in physics, representation theory, abstract harmonic analysis, and stochastic analysis. The program was intrinsically interdisciplinary and included ... 
0908c  MiniWorkshop: Support Varieties
[OWR200910] (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  MiniWorkshop: Three Facets of RMatrices (hybrid meeting)
[OWR202151] (2021)  (17 Oct  23 Oct 2021)By definition, an $R$matrix with spectral parameter is a solution to the YangBaxter 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 ... 
0718b  Progress in Surface Theory
[OWR200724] (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
[OWR201021] (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
[OWR200925] (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
[OWR201821] (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
[OWR202216] (2022)  (20 Mar  26 Mar 2022)This miniworkshop 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
[OWR201755] (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
[OWR20089] (2008)  (17 Feb  23 Feb 2008) 
0506  Representation Theory of FiniteDimensional Algebras
[OWR20056] (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 ...