Browsing Oberwolfach Reports by MSC "20"
Now showing items 61-80 of 122
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1810a - Mini-Workshop: Chromatic Phenomena and Duality in Homotopy Theory and Representation Theory
[OWR-2018-9] (2018) - (04 Mar - 10 Mar 2018)This mini-workshop focused on chromatic phenomena and duality as unifying themes in algebra, geometry, and topology. The overarching goal was to establish a fruitful exchange of ideas between experts from various areas, ... -
1910c - Mini-Workshop: Cohomology of Hopf Algebras and Tensor Categories
[OWR-2019-11] (2019) - (03 Mar - 09 Mar 2019)The mini-workshop 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 ... -
1240c - Mini-Workshop: Cohomology Rings and Fundamental Groups of Hyperplane Arrangements, Wonderful Compactifications, and Real Toric Varieties
[OWR-2012-49] (2012) - (01 Oct - 06 Oct 2012)The purpose of this workshop was to bring together researchers with a common interest in the objects mentioned in the title from, respectively, the points of view of toric and tropical geometry, arrangement theory, and ... -
1508b - Mini-Workshop: Coideal Subalgebras of Quantum Groups
[OWR-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 ... -
1034b - Mini-Workshop: Combinatorics on Words
[OWR-2010-37] (2010) - (22 Aug - 28 Aug 2010)The area of combinatorics on words is concerned with properties of sequences of symbols. It is characteristic to the field that questions arise from various mathematical problems, and hence, many fundamental results on ... -
1644c - Mini-Workshop: Computations in the Cohomology of Arithmetic Groups
[OWR-2016-52] (2016) - (30 Oct - 05 Nov 2016)Explicit calculations play an important role in the theoretical development of the cohomology of groups and its applications. It is becoming more common for such calculations to be derived with the aid of a computer. This ... -
1941b - Mini-Workshop: Degeneration Techniques in Representation Theory
[OWR-2019-46] (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 ... -
1034c - Mini-Workshop: Exploiting Symmetry in Optimization
[OWR-2010-38] (2010) - (22 Aug - 28 Aug 2010)The feasible regions of mathematical optimization models quite often exhibit a high degree of symmetry. In recent years, several groups of researchers have independently worked on algorithmic approaches to exploit such ... -
1215a - Mini-Workshop: Generalizations of Symmetric Spaces
[OWR-2012-18] (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 ... -
2348b - Mini-Workshop: Homological Aspects for TDLC-Groups
[OWR-2023-55] (2023) - (26 Nov - 01 Dec 2023)This mini-workshop aimed at bringing together experts and early career researchers on finiteness conditions for discrete groups, and experts on varying aspects of locally compact groups to find a common framework to develop ... -
1743c - Mini-Workshop: Interactions between Low-dimensional Topology and Complex Algebraic Geometry
[OWR-2017-50] (2017) - (22 Oct - 28 Oct 2017)Recent developments exhibit a strong connection between low-dimensional topology and complex algebraic geometry. A common theme is provided by the Alexander polynomial and its many avatars. The mini-Workshop brought together ... -
1409a - Mini-Workshop: Kähler Groups
[OWR-2014-9] (2014) - (23 Feb - 01 Mar 2014)We reviewed recent advances in the study of fundamental groups of compact Kähler manifolds, involving an interesting mix of complex geometry, harmonic maps and non-Abelian Hodge theory, and geometric group theory. There ... -
2009a - Mini-Workshop: Kronecker, Plethysm, and Sylow Branching Coefficients and their Applications to Complexity Theory
[OWR-2020-9] (2020) - (23 Feb - 29 Feb 2020)The Kronecker, plethysm and Sylow branching coefficients describe the decomposition of representations of symmetric groups obtained by tensor products and induction. Understanding these decompositions has been hailed ... -
1117a - Mini-Workshop: Modular Representations of Symmetric Groups and Related Objects
[OWR-2011-21] (2011) - (24 Apr - 30 Apr 2011)The mini-workshop focussed on the modular representation theory of the symmetric group and other closely related objects, including Hecke algebras and Schur algebras. The topics and problems discussed include computations ... -
1240a - Mini-Workshop: Nichols Algebras and Weyl Groupoids
[OWR-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] (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] (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 ... -
2106c - Mini-Workshop: Nonpositively Curved Complexes (online meeting)
[OWR-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 ... -
1609a - Mini-Workshop: PBW Structures in Representation Theory
[OWR-2016-13] (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 - Mini-Workshop: Rank One Groups and Exceptional Algebraic Groups
[OWR-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 ...