Browsing Oberwolfach Reports by MSC "16"

Now showing items 1-20 of 54

    • 2403 - Cluster Algebras and Its Applications 

      [OWR-2024-2] Workshop Report 2024,2 (2024) - (14 Jan - 19 Jan 2024)
      This workshop focused on recent developments in cluster algebras and their applications as well as interactions with other areas of mathematics. In addition to new advances in the theory of cluster algebras themselves, it ...

    • 2411a - Combinatorial *-algebras 

      [OWR-2024-12] Workshop Report 2024,12 (2024) - (10 Mar - 15 Mar 2024)
      This workshop aimed to strengthen ties and foster collaborations between different communities working on combinatorial $*$-algebras, including $C^*$-and pure algebraists.

    • 1012 - Combinatorial Representation Theory 

      [OWR-2010-15] Workshop Report 2010,15 (2010) - (21 Mar - 27 Mar 2010)
      The workshop brought together researchers from different fields in representation theory and algebraic combinatorics for a fruitful interaction. New results, methods and developments ranging from classical and modular ...

    • 1631 - Computational Group Theory 

      [OWR-2016-37] Workshop Report 2016,37 (2016) - (31 Jul - 06 Aug 2016)
      This was the seventh workshop on Computational Group Theory. It showed that Computational Group Theory has significantly expanded its range of activities. For example, symbolic computations with groups and their representations ...

    • 1131 - Computational Group Theory 

      [OWR-2011-37] Workshop Report 2011,37 (2011) - (31 Jul - 06 Aug 2011)
      This sixth workshop on Computational Group Theory proved that its main themes “finitely presented groups”, “$p$-groups”, “matrix groups” and “representations of groups” are lively and active fields of research. The talks ...

    • 0605 - Convex and Algebraic Geometry 

      [OWR-2006-5] Workshop Report 2006,5 (2006) - (29 Jan - 04 Feb 2006)
      The subjects of convex and algebraic geometry meet primarily in the theory of toric varieties. Toric geometry is the part of algebraic geometry where all maps are given by monomials in suitable coordinates, and all equations ...

    • 1039 - Deformation Methods in Mathematics and Physics 

      [OWR-2010-43] Workshop Report 2010,43 (2010) - (26 Sep - 01 Oct 2010)
      Deformations of mathematical structures play an important role in most parts of mathematics but also in theoretical physics. In this interdisciplinary workshop, different aspects of deformations and their applications were ...

    • 0603 - Deformations and Contractions in Mathematics and Physics 

      [OWR-2006-3] Workshop Report 2006,3 (2006) - (15 Jan - 21 Jan 2006)
      Deformations of mathematical structures are not only important in most parts of mathematics but also to a large extend in physics. Contractions are in some respect dual to deformations. The workshop brought together world ...

    • 1607b - Hochschild Cohomology in Algebra, Geometry, and Topology 

      [OWR-2016-10] Workshop Report 2016,10 (2016) - (14 Feb - 20 Feb 2016)
      In 1945 Gerhard Hochschild published "On the cohomology groups of an associative algebra" in the Annals of Mathematics and thereby created what is now called Hochschild theory. In 1963, Murray Gerstenhaber proved that the ...

    • 0619 - Interactions between Algebraic Geometry and Noncommutative Algebra 

      [OWR-2006-23] Workshop Report 2006,23 (2006) - (07 May - 13 May 2006)
      The workshop discussed the interactions between algebraic geometry and various areas of noncommutative algbebra including finite dimensional algebras, representation theory of algebras and noncommutative algebraic geometry. ...

    • 1019 - Interactions between Algebraic Geometry and Noncommutative Algebra 

      [OWR-2010-22] Workshop Report 2010,22 (2010) - (09 May - 15 May 2010)
      The aim of this workshop was to communicate the most current developments in the field of noncommutative algebra and its interactions with algebraic geometry and representation theory.

    • 1421 - Interactions between Algebraic Geometry and Noncommutative Algebra 

      [OWR-2014-25] Workshop Report 2014,25 (2014) - (18 May - 24 May 2014)
      The workshop presented the current developments in the field of noncommutative algebra geometry and its interactions with algebraic geometry and representation theory.

    • 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 ...

    • 1336 - Matrix Factorizations in Algebra, Geometry, and Physics 

      [OWR-2013-44] Workshop Report 2013,44 (2013) - (01 Sep - 07 Sep 2013)
      Let $W$ be a polynomial or power series in several variables, or, more generally, a nonzero element in some regular commutative ring. A matrix factorization of $W$ consists of a pair of square matrices $X$ and $Y$ of the ...

    • 1946a - Mini-Workshop: Algebraic Tools for Solving the Yang–Baxter Equation 

      [OWR-2019-51] Workshop Report 2019,51 (2019) - (10 Nov - 16 Nov 2019)
      The workshop was focused on three facets of the interplay between set-theoretic solutions to the Yang--Baxter equation and classical algebraic structures (groups, monoids, algebras, lattices, racks etc.): structures used ...

    • 0508c - Mini-Workshop: Analytical and Numerical Methods in Image and Surface Processing 

      [OWR-2005-10] Workshop Report 2005,10 (2005) - (20 Feb - 26 Feb 2005)
      The workshop successfully brought together researchers from mathematical analysis, numerical mathematics, computer graphics and image processing. The focus was on variational methods in image and surface processing such ...

    • 0748c - Mini-Workshop: Arithmetik von Gruppenringen 

      [OWR-2007-55] Workshop Report 2007,55 (2007) - (25 Nov - 01 Dec 2007)
      The theory of group rings has many connections to other mathematical areas, such as number theory, K-theory, topology, representation theory, homological algebra and of course the theory of finite and infinite groups, and ...

    • 2405b - Mini-Workshop: Bridging Number Theory and Nichols Algebras via Deformations 

      [OWR-2024-5] Workshop Report 2024,5 (2024) - (28 Jan - 02 Feb 2024)
      Nichols algebras are graded Hopf algebra objects in braided tensor categories. They appeared first in a paper by Nichols in 1978 in the search for new examples of Hopf algebras. Rediscovered later several times, they ...

    • 1810a - Mini-Workshop: Chromatic Phenomena and Duality in Homotopy Theory and Representation Theory 

      [OWR-2018-9] Workshop Report 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] Workshop Report 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 ...