Now showing items 21-40 of 74

• #### 1421 - Interactions between Algebraic Geometry and Noncommutative Algebra ﻿

[OWR-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.
• #### 1336 - Matrix Factorizations in Algebra, Geometry, and Physics ﻿

[OWR-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 ...
• #### Maximal Quaternion Orders in Quadratic Extensions - in Hurwitz’s Diaries ﻿

[OWP-2020-16] (Mathematisches Forschungsinstitut Oberwolfach, 2020-08-03)
We present and comment on some unpublished work of Adolf Hurwitz on quaternion arithmetic from his diaries.
• #### 1946a - Mini-Workshop: Algebraic Tools for Solving the Yangâ€“Baxter Equation ﻿

[OWR-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] (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] (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 ...
• #### 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 ...
• #### 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 ...
• #### 0946b - Mini-Workshop: Formal Methods in Commutative Algebra: A View Toward Constructive Homological Algebra ﻿

[OWR-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] (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] (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] (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 ...
• #### 0908b - Mini-Workshop: Product Systems and Independence in Quantum Dynamics ﻿

[OWR-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] (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] (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] (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] (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 ...