• 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 ...
    • 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, ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • Monoid valuations and value ordered supervaluations 

      [OWP-2011-17] Izhakian, Zur; Knebusch, Manfred; Rowen, Louis (Mathematisches Forschungsinstitut Oberwolfach, 2011)
      We complement two papers on supertropical valuation theory ([IKR1], [IKR2]) by providing natural examples of m-valuations (= monoid valuations), after that of supervaluations and transmissions between them. The supervaluations ...
    • 1331 - Multiscale and High-Dimensional Problems 

      [OWR-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 ...
    • New representations of matroids and generalizations 

      [OWP-2011-18] Izhakian, Zur; Rhodes, John L. (Mathematisches Forschungsinstitut Oberwolfach, 2011)
      We extend the notion of matroid representations by matrices over fields by considering new representations of matroids by matrices over finite semirings, more precisely over the boolean and the superboolean semirings. This ...
    • 1337 - Noncommutative Geometry 

      [OWR-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.
    • On Selfinjective Artin Algebras Having Generalized Standard Quasitubes 

      [OWP-2010-18] Karpicz, Maciej; Skowroński, Andrzej; Yamagata, Kunio (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-18)
      We give a complete description of the Morita equivalence classes of all connected selfinjective artin algebras for which the Auslander-Reiten quiver admits a family of quasitubes having common composition factors, closed ...
    • On the Derived Category of Grassmannians in Arbitrary Characteristic 

      [OWP-2013-24] Buchweitz, Ragnar-Olaf; Leuschke, Graham J.; Van den Bergh, Michel (Mathematisches Forschungsinstitut Oberwolfach, 2013-12-09)
      In this paper we consider Grassmannians in arbitrary characteristic. Generalizing Kapranov's well-known characteristic-zero results we construct dual exceptional collections on them (which are however not strong) as well ...