Browsing by MSC "13"

Now showing items 61-80 of 85

    • Numerical Invariants and Moduli Spaces for Line Arrangements 

      [OWP-2017-02] Dimca, Alexandru; Ibadula, Denis; Măcinic, Daniela Anca (Mathematisches Forschungsinstitut Oberwolfach, 2017-02-01)
      Using several numerical invariants, we study a partition of the space of line arrangements in the complex projective plane, given by the intersection lattice types. We offer also a new characterization of the free plane ...

    • On the Gauss Algebra of Toric Algebras 

      [OWP-2018-07] Herzog, Jürgen; Jafari, Raheleh; Nasrollah Nejad, Abbas (Mathematisches Forschungsinstitut Oberwolfach, 2018-04-25)
      Let $A$ be a $K$-subalgebra of the polynomial ring $S=K[x_1,\ldots,x_d]$ of dimension $d$, generated by finitely many monomials of degree $r$. Then the Gauss algebra $\mathbb{G}(A)$ of $A$ is generated by monomials of ...

    • Positive Margins and Primary Decomposition 

      [OWP-2012-06] Kahle, Thomas; Rauh, Johannes; Sullivant, Seth (Mathematisches Forschungsinstitut Oberwolfach, 2012)
      We study random walks on contingency tables with fixed marginals, corresponding to a (log-linear) hierarchical model. If the set of allowed moves is not a Markov basis, then there exist tables with the same marginals that ...

    • 2010 - Real Algebraic Geometry with a View Toward Hyperbolic Programming and Free Probability 

      [OWR-2020-12] (2020) - (01 Mar - 07 Mar 2020)
      Continuing the tradition initiated in the MFO workshops held in 2014 and 2017, this workshop was dedicated to the newest developments in real algebraic geometry and polynomial optimization, with a particular emphasis on ...

    • 2311 - Real Algebraic Geometry with a View toward Koopman Operator Methods 

      [OWR-2023-14] (2023) - (12 Mar - 17 Mar 2023)
      This workshop was dedicated to the newest developments in real algebraic geometry and their interaction with convex optimization and operator theory. A particular effort was invested in exploring the interrelations with ...

    • 1710 - Real Algebraic Geometry With a View Toward Moment Problems and Optimization 

      [OWR-2017-14] (2017) - (05 Mar - 11 Mar 2017)
      Continuing the tradition initiated in MFO workshop held in 2014, the aim of this workshop was to foster the interaction between real algebraic geometry, operator theory, optimization, and algorithms for systems control. A ...

    • 1415 - Real Algebraic Geometry With A View Toward Systems Control and Free Positivity 

      [OWR-2014-17] (2014) - (06 Apr - 12 Apr 2014)
      New interactions between real algebraic geometry, convex optimization and free non-commutative geometry have recently emerged, and have been the subject of numerous international meetings. The aim of the workshop was to ...

    • 0711 - Reelle Algebraische Geometrie 

      [OWR-2007-14] (2007) - (11 Mar - 17 Mar 2007)
      This workshop was organized by Michel Coste (Rennes), Claus Scheiderer (Konstanz) and Niels Schwartz (Passau). The talks focussed on recent developments in real enumerative and tropical geometry, positivity and sums of ...

    • 0808 - Representation Theory of Finite Dimensional Algebras 

      [OWR-2008-9] (2008) - (17 Feb - 23 Feb 2008)

    • 0506 - Representation Theory of Finite-Dimensional Algebras 

      [OWR-2005-6] (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 ...

    • 1708 - Representation Theory of Quivers and Finite Dimensional Algebras 

      [OWR-2017-12] (2017) - (19 Feb - 25 Feb 2017)
      Methods and results from the representation theory of quivers and finite dimensional algebras have led to many interactions with other areas of mathematics. Such areas include the theory of Lie algebras and quantum groups, ...

    • 1108 - Representation Theory of Quivers and Finite Dimensional Algebras 

      [OWR-2011-10] (2011) - (20 Feb - 26 Feb 2011)
      Methods and results from the representation theory of quivers and finite dimensional algebras have led to many interactions with other areas of mathematics. Such areas include the theory of Lie algebras and quantum groups, ...

    • 1408 - Representation Theory of Quivers and Finite Dimensional Algebras 

      [OWR-2014-8] (2014) - (16 Feb - 22 Feb 2014)
      Methods and results from the representation theory of quivers and finite dimensional algebras have led to many interactions with other areas of mathematics. Such areas include the theory of Lie algebras and quantum groups, ...

    • 2004 - Representation Theory of Quivers and Finite Dimensional Algebras 

      [OWR-2020-3] (2020) - (19 Jan - 25 Jan 2020)
      Methods and results from the representation theory of quivers and finite dimensional algebras have led to many interactions with other areas of mathematics. Such areas include the theory of Lie algebras and quantum ...

    • 2307 - Representation Theory of Quivers and Finite-Dimensional Algebras 

      [OWR-2023-7] (2023) - (12 Feb - 18 Feb 2023)
      This workshop was about the representation theory of quivers and finite-dimensional (associative) algebras, and links to other areas of mathematics, including other areas of representation theory, homological algebra, ...

    • 2306 - Resolutions in Local Algebra and Singularity Theory 

      [OWR-2023-6] (2023) - (05 Feb - 11 Feb 2023)
      Commutative algebra is a vast subject, with connections to many different areas of mathematics, and beyond. The focus of this workshop was on three areas, all concerned with resolutions in various forms. One is the ...

    • 1907 - Singularities and Homological Aspects of Commutative Algebra 

      [OWR-2019-6] (2019) - (10 Feb - 16 Feb 2019)
      Commutative algebra has recently witnessed a number of spectacular developments, resulting in the resolution of long-standing problems. The new techniques and perspectives, such as methods from the theory of perfectoid ...

    • Some Homological Properties of Borel Type Ideals 

      [OWP-2022-03] Herzog, Jürgen; Moradi, Somayeh; Rahimbeigi, Masoomeh; Zhu, Guangjun (Mathematisches Forschungsinstitut Oberwolfach, 2022-02-01)
      We study ideals of Borel type, including $k$-Borel ideals and $t$-spread Veronese ideals. We determine their free resolutions and their homological shift ideals. The multiplicity and the analytic spread of equigenerated ...

    • Supertropical Quadratic Forms I 

      [OWP-2013-27] Knebusch, Manfred; Rowen, Louis; Izhakian, Zur (Mathematisches Forschungsinstitut Oberwolfach, 2013)
      We initiate the theory of a quadratic form q over a semiring $R$. As customary, one can write $q(x+y)=q(x)+q(y)+b(x,y)$, where b is a companion bilinear form. But in contrast to the ring-theoretic case, the companion ...

    • Supertropical semirings and supervaluations 

      [OWP-2010-05] Izhakian, Zur; Knebusch, Manfred; Rowen, Louis (Mathematisches Forschungsinstitut Oberwolfach, 2010)
      We interpret a valuation $\upsilon$ on a ring $R$ as a map $\upsilon:R \rightarrow M$ into a so called bipotent semiring $M$ (the usual max-plus setting), and then define a supervaluation $\varphi$ as a suitable map into ...