Browsing Oberwolfach Reports by MSC "13"

Now showing items 41-60 of 64

    • 2009b - Mini-Workshop: Superpotentials in Algebra and Geometry 

      [OWR-2020-10] Workshop Report 2020,10 (2020) - (23 Feb - 29 Feb 2020)
      Mirror symmetry has been at the epicenter of many mathematical discoveries in the past twenty years. It was discovered by physicists in the setting of super conformal field theories (SCFTs) associated to closed string ...

    • 0908c - Mini-Workshop: Support Varieties 

      [OWR-2009-10] Workshop Report 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 ...

    • 0748b - Mini-Workshop: Surface Modeling and Syzygies 

      [OWR-2007-54] Workshop Report 2007,54 (2007) - (25 Nov - 01 Dec 2007)
      The problem of determining the implicit equation of the image of a rational map φ : P2 99K P3 is of theoretical interest in algebraic geometry, and of practical importance in geometric modeling. There are essentially three ...

    • 1651c - Mini-Workshop: Surreal Numbers, Surreal Analysis, Hahn Fields and Derivations 

      [OWR-2016-60] Workshop Report 2016,60 (2016) - (18 Dec - 23 Dec 2016)
      New striking analogies between H. Hahn’s fields of generalised series with real coefficients, G. H. Hardy’s field of germs of real valued functions, and J. H. Conway’s field No of surreal numbers, have been lately discovered ...

    • 1517a - Multivariate Splines and Algebraic Geometry 

      [OWR-2015-21] Workshop Report 2015,21 (2015) - (19 Apr - 25 Apr 2015)
      Multivariate splines are effective tools in numerical analysis and approximation theory. Despite an extensive literature on the subject, there remain open questions in finding their dimension, constructing local bases, and ...

    • 2312 - New Directions in Real Algebraic Geometry 

      [OWR-2023-15] Workshop Report 2023,15 (2023) - (19 Mar - 24 Mar 2023)
      This workshop explored the forefront of connections of real algebraic geometry with convex analysis, combinatorics, and computational complexity. Important aspects have been promising interactions with the fields of quantum ...

    • 2205 - Non-Archimedean Geometry and Applications 

      [OWR-2022-5] Workshop Report 2022,5 (2022) - (30 Jan - 05 Feb 2022)
      The workshop focused on recent developments in non-Archime-dean analytic geometry with various applications to other fields. The topics of the talks included foundational results on analytic spaces as well as applications ...

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

      [OWR-2020-12] Workshop Report 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] Workshop Report 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] Workshop Report 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] Workshop Report 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] Workshop Report 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] Workshop Report 2008,9 (2008) - (17 Feb - 23 Feb 2008)

    • 0506 - Representation Theory of Finite-Dimensional Algebras 

      [OWR-2005-6] Workshop Report 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] Workshop Report 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] Workshop Report 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] Workshop Report 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] Workshop Report 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] Workshop Report 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] Workshop Report 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 ...