Browsing by MSC "81"

Now showing items 61-80 of 101

    • 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 ...

    • 2240a - Mini-Workshop: Zero-Range and Point-Like Singular Perturbations: For a Spillover to Analysis, PDE and Differential Geometry 

      [OWR-2022-44] (2022) - (02 Oct - 08 Oct 2022)
      The field of contact interactions and perturbations of differential operators supported on subsets with non-trivial co-dimension is an increasingly active mainstream of mathematical physics (in particular, operator and ...

    • 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 ...

    • 2312 - New Directions in Real Algebraic Geometry 

      [OWR-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 ...

    • 2050a - New Directions in Rough Path Theory (online meeting) 

      [OWR-2020-40] (2020) - (06 Dec - 12 Dec 2020)
      Rough path theory emerged as novel approach for dealing with interactions in complex random systems. It settled significant questions and provided an effective deterministic alternative to Itô calculus, itself a major ...

    • 1437 - New Horizons in Statistical Decision Theory 

      [OWR-2014-41] (2014) - (07 Sep - 13 Sep 2014)
      The classical metric theory of statistical models (experiments) has recently been extended towards an asymptotic equivalence paradigm, allowing to classify and relate problems which are essentially infinite dimensional and ...

    • 0438 - Nichtkommutative Geometrie 

      [OWR-2004-45] (2004) - (12 Sep - 18 Sep 2004)
      These notes contain the extended abstracts of talks given at the meeting on ’noncommutative geometry’ in September 2004. The range of topics includes index theory, algebraic and topological K-theory, cyclic homology, quantum ...

    • 2231 - Non-Commutative Geometry and Cyclic Homology 

      [OWR-2022-35] (2022) - (31 Jul - 06 Aug 2022)
      The meeting displayed the cyclic theory as a fundamental mathematical tool with applications in diverse domains such as analysis, algebraic K-theory, algebraic geometry, arithmetic geometry, solid state physics and quantum ...

    • 2027 - Non-Commutative Geometry and Cyclic Homology (hybrid meeting) 

      [OWR-2020-17] (2020) - (28 Jun - 04 Jul 2020)
      The workshop on "Non-Commutative Geometry and Cyclic Homology" was attended by 16 participants on site. 30 participants could not travel to Oberwolfach because of the pandemia and took advantage of the videoconference tool. ...

    • 1828 - Non-commutative Geometry, Index Theory and Mathematical Physics 

      [OWR-2018-32] (2018) - (08 Jul - 14 Jul 2018)
      Non-commutative geometry today is a new but mature branch of mathematics shedding light on many other areas from number theory to operator algebras. In the 2018 meeting two of these connections were highlighted. For once, ...

    • 0937 - Noncommutative Geometry 

      [OWR-2009-41] (2009) - (06 Sep - 12 Sep 2009)
      Many of the different aspects of Noncommutative Geometry were represented in the talks. The list of topics that were covered includes in particular new insight into the geometry of a noncommutative torus, local index formulae ...

    • 0736 - Noncommutative Geometry 

      [OWR-2007-43] (2007) - (02 Sep - 08 Sep 2007)
      Many of the various aspects of Noncommutative Geometry were represented in the talks. This includes in particular index theory on foliated spaces, a number of results on spectral triples, noncommutative manifolds and ...

    • 1137 - Noncommutative Geometry 

      [OWR-2011-45] (2011) - (11 Sep - 17 Sep 2011)
      Noncommutative Geometry applies ideas from geometry to mathematical structures determined by noncommuting variables. This meeting concentrated primarily on those aspects of Noncommutative Geometry that are related to index ...

    • 1006b - Noncommutative Geometry and Loop Quantum Gravity: Loops, Algebras and Spectral Triples 

      [OWR-2010-9] (2010) - (07 Feb - 13 Feb 2010)
      Spectral triples have recently turned out to be relevant for different approaches that aim at quantizing gravity and the other fundamental forces of nature in a mathematically rigorous way. The purpose of this workshop was ...

    • 0543a - Noncommutative Geometry and Quantum Field Theory 

      [OWR-2005-48] (2005) - (23 Oct - 29 Oct 2005)
      The workshop gathered experts from both mathemematics and physics working on the interrelation of Noncommutative Geometry and Quantum Field Theory, which has become one of the central topics in mathematical physics over ...

    • 1725b - Nonlinear Partial Differential Equations on Graphs 

      [OWR-2017-29] (2017) - (18 Jun - 24 Jun 2017)
      One-dimensional metric graphs in two and three-dimensional spaces play an important role in emerging areas of modern science such as nano-technology, quantum physics, and biological networks. The workshop focused on the ...

    • On a Conjecture of Khoroshkin and Tolstoy 

      [OWP-2022-14] Appel, Andrea; Gautam, Sachin; Wendlandt, Curtis (Mathematisches Forschungsinstitut Oberwolfach, 2022-08-02)
      We prove a no-go theorem on the factorization of the lower triangular part in the Gaussian decomposition of the Yangian's universal $R$-matrix, yielding a negative answer to a conjecture of Khoroshkin and Tolstoy from ...

    • 1113 - Operator Algebras and Representation Theory: Frames, Wavelets and Fractals 

      [OWR-2011-17] (2011) - (27 Mar - 02 Apr 2011)
      The central focus of the workshop was Kadison-Singer conjecture and its connection to operator algebras, harmonic analysis, representation theory and the theory of fractals. The program was intrinsically interdisciplinary ...

    • Positive Line Bundles Over the Irreducible Quantum Flag Manifolds 

      [OWP-2020-01] Díaz García, Fredy; Krutov, Andrey; Ó Buachalla, Réamonn; Somberg, Petr; Strung, Karen R. (Mathematisches Forschungsinstitut Oberwolfach, 2020-02-03)
      Noncommutative Kähler structures were recently introduced by the third author as a framework for studying noncommutative Kähler geometry on quantum homogeneous spaces. It was subsequently observed that the notion of a ...

    • 1116 - Real Enumerative Questions in Complex and Tropical Geometry 

      [OWR-2011-20] (2011) - (17 Apr - 23 Apr 2011)
      The workshop Real Enumerative Questions in Complex and Tropical Geometry was devoted to a wide discussion and exchange of ideas between the best experts representing various points of view on the subject. Enumeration of ...