Browsing by MSC "52"

Now showing items 61-79 of 79

    • 2006b - New Perspectives and Computational Challenges in High Dimensions 

      [OWR-2020-6] (2020) - (02 Feb - 08 Feb 2020)
      High-dimensional systems are frequent in mathematics and applied sciences, and the understanding of high-dimensional phenomena has become increasingly important. The mathematical subdisciplines most strongly related to ...

    • 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 ...

    • On the Invariants of the Cohomology of Complements of Coxeter Arrangements 

      [OWP-2018-21] Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Mathematisches Forschungsinstitut Oberwolfach, 2018-10-22)
      We refine Brieskorn's study of the cohomology of the complement of the reflection arrangement of a finite Coxeter group W. As a result we complete the verification of a conjecture by Felder and Veselov that gives an explicit ...

    • 1234a - Optimal and Near Optimal Configurations on Lattices and Manifolds 

      [OWR-2012-40] (2012) - (19 Aug - 25 Aug 2012)
      Optimal configurations of points arise in many contexts, for example classical ground states for interacting particle systems, Euclidean packings of convex bodies, as well as minimal discrete and continuous energy problems ...

    • 1006a - Optimal Constants in the Theory of Sobolev Spaces and PDEs 

      [OWR-2010-8] (2010) - (07 Feb - 13 Feb 2010)
      Recent research activities on sharp constants and optimal inequalities have shown their impact on a deeper understanding of geometric, analytical and other phenomena in the context of partial differential equations and ...

    • 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 ...

    • 0645 - Qualitative Assumptions and Regularization in High-Dimensional Statistics 

      [OWR-2006-49] (2006) - (05 Nov - 11 Nov 2006)
      Important and exciting developments are currently underway in nonparametric statistics involving inter-play between qualitative constraints, penalization, and regularization methods. Some of these developments are taking ...

    • 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 ...

    • 1740 - Spectral Structures and Topological Methods in Mathematical Quasicrystals 

      [OWR-2017-46] (2017) - (01 Oct - 07 Oct 2017)
      The mathematical theory of aperiodic order grew out of various predecessors in discrete geometry, harmonic analysis and mathematical physics, and developed rapidly after the discovery of real world quasicrystals in 1982 ...

    • 1106 - Topological and Geometric Combinatorics 

      [OWR-2011-8] (2011) - (06 Feb - 12 Feb 2011)
      The 2011 Oberwolfach meeting “Topological and Geometric Combinatorics” was organized by Anders Björner (Stockholm), Gil Kalai (Jerusalem), Isabella Novik (Seattle), and Günter M. Ziegler (Berlin). It covered a wide variety ...

    • 1803 - Topology of Arrangements and Representation Stability 

      [OWR-2018-2] (2018) - (14 Jan - 20 Jan 2018)
      The workshop “Topology of arrangements and representation stability” brought together two directions of research: the topology and geometry of hyperplane, toric and elliptic arrangements, and the homological and representation ...

    • 1216 - Toric Geometry 

      [OWR-2012-21] (2012) - (15 Apr - 21 Apr 2012)
      Toric Geometry plays a major role where a wide variety of mathematical fields intersect, such as algebraic and symplectic geometry, algebraic groups, and combinatorics. The main feature of this workshop was to bring people ...

    • 0902 - Toric Geometry 

      [OWR-2009-1] (2009) - (04 Jan - 10 Jan 2009)
      Toric Geometry originated from investigations of torus actions on geometric and algebraic objects. It is addressed through algebraic geometry, symplectic geometry, equivariant topology, as well as the theory of convex ...

    • 2213 - Toric Geometry 

      [OWR-2022-17] (2022) - (27 Mar - 02 Apr 2022)
      Toric geometry is a vibrant subfield of algebraic geometry that draws on strong connections to combinatorics. The 2022 workshop brought together a broad group of mathematicians both in-person and virtually to ...

    • 1218 - Triangulations 

      [OWR-2012-24] (2012) - (29 Apr - 05 May 2012)
      The earliest work in topology was often based on explicit combinatorial models – usually triangulations – for the spaces being studied. Although algebraic methods in topology gradually replaced combinatorial ones in the ...

    • 0750 - Tropical Geometry 

      [OWR-2007-57] (2007) - (09 Dec - 15 Dec 2007)
      Tropical Geometry is a new and rapidly developing discipline that touches upon many branches of modern mathematics. It is characterized by the transition of algebro-geometric objects to piecewise-linear ones, thereby ...