Browsing 5 - Oberwolfach Reports (OWR) by MSC "52"

Anzeige der Dokumente 41-60 von 69

    • 2047b - Mini-Workshop: Dimers, Ising and Spanning Trees beyond the Critical Isoradial Case (online meeting) 

      [OWR-2020-35] Workshop Report 2020,35 (2020) - (15 Nov - 21 Nov 2020)
      The goal of this mini-workshop is to gather specialists of the dimer, Ising and spanning tree models around recent and ongoing progress in two directions. One is understanding the connection to the spectral curve of these ...

    • 1449a - Mini-Workshop: Dynamical versus Diffraction Spectra in the Theory of Quasicrystals 

      [OWR-2014-53] Workshop Report 2014,53 (2014) - (30 Nov - 06 Dec 2014)
      The dynamical (or von Neumann) spectrum of a dynamical system and the diffraction spectrum of the corresponding measure dynamical system are intimately related. While their equivalence in the case of pure point spectra is ...

    • 1034c - Mini-Workshop: Exploiting Symmetry in Optimization 

      [OWR-2010-38] Workshop Report 2010,38 (2010) - (22 Aug - 28 Aug 2010)
      The feasible regions of mathematical optimization models quite often exhibit a high degree of symmetry. In recent years, several groups of researchers have independently worked on algorithmic approaches to exploit such ...

    • 1738c - Mini-Workshop: Lattice Polytopes: Methods, Advances, Applications 

      [OWR-2017-44] Workshop Report 2017,44 (2017) - (17 Sep - 23 Sep 2017)
      Lattice polytopes arise naturally in many different branches of pure and applied mathematics such as number theory, commutative algebra, combinatorics, toric geometry, optimization, and mirror symmetry. The miniworkshop ...

    • 1915c - Mini-Workshop: Mathematics of Crystallisation 

      [OWR-2019-18] Workshop Report 2019,18 (2019) - (07 Apr - 13 Apr 2019)
      Crystallisation, by which we mean the formation of solids precipitating from a solution, is the central theme of the present mini-workshop. Participants discussed different approaches towards a rigorous mathematical ...

    • 1609a - Mini-Workshop: PBW Structures in Representation Theory 

      [OWR-2016-13] Workshop Report 2016,13 (2016) - (28 Feb - 05 Mar 2016)
      The PBW structures play a very important role in the Lie theory and in the theory of algebraic groups. The importance is due to the huge number of possible applications. The main goal of the workshop was to bring together ...

    • 1706c - Mini-Workshop: Perspectives in High-dimensional Probability and Convexity 

      [OWR-2017-10] Workshop Report 2017,10 (2017) - (05 Feb - 11 Feb 2017)
      Understanding the geometric structure of systems involving a huge amount of parameters is a central problem in mathematics and applied sciences today. Here, geometric and analytical ideas meet in a non-trivial way and ...

    • 0733b - Mini-Workshop: Projective Normality of Smooth Toric Varieties 

      [OWR-2007-39] Workshop Report 2007,39 (2007) - (12 Aug - 18 Aug 2007)
      The mini-workshop on ”Projective Normality of Smooth Toric Varieties” focused on the question of whether every projective embedding of a smooth toric variety is projectively normal. Equivalently, this question asks whether ...

    • 0910b - Mini-Workshop: The Pisot Conjecture - From Substitution Dynamical Systems to Rauzy Fractals and Meyer Sets 

      [OWR-2009-13] Workshop Report 2009,13 (2009) - (01 Mar - 07 Mar 2009)
      This mini-workshop brought together researchers with diverse backgrounds and a common interest in facets of the Pisot conjecture, which relates certain properties of a substitution to dynamical properties of the associated ...

    • 0733c - Mini-Workshop: Topology of closed one-forms and Cohomology Jumping Loci 

      [OWR-2007-40] Workshop Report 2007,40 (2007) - (12 Aug - 18 Aug 2007)
      The purpose of this workshop was to bring together researchers from the two different fields mentioned in the title, and to create more interaction and connections between these fields. Among the topics which appear in ...

    • 1003b - Mini-Workshop: Valuations and Integral Geometry 

      [OWR-2010-4] Workshop Report 2010,4 (2010) - (17 Jan - 23 Jan 2010)
      As a generalization of the notion of measure, valuations have long played a central role in the integral geometry of convex sets. In recent years there has been a series of striking developments. Several examples were ...

    • 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 ...

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

      [OWR-2020-6] Workshop Report 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 ...

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

      [OWR-2012-40] Workshop Report 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] Workshop Report 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 ...

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

      [OWR-2006-49] Workshop Report 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] 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 ...