Browsing Oberwolfach Reports by MSC "28"

Now showing items 1-20 of 21

    • 1705 - Applications of Optimal Transportation in the Natural Sciences 

      [OWR-2017-7] Workshop Report 2017,7 (2017) - (29 Jan - 04 Feb 2017)
      The aim of this workshop was to gather a mixed group of experts and young researchers from different areas of applied mathematics in which optimal transport plays a central role. Applications in one of the classical areas ...

    • 2108 - Applications of Optimal Transportation in the Natural Sciences (online meeting) 

      [OWR-2021-10] Workshop Report 2021,10 (2021) - (21 Feb - 27 Feb 2021)
      Concepts and methods from the mathematical theory of optimal transportation have reached significant importance in various fields of the natural sciences. The view on classical problems from a "transport perspective'' ...

    • 1741 - Arbeitsgemeinschaft: Additive Combinatorics, Entropy, and Fractal Geometry 

      [OWR-2017-47] Workshop Report 2017,47 (2017) - (08 Oct - 13 Oct 2017)
      The aim of the workshop was to survey recent developments in fractal geometry, specifically those related to projections and slices of planar self-similar sets, and dimension and absolute continuity of self-similar measures ...

    • 1241 - Arbeitsgemeinschaft: Ergodic Theory and Combinatorial Number Theory 

      [OWR-2012-50] Workshop Report 2012,50 (2012) - (07 Oct - 13 Oct 2012)
      The aim of this Arbeitsgemeinschaft was to introduce young researchers with various backgrounds to the multifaceted and mutually perpetuating connections between ergodic theory, topological dynamics, combinatorics, and ...

    • 0914 - Arbeitsgemeinschaft: Optimal Transport and Geometry 

      [OWR-2009-18] Workshop Report 2009,18 (2009) - (29 Mar - 04 Apr 2009)
      This Arbeitsgemeinschaft was devoted to recent developments in optimal transport with emphasis on links and applications to geometry. The topics reached from the origin of optimal transport as a variational problem, where ...

    • 1841 - Arbeitsgemeinschaft: Rigidity of Stationary Measure 

      [OWR-2018-47] Workshop Report 2018,47 (2018) - (07 Oct - 12 Oct 2018)
      The aim of this Arbeitsgemeinschaft was to understand the classification of stationary measures for semisimple random walks on a finite volume homogeneous space and its applications as described in the two papers [1] and [2].

    • 1414 - Arbeitsgemeinschaft: Superrigidity 

      [OWR-2014-16] Workshop Report 2014,16 (2014) - (30 Mar - 05 Apr 2014)
      The purpose of the Arbeitsgemeinschaft was to review old and new phenomenas of rigidity in mathematics. The broad spectrum of such results was covered, such as Margulis-Zimmer superrigidity, cocyle and character rigidity.

    • 1119 - Billiards, Flat Surfaces, and Dynamics on Moduli Spaces 

      [OWR-2011-25] Workshop Report 2011,25 (2011) - (08 May - 14 May 2011)
      This workshop brought together people working on the dynamics of various flows on moduli spaces, in particular the action of SL$_2(\mathbb R)$ on flat surfaces. The new results presented covered properties of interval ...

    • 2203 - Groups and Dynamics: Topology, Measure, and Borel Structure 

      [OWR-2022-3] Workshop Report 2022,3 (2022) - (16 Jan - 22 Jan 2022)
      While the subjects of topological dynamics, ergodic theory, and descriptive set theory have long interacted in a variety of profitable ways, recent developments have ushered in a vigorous new phase of interplay between ...

    • 2323 - Incidence Problems in Harmonic Analysis, Geometric Measure Theory, and Ergodic Theory 

      [OWR-2023-25] Workshop Report 2023,25 (2023) - (04 Jun - 09 Jun 2023)
      The workshop "Incidence Problems in Harmonic Analysis, Geometric Measure Theory, and Ergodic Theory" covered interactions between geometric problems involving fractals, dimensions, patterns, projections and incidences, and ...

    • 1751 - Mathematical Instruments between Material Artifacts and Ideal Machines: Their Scientific and Social Role before 1950 

      [OWR-2017-58] Workshop Report 2017,58 (2017) - (17 Dec - 23 Dec 2017)
      Since 1950, mathematicians have become increasingly familiar with the digital computer in their professional practice. Previously, however, many other instruments, now mostly forgotten, were commonly used to compute numerical ...

    • 1440c - Mini-Workshop: Differentiable Ergodic Theory, Dimension Theory and Stable Foliations 

      [OWR-2014-46] Workshop Report 2014,46 (2014) - (28 Sep - 04 Oct 2014)
      The mini-workshop Differentiable Ergodic Theory, Dimension Theory and Stable Foliations brought together experts in thermodynamical formalism, hyperbolic dynamics and dimension theory from several countries. The geographic ...

    • 0715b - Mini-Workshop: Geometric Measure Theoretic Approaches to Potentials on Fractals and Manifolds 

      [OWR-2007-19] Workshop Report 2007,19 (2007) - (08 Apr - 14 Apr 2007)
      The workshop brought together researchers and graduate students from different areas of mathematics, such as analysis, probability theory, geometry, and number theory. The topics of joint interest were motivated by recent ...

    • 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 ...

    • 1201c - Mini-Workshop: Thermodynamic Formalism, Geometry and Stochastics 

      [OWR-2012-3] Workshop Report 2012,3 (2012) - (01 Jan - 07 Jan 2012)
      Thermodynamic formalism and all its branches and applications in conformal dynamics, probability theory, stochastics and fractal geometry represent highly important fields in modern Mathematics, which are currently very ...

    • 1337 - Noncommutative Geometry 

      [OWR-2013-45] Workshop Report 2013,45 (2013) - (08 Sep - 14 Sep 2013)
      Noncommutative Geometry applies ideas from geometry to mathematical structures determined by noncommuting variables. This meeting emphasized the connections of Noncommutative Geometry to number theory and ergodic theory.

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

      [OWR-2011-17] Workshop Report 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 ...

    • 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 ...

    • 1731 - Partial Differential Equations 

      [OWR-2017-35] Workshop Report 2017,35 (2017) - (30 Jul - 05 Aug 2017)
      The workshop dealt with nonlinear partial differential equations and some applications in geometry, touching several different topics such as minimal surfaces and geometric measure theory, conformal geometry, geometric ...

    • 1740 - Spectral Structures and Topological Methods in Mathematical Quasicrystals 

      [OWR-2017-46] Workshop Report 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 ...