• Noncompact harmonic manifolds 

      [OWP-2013-08] Knieper, Gerhard; Peyerimhoff, Norbert (Mathematisches Forschungsinstitut Oberwolfach, 2013-04-10)
      The Lichnerowicz conjecture asserts that all harmonic manifolds are either flat or locally symmetric spaces of rank 1. This conjecture has been proved by Z.I. Szab ́o [Sz] for harmonic manifolds with compact universal ...
    • 1724 - Nonlinear Waves and Dispersive Equations 

      [OWR-2017-27] (2017) - (11 Jun - 17 Jun 2017)
      Nonlinear dispersive equations are models for nonlinear waves in a wide range of physical contexts. Mathematically they display an interplay between linear dispersion and nonlinear interactions, which can result in a wide ...
    • 1333 - Nonlinear Waves and Dispersive Equations 

      [OWR-2013-41] (2013) - (11 Aug - 17 Aug 2013)
      Nonlinear dispersive equations are models for nonlinear waves in a wide range of physical contexts. Mathematically they display an interplay between linear dispersion and nonlinear interactions, which can result in a wide ...
    • 2226 - Nonlinear Waves and Dispersive Equations 

      [OWR-2022-30] (2022) - (26 Jun - 02 Jul 2022)
      Nonlinear dispersive equations are models for nonlinear waves in a wide range of physical contexts. Mathematically they display an interplay between linear dispersion and nonlinear interactions, which can result in a ...
    • 0708a - Normal Families and Complex Dynamics 

      [OWR-2007-9] (2007) - (18 Feb - 24 Feb 2007)
      The schedule comprised more than 25 ordinary and problem session talks from a broad range of areas in function theory, including but not limited to: Nevanlinna theory, iteration of rational functions, dynamics of transcendental ...
    • On periodic solutions and global dynamics in a periodic differential delay equation 

      [OWP-2014-08] Ivanov, Anatoli F.; Trofimchuk, Sergei I. (Mathematisches Forschungsinstitut Oberwolfach, 2014-05-13)
      Several aspects of global dynamics and the existence of periodic solutions are studied for the scalar differential delay equation $x'(t) = a(t)f(x([t-K]))$, where $f(x)$ is a continuous negative feedback function, $x \cdot ...
    • 1022 - Phase Transitions 

      [OWR-2010-24] (2010) - (30 May - 05 Jun 2010)
      Phase transitions are common phenomena which occur in many fields of material sciences. Models of phase transitions in diverse physical systems often lead to ill-posed mathematical problems whose solutions are characterized ...
    • 0718b - Progress in Surface Theory 

      [OWR-2007-24] (2007) - (29 Apr - 05 May 2007)
      The theory of surfaces has undergone substantial changes in recent years, with many different active areas at this point in time. It has become mainstream to study minimal surfaces and constant mean curvature surfaces in ...
    • 1018 - Progress in Surface Theory 

      [OWR-2010-21] (2010) - (02 May - 08 May 2010)
      The theory of surfaces is interpreted these days as a prototype of submanifold geometry and is characterized by the substantial application of PDE methods and methods from the theory of integrable systems, in addition to ...
    • 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 ...
    • 1217b - Singularity Theory and Integrable Systems 

      [OWR-2012-23] (2012) - (22 Apr - 28 Apr 2012)
      The workshop brought together three very different areas of mathematics, namely singularity theory, integrable systems and quantum cohomology. They are linked by their applications in topological quantum field theory and ...
    • Spectral Continuity for Aperiodic Quantum Systems II. Periodic Approximations in 1D 

      [OWP-2018-27] Beckus, Siegfried; Bellissard, Jean; De Nittis, Giuseppe (Mathematisches Forschungsinstitut Oberwolfach, 2018-12-17)
      The existence and construction of periodic approximations with convergent spectra is crucial in solid state physics for the spectral study of corresponding Schrödinger operators. In a forthcoming work [9] this task was ...
    • 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 ...
    • 0433 - String-Theorie und Geometrie 

      [OWR-2004-38] (2004) - (08 Aug - 14 Aug 2004)
      The conference brought together mathematicians working in algebraic and differential geometry (14J32, 37J35, 53C15, 53C80) and physicists working on conformal quantum field theory and string theory (81T30, 81T40). In ...
    • 1135 - The Analytic Theory of Automorphic Forms 

      [OWR-2011-43] (2011) - (28 Aug - 03 Sep 2011)
      The workshop brought together leading experts in the theory of automorphic forms. Recently developed analytic, geometric and ergodic methods have enabled several important results in the theory for $GL(2)$, and also made ...
    • 2211a - The Laguerre-Pólya Class and Combinatorics 

      [OWR-2022-13] (2022) - (13 Mar - 19 Mar 2022)
      The talks at the workshop were focused on zero localization and zero finding of entire functions, with applications to analytic number theory and combinatorics. The discussions included specific areas such as stable and ...
    • 2037a - Topological and Smooth Dynamics on Surfaces (individual research only) 

      [OWR-2020-27] (2020) - (06 Sep - 12 Sep 2020)
      Because of the pandemia, the workshop on "Topological and Smooth Dynamics on Surfaces" could not be realized in the usual format or in the new hybrid format. Instead, a subgroup of 3 participants used the week mostly ...
    • 1607a - Topological Recursion and TQFTs 

      [OWR-2016-9] (2016) - (14 Feb - 20 Feb 2016)
      The topological recursion is an ubiquitous structure in enumerative geometry of surfaces and topological quantum field theories. Since its invention in the context of matrix models, it has been found or conjectured to ...
    • 2329 - Transport and Scale Interactions in Geophysical Flows 

      [OWR-2023-31] (2023) - (16 Jul - 21 Jul 2023)
      This interdisciplinary workshop brought together researchers working on different aspects of transport and scale interactions across the spectrum of geophysical fluid dynamics: geometry and computation of transport and ...
    • 0843b - Trends and Developments in Complex Dynamics 

      [OWR-2008-48] (2008) - (19 Oct - 25 Oct 2008)