Browsing Oberwolfach Reports by MSC "53"

Now showing items 1-20 of 138

    • 1219 - Analysis and Geometric Singularities 

      [OWR-2012-25] Workshop Report 2012,25 (2012) - (06 May - 12 May 2012)
      This is a report on the Oberwolfach conference “Analysis and Geometric Singularities”, May 6-12, 2012. The main themes discussed in the meeting include the interplay between the analytic, geometric and topological study ...

    • 0734 - Analysis and Geometric Singularities 

      [OWR-2007-41] Workshop Report 2007,41 (2007) - (19 Aug - 25 Aug 2007)
      This workshop focused on several main areas of current research concerning analysis on singular and noncompact spaces. Topics included classical areas like spectral asymptotics, propagation of singularities and scattering ...

    • 0534a - Analysis and Geometric Singularities 

      [OWR-2005-39] Workshop Report 2005,39 (2005) - (21 Aug - 27 Aug 2005)
      This workshop focused on several of the main areas of current research concerning analysis on singular and noncompact spaces. Topics included harmonic analysis and Hodge theory on, and the theory of compactifications of, ...

    • 0611 - Analysis and Topology in Interaction 

      [OWR-2006-13] Workshop Report 2006,13 (2006) - (12 Mar - 18 Mar 2006)
      This workshop brought together, on the one side, mathematicians working in areas of global analysis and index theory, which are related with problems in algebraic topology, and on the other side, specialists in fields like ...

    • 1732 - Analysis, Geometry and Topology of Positive Scalar Curvature Metrics 

      [OWR-2017-36] Workshop Report 2017,36 (2017) - (06 Aug - 12 Aug 2017)
      Riemannian manifolds with positive scalar curvature play an important role in mathematics and general relativity. Obstruction and existence results are connected to index theory, bordism theory and homotopy theory, using ...

    • 1432 - Analysis, Geometry and Topology of Positive Scalar Curvature Metrics 

      [OWR-2014-36] Workshop Report 2014,36 (2014) - (03 Aug - 09 Aug 2014)
      One of the fundamental problems in Riemannian geometry is to understand the relation of locally defined curvature invariants and global properties of smooth manifolds. This workshop was centered around the investigation ...

    • 2408 - Analysis, Geometry and Topology of Positive Scalar Curvature Metrics 

      [OWR-2024-9] Workshop Report 2024,9 (2024) - (18 Feb - 23 Feb 2024)
      Riemannian metrics with positive scalar curvature play an important role in differential geometry and general relativity. To investigate these metrics, it is necessary to employ concepts and techniques from global analysis, ...

    • 2126a - Analysis, Geometry and Topology of Positive Scalar Curvature Metrics (hybrid meeting) 

      [OWR-2021-30] Workshop Report 2021,30 (2021) - (27 Jun - 03 Jul 2021)
      The investigation of Riemannian metrics with lower scalar curvature bounds has been a central topic in differential geometry for decades. It addresses foundational problems, combining ideas and methods from global analysis, ...

    • 2341 - Arbeitsgemeinschaft: Cluster Algebras 

      [OWR-2023-45] Workshop Report 2023,45 (2023) - (08 Oct - 13 Oct 2023)
      Cluster algebras, invented by Sergey Fomin and Andrei Zelevinsky around the year 2000, are commutative algebras endowed with a rich combinatorial structure. Fomin-Zelevinsky's original motivations came from Lie theory ...

    • 0941 - Arbeitsgemeinschaft: Minimal Surfaces 

      [OWR-2009-45] Workshop Report 2009,45 (2009) - (04 Oct - 09 Oct 2009)
      The theory of Minimal Surfaces has developed rapidly in the past 10 years. There are many factors that have contributed to this development: Sophisticated construction methods [14,29,31] have been developed and have ...

    • 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 ...

    • 1114 - Arbeitsgemeinschaft: Rational Homotopy Theory in Mathematics and Physics 

      [OWR-2011-18] Workshop Report 2011,18 (2011) - (03 Apr - 08 Apr 2011)
      This Arbeitsgemeinschaft focused on the interplay among rational homotopy theory, differential geometry and the physics of string topology. The talks centered on one hand on how geometry and string topology make use of ...

    • 0841 - Arbeitsgemeinschaft: Ricci Flow and the Poincare Conjecture 

      [OWR-2008-46] Workshop Report 2008,46 (2008) - (05 Oct - 11 Oct 2008)
      It was the aim of this workshop to introduce the participants to the basic concepts and techniques of Hamilton’s Ricciflow programme and cover the main ideas of the proof of the Poincar´e conjecture. This was accomplished ...

    • 2314 - Arbeitsgemeinschaft: Twistor D-Modules and the Decomposition Theorem 

      [OWR-2023-17] Workshop Report 2023,17 (2023) - (02 Apr - 07 Apr 2023)
      The purpose of this Arbeitsgemeinschaft is to introduce the notion of twistor $\mathcal{D}$-modules and their main properties. The guiding principle leading this discussion is Simpson's "meta-theorem", which gives a heuristic ...

    • 0804 - Buildings: Interactions with Algebra and Geometry 

      [OWR-2008-3] Workshop Report 2008,3 (2008) - (20 Jan - 26 Jan 2008)
      The focus of the conference was on buildings and their applications. Buildings are combinatorial structures (metric cell complexes) which may be viewed as simultaneous generalizations of trees and projective spaces. There ...

    • 1831 - Calculus of Variations 

      [OWR-2018-35] Workshop Report 2018,35 (2018) - (29 Jul - 04 Aug 2018)
      The Calculus of Variations is at once a classical subject, and a very modern one. Its scope encompasses a broad range of topics in geometric analysis, and deep questions about PDE. New frontiers are constantly emerging, ...

    • 1029 - Calculus of Variations 

      [OWR-2010-31] Workshop Report 2010,31 (2010) - (18 Jul - 24 Jul 2010)
      Since its invention by Newton, the calculus of variations has formed one of the central techniques for studying problems in geometry, physics, and partial differential equations. This trend continues even today. On the one ...

    • 1628 - Calculus of Variations 

      [OWR-2016-34] Workshop Report 2016,34 (2016) - (10 Jul - 16 Jul 2016)
      The Calculus of Variations is subject with a long and distinguished history, a great deal of diverse current activity, and close connections to other fields such as geometry and mathematical physics. The July 2016 workshop ...

    • 1230 - Calculus of Variations 

      [OWR-2012-36] Workshop Report 2012,36 (2012) - (22 Jul - 28 Jul 2012)
      Since its invention, the calculus of variations has been a central field of mathematics and physics, providing tools and techniques to study problems in geometry, physics and partial differential equations. On the one hand, ...

    • 2233 - Calculus of Variations 

      [OWR-2022-37] Workshop Report 2022,37 (2022) - (14 Aug - 20 Aug 2022)
      The Calculus of Variations is at the same time a classical subject, with long-standing open questions which have generated exciting discoveries in recent decades, and a modern subject in which new types of questions ...