Oberwolfach Reports: Recent submissions

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    • 1950 - Random Matrices 

      [OWR-2019-56] Workshop Report 2019,56 (2019) - (08 Dec - 14 Dec 2019)
      Large complex systems tend to develop universal patterns that often represent their essential characteristics. For example, the cumulative effects of independent or weakly dependent random variables often yield the Gaussian ...

    • 1947 - Heat Kernels, Stochastic Processes and Functional Inequalities 

      [OWR-2019-54] Workshop Report 2019,54 (2019) - (17 Nov - 23 Nov 2019)
      The aims of the 2019 workshop 'Heat Kernels, Stochastic Processes and Functional Inequalities' were: (a) to provide a forum to review recent progresses in a wide array of areas of analysis (elliptic, subelliptic and ...

    • 1946c - Mini-Workshop: Seshadri Constants 

      [OWR-2019-53] Workshop Report 2019,53 (2019) - (10 Nov - 16 Nov 2019)
      Seshadri constants were defined by Demailly around 30 years ago using the ampleness criterion of Seshadri. Demailly was interested in studying problems related to separation of jets of line bundles on projective varieties, ...

    • 1946b - Mini-Workshop: Rank One Groups and Exceptional Algebraic Groups 

      [OWR-2019-52] Workshop Report 2019,52 (2019) - (10 Nov - 16 Nov 2019)
      Rank one groups are a class of doubly transitive groups that are natural generalizations of the groups $ \operatorname{SL}_2(k) $. The most interesting examples arise from exceptional algebraic groups of relative rank ...

    • 1945 - Analytic Number Theory 

      [OWR-2019-50] Workshop Report 2019,50 (2019) - (03 Nov - 09 Nov 2019)
      Analytic number theory is a subject which is central to modern mathematics. There are many important unsolved problems which have stimulated a large amount of activity by many talented researchers. At least two of the ...

    • 1944 - Subfactors and Applications 

      [OWR-2019-49] Workshop Report 2019,49 (2019) - (27 Oct - 02 Nov 2019)
      The theory of subfactors connects diverse topics in mathematics and mathematical physics such as tensor categories, vertex operator algebras, quantum groups, quantum topology, free probability, quantum field theory, ...

    • 1942 - Arbeitsgemeinschaft: Zimmer's Conjecture 

      [OWR-2019-48] Workshop Report 2019,48 (2019) - (13 Oct - 18 Oct 2019)
      The aim of this Arbeitsgemeinschaft was to understand the recent progress on Zimmer's conjecture in [1,2]. The week focuses on the cocompact case from [1].

    • 1941c - Mini-Workshop: Self-adjoint Extensions in New Settings 

      [OWR-2019-47] Workshop Report 2019,47 (2019) - (06 Oct - 12 Oct 2019)
      The main focus of the workshop is on the analysis of boundary value problems for differential and difference operators in some non-classical geometric settings, such as fractal graphs, sub-Riemannian manifolds or non-elliptic ...

    • 1941b - Mini-Workshop: Degeneration Techniques in Representation Theory 

      [OWR-2019-46] Workshop Report 2019,46 (2019) - (06 Oct - 12 Oct 2019)
      Modern Representation Theory has numerous applications in many mathematical areas such as algebraic geometry, combinatorics, convex geometry, mathematical physics, probability. Many of the object and problems of interest ...

    • 1941a - Mini-Workshop: Operator Algebraic Quantum Groups 

      [OWR-2019-45] Workshop Report 2019,45 (2019) - (06 Oct - 12 Oct 2019)
      This mini-workshop brought together a rich and varied cross-section of young and active researchers working on operator algebraic aspects of quantum group theory. The primary goals of this meeting were to highlight the ...

    • 1940 - New Developments in Representation Theory of p-adic Groups 

      [OWR-2019-44] Workshop Report 2019,44 (2019)
      The representation theory of $p$-adic groups has played an important role in the Langlands program. It has seen significant progress in the past two decades, including various instances of the local Langlands correspondences, ...

    • 2041c - Mini-Workshop: Almost Complex Geometry (online meeting) 

      [OWR-2020-33] Workshop Report 2020,33 (2020) - (04 Oct - 10 Oct 2020)
      The mini-workshop focused on very recent developments of analytic and algebraic techniques for studying almost complex structures which are not necessarily integrable. It provided a forum to discuss and compare techniques ...

    • 2040a - Lefschetz Properties in Algebra, Geometry and Combinatorics (hybrid meeting) 

      [OWR-2020-31] Workshop Report 2020,31 (2020) - (27 Sep - 03 Oct 2020)
      The themes of the workshop are the Weak Lefschetz Property - WLP - and the Strong Lefschetz Property - SLP. The name of these properties, referring to Artinian algebras, is motivated by the Lefschetz theory for projective ...

    • 2038 - Variational Methods for Evolution (hybrid meeting) 

      [OWR-2020-29] Workshop Report 2020,29 (2020) - (13 Sep - 19 Sep 2020)
      Variational principles for evolutionary systems take advantage of the rich toolbox provided by the theory of the calculus of variations. Such principles are available for Hamiltonian systems in classical mechanics, gradient ...

    • 2037a - Topological and Smooth Dynamics on Surfaces (individual research only) 

      [OWR-2020-27] Workshop Report 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 ...

    • 2034 - Komplexe Analysis - Algebraicity and Transcendence (hybrid meeting) 

      [OWR-2020-24] Workshop Report 2020,24 (2020) - (16 Aug - 22 Aug 2020)
      This is the report of the Oberwolfach workshop Komplexe Analysis 2020. It was mainly devoted to the transcendental methods of complex algebraic geometry and featured eighteen talks about recent important developments in ...

    • 2036 - Automorphic Forms and Arithmetic (hybrid meeting) 

      [OWR-2020-26] Workshop Report 2020,26 (2020) - (30 Aug - 05 Sep 2020)
      The workshop was at the interface of automorphic forms and analytic number theory. The aim was to disseminate, discuss and develop important new methods and results in the analytic theory of automorphic forms, in particular ...

    • 2035 - Low-Dimensional Topology and Number Theory (individual research only) 

      [OWR-2020-25] Workshop Report 2020,25 (2020) - (23 Aug - 29 Aug 2020)
      Because of the pandemia, the workshop on "Low-Dimensional Topology and Number Theory" could not be realized in the usual format or in the new hybrid format. Instead, a subgroup consisting of 6 participants used the week ...

    • 2033 - Cohomology of Finite Groups: Interactions and Applications (hybrid meeting) 

      [OWR-2020-23] Workshop Report 2020,23 (2020) - (09 Aug - 15 Aug 2020)
      The cohomology of finite groups is an important tool in many subjects including representation theory and algebraic topology. This meeting was the fifth in a series that has emphasized the interactions of group ...

    • 2032 - Calculus of Variations (hybrid meeting) 

      [OWR-2020-22] Workshop Report 2020,22 (2020) - (02 Aug - 08 Aug 2020)
      Calculus of Variations touches several interrelated areas. In this workshop we covered several topics, such as minimal submanifolds, mean curvature and related flows, free boundary problems, variational models of ...