Auflistung Oberwolfach Reports nach Titel

Anzeige der Dokumente 82-101 von 1192

    • 1914 - Arbeitsgemeinschaft: Elliptic Cohomology according to Lurie 

      [OWR-2019-15] Workshop Report 2019,15 (2019)
      In this collection we give an overview of Jacob Lurie's construction of elliptic cohomology and Lubin Tate theory. As opposed to the original construction by Goerss-Hopkins-Miller, which uses heavy obstruction theory, ...

    • 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 ...

    • 2214 - Arbeitsgemeinschaft: Geometric Representation Theory 

      [OWR-2022-18] Workshop Report 2022,18 (2022) - (03 Apr - 09 Apr 2022)
      Our understanding of algebraic representations of reductive algebraic groups in positive characteristic has seen big advances in the last years and has been largely transformed into the geometric theory of studying parity ...

    • 2414 - Arbeitsgemeinschaft: Geometry and Representation Theory around the P=W Conjecture 

      [OWR-2024-16] Workshop Report 2024,16 (2024) - (31 Mar - 05 Apr 2024)
      Given a smooth projective curve C, nonabelian Hodge theory gives a diffeomorphism between two different moduli spaces associated to C. The first is the moduli space of Higgs bundles on C of rank n, which is equipped ...

    • 1714 - Arbeitsgemeinschaft: Higher Gross Zagier Formulas 

      [OWR-2017-18] Workshop Report 2017,18 (2017) - (02 Apr - 08 Apr 2017)
      The aim of this Arbeitsgemeinschaft is to go over the proof of the higher Gross–Zagier formula established in the paper [YZ15]. The formula relates arbitrary order central derivative of the base change L-function of an ...

    • 2241 - Arbeitsgemeinschaft: Higher Rank Teichmüller Theory 

      [OWR-2022-47] Workshop Report 2022,47 (2022) - (09 Oct - 14 Oct 2022)
      Higher rank Teichmüller theory is the study of certain connected components of character varieties of surface groups in higher rank semisimple Lie groups, with the property that all elements in these components correspond ...

    • 0814 - Arbeitsgemeinschaft: Julia Sets of Positive Measure 

      [OWR-2008-17] Workshop Report 2008,17 (2008) - (30 Mar - 05 Apr 2008)
      In this Arbeitsgemeinschaft, we presented the proof that there exist quadratic polynomials having a non-linearizable fixed point and a Julia set of positive Lebesgue measure.

    • 1314 - Arbeitsgemeinschaft: Limits of Structures 

      [OWR-2013-16] Workshop Report 2013,16 (2013) - (31 Mar - 05 Apr 2013)
      The goal of the Arbeitsgemeinschaft is to review current progress in the study of very large structures. The main emphasis is on the analytic approach that considers large structures as approximations of infinite analytic ...

    • 1014 - Arbeitsgemeinschaft: Mathematical Billards 

      [OWR-2010-17] Workshop Report 2010,17 (2010) - (04 Apr - 10 Apr 2010)
      The workshop Mathematical Billiards, organised by Serge Tabachnikov (Penn State) and Serge Troubetzkoy (Marseille) was held April 4th–April 10th, 2010. This meeting was well attended by over 40 participants including a ...

    • 1541 - Arbeitsgemeinschaft: Mathematical Quasicrystals 

      [OWR-2015-44] Workshop Report 2015,44 (2015) - (04 Oct - 09 Oct 2015)
      This introductory workshop encouraged participants to read important recent works in the topology, geometry and dynamics of highly regular (but aperiodic) discrete sets in Euclidean spaces, and their corresponding tiling ...

    • 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 ...

    • 0741 - Arbeitsgemeinschaft: Percolation 

      [OWR-2007-48] Workshop Report 2007,48 (2007) - (07 Oct - 13 Oct 2007)
      Abstract. Percolation as a mathematical theory is more than fifty years old. During its life, it has attracted the attention of both physicists and mathematicians. This is due in large part to the fact that it represents ...

    • 2351 - Arbeitsgemeinschaft: QFT and Stochastic PDEs 

      [OWR-2023-59] Workshop Report 2023,59 (2023) - (17 Dec - 22 Dec 2023)
      Quantum field theory (QFT) is a fundamental framework for a wide range of phenomena is physics. The link between QFT and SPDE was first observed by the physicists Parisi and Wu (1981), known as Stochastic Quantisation. ...

    • 2242 - Arbeitsgemeinschaft: Quantitative Stochastic Homogenization 

      [OWR-2022-48] Workshop Report 2022,48 (2022) - (16 Oct - 22 Oct 2022)
      Homogenization means approximating the effective, i.e. macroscopic, behavior of a heterogeneous medium by a homogeneous one, which amounts to a substantial conceptual and practical reduction of complexity. Stochastic ...

    • 1141 - Arbeitsgemeinschaft: Quantum Ergodicity 

      [OWR-2011-49] Workshop Report 2011,49 (2011) - (09 Oct - 14 Oct 2011)
      Quantum Ergodicity aims at understanding the eigenstates of quantum mechanical systems admitting chaotic classical limiting dynamics. A paradigmatic system is the Laplace-Beltrami operator on a compact manifold of negative ...

    • 2441 - Arbeitsgemeinschaft: Quantum Signal Processing and Nonlinear Fourier Analysis 

      [OWR-2024-46] Workshop Report 2024,46 (2024) - (06 Oct - 11 Oct 2024)
      A pivotal algorithm in quantum signal processing represents a real-valued function as a specific entry in a product of SU(2) matrices, where an argument matrix alternates with a sequence of coefficient matrices. Recently, ...

    • 1214 - Arbeitsgemeinschaft: Quasiperiodic Schrödinger Operators 

      [OWR-2012-17] Workshop Report 2012,17 (2012) - (01 Apr - 07 Apr 2012)
      This Arbeitsgemeinschaft discussed the spectral properties of quasi-periodic Schrödinger operators in one space dimension. After presenting background material on Schrödinger operators with dynamically defined potentials ...

    • 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 ...