• Module Categories for Group Algebras over Commutative Rings 

      [OWP-2012-12] Benson, David J.; Iyengar, Srikanth B.; Krause, Henning; Stevenson, Greg (Mathematisches Forschungsinstitut Oberwolfach, 2012-10-01)
      We develop a suitable version of the stable module category of a finite group $G$ over an arbitrary commutative ring $k$. The purpose of the construction is to produce a compactly generated triangulated category whose ...
    • Polynomiality, wall crossings and tropical geometry of rational double hurwitz cycles 

      [OWP-2012-13] Bertram, Aaron; Cavalieri, Renzo; Markwig, Hannah (Mathematisches Forschungsinstitut Oberwolfach, 2012-12-04)
      We study rational double Hurwitz cycles, i.e. loci of marked rational stable curves admitting a map to the projective line with assigned ramification profiles over two fixed branch points. Generalizing the phenomenon ...
    • On commuting varieties of nilradicals of Borel subalgebras of reductive Lie algebras 

      [OWP-2012-14] Goodwin, Simon M.; Röhrle, Gerhard (Mathematisches Forschungsinstitut Oberwolfach, 2012-12-04)
      Let $G$ be a connected reductive algebraic group defined over an algebraically closed field $\mathbb{k}$ of characteristic zero. We consider the commuting variety $\mathcal{C}(\mathfrak{u})$ of the nilradical $\mathfrak{u}$ ...
    • K-Triviality, Oberwolfach randomness, and differentiability 

      [OWP-2012-17] Bienvenu, Laurent; Greenberg, Noam; Kučera, Antonin; Nies, André; Turetsky, Dan (Mathematisches Forschungsinstitut Oberwolfach, 2012-12-21)
      We show that a Martin-Lof random set for which the effective version of the Lebesgue density theorem fails computes every $K$-trivial set. Combined with a recent result by Day and Miller, this gives a positive solution to ...
    • 1314 - Arbeitsgemeinschaft: Limits of Structures 

      [OWR-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 ...
    • 1309 - Structured Function Systems and Applications 

      [OWR-2013-11] (2013) - (24 Feb - 02 Mar 2013)
      Quite a few independent investigations have been devoted recently to the analysis and construction of structured function systems such as e.g. wavelet frames with compact support, Gabor frames, refinable functions in the ...
    • 1323 - Geometric Structures in Group Theory 

      [OWR-2013-28] (2013) - (02 Jun - 08 Jun 2013)
      The overall theme of the conference was geometric group theory, interpreted quite broadly. In general, geometric group theory seeks to understand algebraic properties of groups by studying their actions on spaces with ...
    • 1325a - The Arithmetic of Fields 

      [OWR-2013-30] (2013) - (16 Jun - 22 Jun 2013)
      This report includes extended abstracts of talks given in a conference on the ”Arithmetic of Fields” that was held inMathematisches Forschung Institute, Oberwolfach during 16–22 June 2013. It also includes extended abstracts ...
    • 1346 - Design and Analysis of Infectious Disease Studies 

      [OWR-2013-55] (2013) - (10 Nov - 16 Nov 2013)
      The fourth workshop on this theme is devoted to the statistical problems of planning and analyzing studies in infectious disease epidemiology.
    • 1345a - Mini-Workshop: Quaternion Kähler Structures in Riemannian and Algebraic Geometry 

      [OWR-2013-53] (2013) - (03 Nov - 09 Nov 2013)
      Metrics of special holonomy are of central interest in both Riemannian and complex algebraic geometry. We focus on an important classification problem of a particular type of special holonomy manifolds, namely compact ...
    • 1313 - Interfaces and Free Boundaries: Analysis, Control and Simulation 

      [OWR-2013-15] (2013) - (24 Mar - 30 Mar 2013)
      The field of mathematical and numerical analysis of systems of nonlinear partial differential equations involving interfaces and free boundaries is a flourishing area of research. Many such systems arise from mathematical ...
    • 1350 - Cluster Algebras and Related Topics 

      [OWR-2013-58] (2013) - (08 Dec - 14 Dec 2013)
      Cluster algebras are a class of commutative algebras intoduced by Fomin and Zelevinsky in 2000. Their original purpose was to obtain a combinatorial approach to Lusztig’s dual canonical bases of quantum groups and to total ...
    • 1334 - Group Theory, Measure, and Asymptotic Invariants 

      [OWR-2013-42] (2013) - (18 Aug - 24 Aug 2013)
      The workshop ‘Group Theory, Measure, and Asymptotic Invariants’ organized by Miklos Abert (Budapest), Damien Gaboriau (Lyon) and Andreas Thom (Leipzig) was held 18 - 24 August 2013. The event was a continuation of the ...
    • 1320a - Mini-Workshop: Spherical Varieties and Automorphic Representations 

      [OWR-2013-24] (2013) - (12 May - 18 May 2013)
      This workshop brought together, for the first time, experts on spherical varieties and experts on automorphic forms, in order to discuss subjects of common interest between the two fields. Spherical varieties have a very ...
    • 1317b - Extremes in Branching Random Walk and Branching Brownian Motion 

      [OWR-2013-20] (2013) - (21 Apr - 27 Apr 2013)
      Branching random walk (BRW) and branching Brownian motion (BBM) are mathematical models for population growth and spatial displacement. When resources are plentiful, population sizes grow exponentially in time. In such a ...
    • 1307c - Mini-Workshop: Stochastic Analysis for Poisson Point Processes: Malliavin Calculus, Wiener-Ito Chaos Expansions and Stochastic Geometry 

      [OWR-2013-9] (2013) - (10 Feb - 16 Feb 2013)
      Malliavin calculus plays an important role in the stochastic analysis for Poisson point processes. This technique is tightly connected with chaotic expansions, that were introduced in the first half of the last century by ...
    • 1320b - Mini-Workshop: Constructive Homological Algebra with Applications to Coherent Sheaves and Control Theory 

      [OWR-2013-25] (2013) - (12 May - 18 May 2013)
      The main objective of this mini-workshop is to bring together recent developments in constructive homological algebra. There, the current state already reached a level of generality which allows simultaneous application ...
    • 1302 - Model Theory: Groups, Geometry, and Combinatorics 

      [OWR-2013-1] (2013) - (07 Jan - 12 Jan 2013)
      Overall this was a high quality meeting, with carefully chosen talks fitting in with the announced themes of the workshop.
    • 1325b - Quadratic Forms and Linear Algebraic Groups 

      [OWR-2013-31] (2013) - (16 Jun - 22 Jun 2013)
      Topics discussed at the workshop “Quadratic Forms and Linear Algebraic Groups” included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic ...
    • 1338b - High-Resolution Mathematical and Numerical Analysis of Involution-Constrained PDEs 

      [OWR-2013-47] (2013) - (15 Sep - 21 Sep 2013)
      Partial differential equations constrained by involutions provide the highest fidelity mathematical models for a large number of complex physical systems of fundamental interest in critical scientific and technological ...