• Localized Endomorphisms of Graph Algebras 

      [OWP-2011-04] Conti, Roberto; Hong, Jeong Hee; Szymański, Wojciech (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-7)
      Endomorphisms of graph $C^*$-algebras are investigated. A combinatorial approach to analysis of permutative endomorphisms is developed. Then invertibility criteria for localized endomorphisms are given. Furthermore, ...
    • Higher Finiteness Properties of Reductive Arithmetic Groups in Positive Characteristic: the Rank Theorem 

      [OWP-2011-05] Bux, Kai-Uwe; Köhl, Ralf; Witzel, Stefan (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-8)
      We show that the finiteness length of an $S$-arithmetic subgroup $\Gamma$ in a noncommutative isotropic absolutely almost simple group $\mathcal{G}$ over a global function field is one less than the sum of the local ranks ...
    • On Reflection Subgroups of Finite Coxeter Groups 

      [OWP-2011-06] Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-9)
      Let $W$ be a finite Coxeter group. We classify the reflection subgroups of $W$ up to conjugacy and give necessary and sufficient conditions for the map that assigns to a reflection subgroup $R$ of $W$ the conjugacy class ...
    • 1216 - Toric Geometry 

      [OWR-2012-21] (2012) - (15 Apr - 21 Apr 2012)
      Toric Geometry plays a major role where a wide variety of mathematical fields intersect, such as algebraic and symplectic geometry, algebraic groups, and combinatorics. The main feature of this workshop was to bring people ...
    • 1208b - Inverse Problems for Partial Differential Equations 

      [OWR-2012-11] (2012) - (19 Feb - 25 Feb 2012)
      This workshop brought together mathematicians engaged in different aspects of inverse problems for partial differential equations. Classical topics such as the inverse problems of impedance tomography and scattering theory ...
    • 1211 - Frontiers in Nonparametric Statistics 

      [OWR-2012-14] (2012) - (11 Mar - 17 Mar 2012)
      The goal of this workshop was to discuss recent developments of nonparametric statistical inference. A particular focus was on high dimensional statistics, semiparametrics, adaptation, nonparametric bayesian statistics, ...
    • 1214 - Arbeitsgemeinschaft: Quasiperiodic Schrödinger Operators 

      [OWR-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 ...
    • 1243 - Computational Inverse Problems 

      [OWR-2012-51] (2012) - (21 Oct - 27 Oct 2012)
      Inverse problem typically deal with the identification of unknown quantities from indirect measurements and appear in many areas in technology, medicine, biology, finance, and econometrics. The computational solution of ...
    • 1201b - Mini-Workshop: Boundary Value Problems and Spectral Geometry 

      [OWR-2012-2] (2012) - (01 Jan - 07 Jan 2012)
      Boundary value problems and spectral geometry is an attractive and rapidly developing area in modern mathematical analysis. The interaction of PDE methods with concepts from operator theory and differential geometry is ...
    • Representations of Finite Groups: Local Cohomology and Support 

      [OWS-43] Benson, David J.; Iyengar, Srikanth B.; Krause, Henning (Birkhäuser Basel, 2012)
      The seminar focuses on a recent solution, by the authors, of a long standing problem concerning the stable module category (of not necessarily finite dimensional representations) of a finite group. The proof draws on ideas ...
    • 1251 - Dynamics of Patterns 

      [OWR-2012-60] (2012) - (16 Dec - 22 Dec 2012)
      Patterns and nonlinear waves arise in many applications. Mathematical descriptions and analyses draw from a variety of fields such as partial differential equations of various types, differential and difference equations ...
    • 1231 - Mathematical Aspects of General Relativity 

      [OWR-2012-37] (2012) - (29 Jul - 04 Aug 2012)
      Mathematical general relativity, the subject of this workshop, is a remarkable confluence of different areas of mathematics. Einstein’s equation, the focus of mathematical relativity, is one of the most fruitful nonlinear ...
    • On the autonomous metric on the group of area-preserving diffeomorphisms of the 2-disc 

      [OWP-2012-16] Brandenbursky, Michael; Kȩdra, Jarek (Mathematisches Forschungsinstitut Oberwolfach, 2012)
      Let $D^2$ be the open unit disc in the Euclidean plane and let $G := Diff(D^2; area)$ be the group of smooth compactly supported area-preserving diffeomorphisms of $D^2$. For every natural number $k$ we construct an injective ...
    • 1219 - Analysis and Geometric Singularities 

      [OWR-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 ...
    • 1224 - Applied Harmonic Analysis and Sparse Approximation 

      [OWR-2012-29] (2012) - (10 Jun - 16 Jun 2012)
      Applied harmonic analysis and sparse approximation are highly active research areas with a lot of recent exciting developments. Their methods have become crucial for a wide range of applications in technology and science, ...
    • 1229 - Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry 

      [OWR-2012-35] (2012) - (15 Jul - 21 Jul 2012)
      The workshop brought together experts in the young and rapidly developing mathematical fields of Geometric group theory, hyperbolic dynamics and symplectic geometry. The activities included talks on recent achievements and ...
    • A Uniform Model for Kirillov-Reshetikhin Crystals I: Lifting the Parabolic Quantum Bruhat Graph 

      [OWP-2012-18] Lenart, Cristian; Naito, Satoshi; Sagaki, Daisuke; Schilling, Anne; Shimozono, Mark (Mathematisches Forschungsinstitut Oberwolfach, 2012)
      We consider two lifts of the parabolic quantum Bruhat graph, one into the Bruhat order in the affine Weyl group and the other into a level-zero weight poset first considered by Littelmann. The lift into the affine Weyl ...
    • 1221 - Geometrie 

      [OWR-2012-27] (2012) - (20 May - 26 May 2012)
      During the meeting a wide range of topics in geometry was discussed. There were 18 one hour talks and four half an hour talks which took place after dinner.
    • 1227b - Geometric Aspects of Spectral Theory 

      [OWR-2012-33] (2012) - (01 Jul - 07 Jul 2012)
      The workshop “Geometric Aspects of Spectral Theory” brought together leading researchers working in various areas of this vast field of mathematics. The meeting featured presentations on some of the most fascinating recent ...
    • 1227a - Reductions of Shimura Varieties 

      [OWR-2012-32] (2012) - (01 Jul - 07 Jul 2012)
      The workshop brought together leading experts in the theory of reductions of Shimura varieties. The talks presented new methods and results that intertwine a multitude of topics such as geometry and cohomology of moduli ...