• 1234a - Optimal and Near Optimal Configurations on Lattices and Manifolds 

      [OWR-2012-40] (2012) - (19 Aug - 25 Aug 2012)
      Optimal configurations of points arise in many contexts, for example classical ground states for interacting particle systems, Euclidean packings of convex bodies, as well as minimal discrete and continuous energy problems ...
    • 1215a - Mini-Workshop: Generalizations of Symmetric Spaces 

      [OWR-2012-18] (2012) - (08 Apr - 14 Apr 2012)
      This workshop brought together experts from the areas of algebraic Lie theory, invariant theory, Kac–Moody theory and the theories of Tits buildings and of symmetric spaces. The main focus was on topics related to symmetric ...
    • 1246 - Complexity Theory 

      [OWR-2012-54] (2012) - (11 Nov - 17 Nov 2012)
      Computational Complexity Theory is the mathematical study of the intrinsic power and limitations of computational resources like time, space, or randomness. The current workshop focused on recent developments in various ...
    • 1240c - Mini-Workshop: Cohomology Rings and Fundamental Groups of Hyperplane Arrangements, Wonderful Compactifications, and Real Toric Varieties 

      [OWR-2012-49] (2012) - (01 Oct - 06 Oct 2012)
      The purpose of this workshop was to bring together researchers with a common interest in the objects mentioned in the title from, respectively, the points of view of toric and tropical geometry, arrangement theory, and ...
    • 1218 - Triangulations 

      [OWR-2012-24] (2012) - (29 Apr - 05 May 2012)
      The earliest work in topology was often based on explicit combinatorial models – usually triangulations – for the spaces being studied. Although algebraic methods in topology gradually replaced combinatorial ones in the ...
    • 1202 - Explicit Versus Tacit Knowledge in Mathematics 

      [OWR-2012-4] (2012) - (08 Jan - 14 Jan 2012)
      This workshop aimed to bring together an international group of historians of mathematics to reflect upon the role played by tacit knowledge in doing mathematics at various times and places. The existence of tacit knowledge ...
    • 1217b - Singularity Theory and Integrable Systems 

      [OWR-2012-23] (2012) - (22 Apr - 28 Apr 2012)
      The workshop brought together three very different areas of mathematics, namely singularity theory, integrable systems and quantum cohomology. They are linked by their applications in topological quantum field theory and ...
    • 1248c - Mini-Workshop: Geometries, Shapes and Topologies in PDE-based Applications 

      [OWR-2012-57] (2012) - (25 Nov - 01 Dec 2012)
      The aim of the workshop was to study geometrical objects and their sensitivities in applications based on partial differential equations or differential variational inequalities. Focus topics comprised analytical investigations, ...
    • 1234b - Rough Paths and PDEs 

      [OWR-2012-41] (2012) - (19 Aug - 25 Aug 2012)
      The purpose of the Oberwolfach workshop ”Rough Paths and PDEs” was to bring together these researchers, both young and senior, with the aim to promote progress in rough path theory, the connections with partial differential ...
    • 1213 - Representations of Finite Groups 

      [OWR-2012-16] (2012) - (25 Mar - 31 Mar 2012)
      The workshop "Representations of Finite Groups" was organised by Joseph Chuang (London), Markus Linckelmann (Aberdeen), Gunter Malle (Kaiserslautern) and Jeremy Rickard (Bristol). It covered a wide variety of aspects of ...
    • 1248a - Mini-Workshop: Efficient and Robust Approximation of the Helmholtz Equation 

      [OWR-2012-55] (2012) - (25 Nov - 01 Dec 2012)
      The accurate and efficient treatment of wave propogation phenomena is still a challenging problem. A prototypical equation is the Helmholtz equation at high wavenumbers. For this equation, Babuška & Sauter showed in 2000 ...
    • 1241 - Arbeitsgemeinschaft: Ergodic Theory and Combinatorial Number Theory 

      [OWR-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 ...
    • Commuting Differential Operators and Higher-dimensional Algebraic Varieties 

      [OWP-2012-02] Kurke, Herbert; Osipov, Denis; Zheglov, Alexander (Mathematisches Forschungsinstitut Oberwolfach, 2012-03-20)
      Several algebro-geometric properties of commutative rings of partial differential operators as well as several geometric constructions are investigated.
    • Cryptanalysis of Public-key Cryptosystems Based on Algebraic Geometry Codes 

      [OWP-2012-01] Márquez-Corbella, Irene; Martínez-Moro, Edgar; Pellikaan, Ruud (Mathematisches Forschungsinstitut Oberwolfach, 2012-03-20)
      This paper addresses the question of retrieving the triple $(\mathcal{X},\mathcal{P},\mathcal{E})$ from the algebraic geometry code $\mathcal{C}_L(\mathcal{X},\mathcal{P},\mathcal{E})$, where $\mathcal{X}$ is an algebraic ...
    • Weakly Complex Homogeneous Spaces 

      [OWP-2012-04] Moroianu, Andrei; Semmelmann, Uwe (Mathematisches Forschungsinstitut Oberwolfach, 2012-04-24)
      We complete our recent classification of compact inner symmetric spaces with weakly complex tangent bundle by filling up a case which was left open, and extend this classification to the larger category of compact homogeneous ...
    • Categoric Aspects of Authentication 

      [OWP-2012-05] Schillewaert, Jeroen; Thas, Koen (Mathematisches Forschungsinstitut Oberwolfach, 2012-04-24)
    • Invariant Four-forms and Symmetric Pairs 

      [OWP-2012-03] Moroianu, Andrei; Semmelmann, Uwe (Mathematisches Forschungsinstitut Oberwolfach, 2012-04-24)
      We give criteria for real, complex and quaternionic representations to define $s$-representations, focusing on exceptional Lie algebras defined by spin representations. As applications, we obtain the classification of ...
    • Spatial-Skin Effect for a Spectral Problem with "Slightly Heavy" Concentrated Masses in a Thick Cascade Junction 

      [OWP-2012-10] Čečkin, Grigorij A.; Mel'nyk, Taras A. (Mathematisches Forschungsinstitut Oberwolfach, 2012-07-03)
      The asymptotic behavior (as $\varepsilon \to 0$) of eigenvalues and eigenfunctions of a boundary- value problem for the Laplace operator in a thick cascade junction with concentrated masses is studied. This cascade junction ...
    • Ghost Algebras of Double Burnside Algebras via Schur Functors 

      [OWP-2012-09] Boltje, Robert; Danz, Susanne (Mathematisches Forschungsinstitut Oberwolfach, 2012-07-03)
      For a finite group $G$, we introduce a multiplication on the $\mathbb{Q}$-vector space with basis $\mathscr{S}_{G\times G}$, the set of subgroups of ${G \times G}$. The resulting $\mathbb{Q}$-algebra $\tilde{A}$ can be ...
    • A real algebra perspective on multivariate tight wavelet frames 

      [OWP-2012-11] Charina, Maria; Putinar, Mihai; Scheiderer, Claus; Stöckler, Joachim (Mathematisches Forschungsinstitut Oberwolfach, 2012-08-13)
      Recent results from real algebraic geometry and the theory of polynomial optimization are related in a new framework to the existence question of multivariate tight wavelet frames whose generators have at least one vanishing ...