• On Siegel modular forms of level p and their properties mod p 

      [OWP-2009-23] Böcherer, Siegfried; Nagaoka, Shoyu (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-16)
      Using theta series we construct Siegel modular forms of level p which behave well modulo $p$ in all cusps. This construction allows us to show (under a mild condition) that all Siegel modular forms of level p and weight 2 ...
    • Discrete non-commutative integrability: the proof of a conjecture by M. Kontsevich 

      [OWP-2009-24] Di Francesco, Philippe; Kedem, Rinat (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-17)
      We prove a conjecture of Kontsevich regarding the solutions of rank two recursion relations for non-commutative variables which, in the commutative case, reduce to rank two cluster algebras of affine type. The conjecture ...
    • A new counting function for the zeros of holomorphic curves 

      [OWP-2009-25] Anderson, J. M.; Hinkkanen, Aimo (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-18)
      Let $f_1,..., f_p$ be entire functions that do not all vanish at any point, so that $(f_1,..., f_p)$ is a holomorphic curve in $\mathbb{CP}^{p-1}$. We introduce a new and more careful notion of counting the order of the ...
    • Weighted Fourier inequalities for radial functions 

      [OWP-2009-26] Gorbachev, D.; Liflyand, E.; Tichonovič, S. V. (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-19)
      Weighted $L^p(\mathbb{R}^n) \to L^q(\mathbb{R}^n)$ Fourier inequalities are studied. We prove Pitt-Boas type results on integrability with power weights of the Fourier transform of a radial function.
    • Optimal bounds for the colored Tverberg Problem 

      [OWP-2009-27] Blagojevic, Pavle V. M.; Matschke, Benjamin; Ziegler, Günter M. (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-20)
      We prove a "Tverberg type" multiple intersection theorem. It strengthens the prime case of the original Tverberg theorem from 1966, as well as the topological Tverberg theorem of Bárány et al. (1980), by adding color ...
    • 1040c - Mini-Workshop: Higher Dimensional Elliptic Fibrations 

      [OWR-2010-46] (2010) - (03 Oct - 09 Oct 2010)
      Elliptic fibrations play a central role in the geometry of complex surfaces, and there is a comprehensive array of theory and examples. They arise also as a tool in many applications, such as the construction of rational ...
    • 1007 - Computational Electromagnetism and Acoustics 

      [OWR-2010-10] (2010) - (14 Feb - 20 Feb 2010)
      The challenge inherent in the accurate and efficient numerical modeling of wave propagation phenomena is the common grand theme in both computational electromagnetics and acoustics. Many excellent contributions at this ...
    • 1023 - Geometry, Quantum Fields, and Strings: Categorial Aspects 

      [OWR-2010-25] (2010) - (06 Jun - 12 Jun 2010)
      Currently, in the interaction between string theory, quantum field theory and topology, there is an increased use of category-theoretic methods. Independent developments (e.g. the categorificiation of knot invariants, ...
    • 1034c - Mini-Workshop: Exploiting Symmetry in Optimization 

      [OWR-2010-38] (2010) - (22 Aug - 28 Aug 2010)
      The feasible regions of mathematical optimization models quite often exhibit a high degree of symmetry. In recent years, several groups of researchers have independently worked on algorithmic approaches to exploit such ...
    • 1008 - Graph Theory 

      [OWR-2010-11] (2010) - (21 Feb - 27 Feb 2010)
      Highlights of this workshop on structural graph theory included new developments on graph and matroid minors, continuous structures arising as limits of finite graphs, and new approaches to higher graph connectivity via ...
    • Conformal Differential Geometry 

      [OWS-40] Baum, Helga; Juhl, Andreas (Birkhäuser Basel, 2010)
      Conformal invariants (conformally invariant tensors, conformally covariant differential operators, conformal holonomy groups etc.) are of central significance in differential geometry and physics. Well-known examples of ...
    • 1040a - Mini-Workshop: Shearlets 

      [OWR-2010-44] (2010) - (03 Oct - 09 Oct 2010)
      Over the last 20 years, multiscale methods and wavelets have revolutionized the field of applied mathematics by providing an efficient means for encoding isotropic phenomena. Directional multiscale systems, particularly ...
    • 1017 - Non-positive Curvature and Geometric Structures in Group Theory 

      [OWR-2010-20] (2010) - (25 Apr - 01 May 2010)
      The focus of this meeting was the use of geometric methods to study infinite discrete groups. Key topics included isometric actions of such groups on spaces of nonpositive curvature, such as CAT(0) cube complexes, buildings, ...
    • 1002 - Moduli Spaces in Algebraic Geometry 

      [OWR-2010-2] (2010) - (10 Jan - 16 Jan 2010)
      The workshop on Moduli Spaces in Algebraic Geometry aimed to bring together researchers from all branches of moduli theory, in order to discuss moduli spaces from different points of view, and to give an overview of methods ...
    • 1038 - Topologie 

      [OWR-2010-42] (2010) - (19 Sep - 25 Sep 2010)
      This conference is one of the few occasions where researchers from many different areas in algebraic and geometric topology are able to meet and exchange ideas. Accordingly, the program covered a wide range of new developments ...
    • 1018 - Progress in Surface Theory 

      [OWR-2010-21] (2010) - (02 May - 08 May 2010)
      The theory of surfaces is interpreted these days as a prototype of submanifold geometry and is characterized by the substantial application of PDE methods and methods from the theory of integrable systems, in addition to ...
    • 1049 - Classical and Quantum Mechanical Models of Many-Particle Systems 

      [OWR-2010-54] (2010) - (05 Dec - 11 Dec 2010)
      The topic of this meeting were non-linear partial differential and integro-differential equations (in particular kinetic equations and their macroscopic/fluid-dynamical limits) modeling the dynamics of many-particle systems ...
    • Weak-duality based adaptive finite element methods for PDE-constrained optimization with pointwise gradient state-constraints 

      [OWP-2010-15] Hintermüller, Michael; Hinze, Michael; Hoppe, Ronald H. W. (Mathematisches Forschungsinstitut Oberwolfach, 2010)
      Adaptive finite element methods for optimization problems for second order linear elliptic partial di erential equations subject to pointwise constraints on the $\ell^2$-norm of the gradient of the state are considered. ...
    • Supertropical linear algebra 

      [OWP-2010-14] Izhakian, Zur; Knebusch, Manfred; Rowen, Louis (Mathematisches Forschungsinstitut Oberwolfach, 2010)
      The objective of this paper is to lay out the algebraic theory of supertropical vector spaces and linear algebra, utilizing the key antisymmetric relation of "ghost surpasses." Special attention is paid to the various ...
    • 1032 - Mathematical Theory and Modelling in Atmosphere-Ocean-Science 

      [OWR-2010-34] (2010) - (08 Aug - 14 Aug 2010)
      Participants from around the world gathered to review application and development of mathematics in relation to problems in the atmospheric, oceanic and climate sciences.