• Abstract Bivariant Cuntz Semigroups 

      [OWP-2017-04] Antoine, Ramon; Perera, Francesc; Thiel, Hannes (Mathematisches Forschungsinstitut Oberwolfach, 2017-02-13)
      We show that abstract Cuntz semigroups form a closed symmetric monoidal category. Thus, given Cuntz semigroups $S$ and $T$, there is another Cuntz semigroup $((S,T))$ playing the role of morphisms from $S$ to $T$. Applied ...
    • Abundance of 3-Planes on Real Projective Hypersurfaces 

      [OWP-2014-14] Finashin, Sergey; Kharlamov, Viatcheslav (Mathematisches Forschungsinstitut Oberwolfach, 2014-11-11)
      We show that a generic real projective n-dimensional hypersurface of odd degree $d$, such that $4(n-2)=\binom{d+3}{3}$, contains "many" real 3-planes, namely, in the logarithmic scale their number has the same rate of ...
    • 1036 - Actions and Invariants of Residually Finite Groups: Asymptotic Methods 

      [OWR-2010-40] (2010) - (05 Sep - 11 Sep 2010)
      The workshop brought together experts in finite group theory, L2-cohomology, measured group theory, the theory of lattices in Lie groups, probability and topology. The common object of interest was residually finite groups, ...
    • 1638a - Adaptive Algorithms 

      [OWR-2016-44] (2016) - (18 Sep - 24 Sep 2016)
      Overwhelming empirical evidence in computational science and engineering proved that self-adaptive mesh-generation is a must-do in real-life problem computational partial differential equations. The mathematical understanding ...
    • The adaptive finite element method 

      [SNAP-2016-013-EN] Gallistl, Dietmar (Mathematisches Forschungsinstitut Oberwolfach, 2016)
      Computer simulations of many physical phenomena rely on approximations by models with a finite number of unknowns. The number of these parameters determines the computational effort needed for the simulation. On the other ...
    • 0724 - Adaptive Numerical Methods for PDEs 

      [OWR-2007-29] (2007) - (10 Jun - 16 Jun 2007)
      This collection contains the extended abstracts of the talks given at the Oberwolfach Conference on “Adaptive Numerical Methods for PDEs”, June 10th - June 16th, 2007. These talks covered various aspects of a posteriori ...
    • 1411 - Adaptive Statistical Inference 

      [OWR-2014-13] (2014) - (09 Mar - 15 Mar 2014)
      This workshop in mathematical statistics highlights recent advances in adaptive methods for statistical estimation, testing and confidence sets. Related open mathematical problems are discussed with potential impact on the ...
    • 1207 - Advanced Computational Engineering 

      [OWR-2012-9] (2012) - (12 Feb - 18 Feb 2012)
      The finite element method is the established simulation tool for the numerical solution of partial differential equations in many engineering problems with many mathematical developments such as mixed finite element methods ...
    • 0702 - Affine Algebraic Geometry 

      [OWR-2007-1] (2007) - (07 Jan - 13 Jan 2007)
      Affine geometry deals with algebro-geometric questions of affine varieties that are treated with methods coming from various areas of mathematics like commutative and non-commutative algebra, algebraic, complex analytic and ...
    • 0020 - Affine Algebraic Geometry 

      [TB-2000-21] (2000) - (14 May - 20 May 2000)
    • Affine Space Fibrations 

      [OWP-2018-19] Gurjar, Rajendra V.; Masuda, Kayo; Miyanishi, Masayoshi (Mathematisches Forschungsinstitut Oberwolfach, 2018-09-05)
      We discuss various aspects of affine space fibrations. Our interest will be focused in the singular fibers, the generic fiber and the propagation of properties of a given smooth special fiber to nearby fibers.
    • Alexander r-Tuples and Bier Complexes 

      [OWP-2016-17] Jojic, Dusko; Nekrasov, Ilya; Panina, Gaiane; Zivaljevic, Rade (Mathematisches Forschungsinstitut Oberwolfach, 2016-10)
      We introduce and study Alexander $r$-Tuples $\mathcal{K} = \langle K_i \rangle ^r_{i=1}$ of simplicial complexes, as a common generalization of pairs of Alexander dual complexes (Alexander 2-tuples) and r-unavoidable ...
    • The algebra of differential operators for a Gegenbauer weight matrix 

      [OWP-2015-07] Ignacio Nahuel Zurrián (Mathematisches Forschungsinstitut Oberwolfach, 2015-07-29)
      In this work we study in detail the algebra of differential operators $\mathcal{D}(W)$ associated with a Gegenbauer matrix weight. We prove that two second order operators generate the algebra, indeed $\mathcal{D}(W)$ is ...
    • Algebra, matrices, and computers 

      [SNAP-2019-005-EN] Detinko, Alla; Flannery, Dane; Hulpke, Alexander (Mathematisches Forschungsinstitut Oberwolfach, 2019-05-03)
      What part does algebra play in representing the real world abstractly? How can algebra be used to solve hard mathematical problems with the aid of modern computing technology? We provide answers to these questions that ...
    • 1605 - Algebraic Cobordism and Projective Homogeneous Varieties 

      [OWR-2016-5] (2016) - (31 Jan - 06 Feb 2016)
      The aim of this workshop was to bring together researchers in the theory of projective homogeneous varieties with researchers working on cohomology theories of algebraic varieties, so that the latter can learn about the ...
    • The algebraic combinatorial approach for low-rank matrix completion 

      [OWP-2013-05] Király, Franz J.; Theran, Louis; Ryota,Tomioka; Uno, Takeaki (Mathematisches Forschungsinstitut Oberwolfach, 2013-03-14)
      We propose an algebraic combinatorial framework for the problem of completing partially observed low-rank matrices. We show that the intrinsic properties of the problem, including which entries can be reconstructed, and ...
    • Algebraic geometric comparison of probability distributions 

      [OWP-2011-30] Király, Franz J.; Bünau, Paul von; Meinecke, Frank C.; Blythe, Duncan A. J.; Müller, Klaus-Robert (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-27)
      We propose a novel algebraic framework for treating probability distributions represented by their cumulants such as the mean and covariance matrix. As an example, we consider the unsupervised learning problem of finding ...
    • 1512 - Algebraic Geometry 

      [OWR-2015-15] (2015) - (15 Mar - 21 Mar 2015)
      The workshop covered a broad variety of areas in algebraic geometry and was the occasion to report on recent advances and works in progress. Special emphasis was put on the role of derived categories and various stability ...
    • 1739 - Algebraic Geometry: Birational Classification, Derived Categories, and Moduli Spaces 

      [OWR-2017-45] (2017) - (24 Sep - 30 Sep 2017)
      The workshop covered a number of active areas of research in algebraic geometry with a focus on derived categories, moduli spaces (of varieties and sheaves) and birational geometry (often in positive characteristic) and ...
    • 2029 - Algebraic Geometry: Moduli Spaces, Birational Geometry and Derived Aspects (hybrid meeting) 

      [OWR-2020-19] (2020) - (12 Jul - 18 Jul 2020)
      The talks at the workshop and the research done during the week focused on aspects of algebraic geometry in the broad sense. Special emphasis was put on hyperkähler manifolds and derived categories.