Browsing by MSC "55"

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    • Aeppli-Bott-Chern-Massey Products, Bigraded Notions of Formality, and Non-Zero Degree Maps 

      [OWP-2022-04] Milivojević, Aleksandar; Stelzig, Jonas (Mathematisches Forschungsinstitut Oberwolfach, 2022-02-15)
      We introduce and study notions of bigraded formality for the algebra of forms on a complex manifold, along with their relation to higher Aeppli-Bott-Chern-Massey products which extend, in an augmented setting, the case of ...

    • 0611 - Analysis and Topology in Interaction 

      [OWR-2006-13] (2006) - (12 Mar - 18 Mar 2006)
      This workshop brought together, on the one side, mathematicians working in areas of global analysis and index theory, which are related with problems in algebraic topology, and on the other side, specialists in fields like ...

    • 0540 - Arbeitsgemeinschaft mit aktuellem Thema: Modern Foundations for Stable Homotopy Theory 

      [OWR-2005-46] (2005) - (02 Oct - 08 Oct 2005)
      In recent years, spectral algebra or stable homotopical algebra over structured ring spectra has become an important new direction in stable homotopy theory. This workshop provided an introduction to structured ring spectra ...

    • 0641 - Arbeitsgemeinschaft mit aktuellem Thema: Twisted K-Theory 

      [OWR-2006-46] (2006) - (08 Oct - 14 Oct 2006)
      The “Arbeitsgemeinsschaft mit aktuellem Thema ‘Twisted K-Theory’ ” gave an introduction to several aspects of twisted K-theory. It started with a couple of different definitions of twisted K-theory, suitable in situations ...

    • 1914 - Arbeitsgemeinschaft: Elliptic Cohomology according to Lurie 

      [OWR-2019-15] (2019)
      In this collection we give an overview of Jacob Lurie's construction of elliptic cohomology and Lubin Tate theory. As opposed to the original construction by Goerss-Hopkins-Miller, which uses heavy obstruction theory, ...

    • 2214 - Arbeitsgemeinschaft: Geometric Representation Theory 

      [OWR-2022-18] (2022) - (03 Apr - 09 Apr 2022)
      Our understanding of algebraic representations of reductive algebraic groups in positive characteristic has seen big advances in the last years and has been largely transformed into the geometric theory of studying parity ...

    • 1114 - Arbeitsgemeinschaft: Rational Homotopy Theory in Mathematics and Physics 

      [OWR-2011-18] (2011) - (03 Apr - 08 Apr 2011)
      This Arbeitsgemeinschaft focused on the interplay among rational homotopy theory, differential geometry and the physics of string topology. The talks centered on one hand on how geometry and string topology make use of ...

    • 1041 - Arbeitsgemeinschaft: Topological Robotics 

      [OWR-2010-47] (2010) - (10 Oct - 16 Oct 2010)
      The purpose of the Arbeitsgemeinschaft was to enable PhD students and researchers to study Topological Robotics, a new field investigating topological problems motivated by robotics and engineering as well as problems of ...

    • The Brown Complex in Non-Defining Characteristic and Applications 

      [OWP-2023-14] Rossi, Damiano (Mathematisches Forschungsinstitut Oberwolfach, 2023-07-25)
      We study the Brown complex associated to the poset of $\ell$-subgroups in the case of a finite reductive group defined over a field $\mathbb{F}_q$ of characteristic prime to $\ell$. First, under suitable hypotheses, we ...

    • 1519 - Cohomology of Finite Groups: Interactions and Applications 

      [OWR-2015-24] (2015) - (03 May - 09 May 2015)
      The cohomology of finite groups is an important tool in many subjects including representation theory and algebraic topology. This meeting was the fourth in a series that has emphasized the interactions of group cohomology ...

    • 1030 - Cohomology of Finite Groups: Interactions and Applications 

      [OWR-2010-32] (2010) - (25 Jul - 31 Jul 2010)
      The cohomology of finite groups is an important tool in many subjects including representation theory and algebraic topology. This meeting was the third in a series that has emphasized the interactions of group cohomology ...

    • 0536 - Cohomology of Finite Groups: Interactions and Applications 

      [OWR-2005-42] (2005) - (04 Sep - 10 Sep 2005)
      This is a report on a meeting on interactions and applications of the cohomology of finite groups. Besides several talks on the cohomology of finite groups there were talks on related subjects, in particular on the cohomology ...

    • 2033 - Cohomology of Finite Groups: Interactions and Applications (hybrid meeting) 

      [OWR-2020-23] (2020) - (09 Aug - 15 Aug 2020)
      The cohomology of finite groups is an important tool in many subjects including representation theory and algebraic topology. This meeting was the fifth in a series that has emphasized the interactions of group ...

    • 0827a - Computational Algebraic Topology 

      [OWR-2008-29] (2008) - (29 Jun - 05 Jul 2008)
      Computational algebraic topology is a dynamic field of mathematics, which has close connections to the classical algebraic topology, combinatorial algebraic topology, theory of algorithms, as well as an abundance of ...

    • 1542 - Computational Geometric and Algebraic Topology 

      [OWR-2015-45] (2015) - (11 Oct - 17 Oct 2015)
      Computational topology is a young, emerging field of mathematics that seeks out practical algorithmic methods for solving complex and fundamental problems in geometry and topology. It draws on a wide variety of techniques ...

    • Definable orthogonality classes in accessible categories are small 

      [OWP-2011-14] Bagaria, Joan; Casacuberta, Carles; Mathias, Adrian R. D.; Rosický, Jiří (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-15)
      We lower substantially the strength of the assumptions needed for the validity of certain results in category theory and homotopy theory which were known to follow from Vopenka's principle. We prove that the necessary ...

    • Embedding Spaces of Split Links 

      [OWP-2022-13] Boyd, Rachael; Bregman, Corey (Mathematisches Forschungsinstitut Oberwolfach, 2022-08-01)
      We study the homotopy type of the space $\mathcal{E}(L)$ of unparametrised embeddings of a split link $L=L_1\sqcup \ldots \sqcup L_n$ in $\mathbb{R}^3$. Inspired by work of Brendle and Hatcher, we introduce a semi-simplicial ...

    • 1619 - Factorization Algebras and Functorial Field Theories 

      [OWR-2016-25] (2016) - (08 May - 14 May 2016)
      Factorization algebras are a new mathematical approach to quantum field theory. They are related to functorial field theories, another approach to quantum field theory. Factorization algebras also figure in current research ...

    • 1506 - Geometric and Algebraic Combinatorics 

      [OWR-2015-5] (2015) - (01 Feb - 07 Feb 2015)
      The 2015 Oberwolfach meeting “Geometric and Algebraic Combinatorics” was organized by Gil Kalai (Jerusalem), Isabella Novik (Seattle), Francisco Santos (Santander), and Volkmar Welker (Marburg). It covered a wide variety ...

    • 1504 - Geometric Topology 

      [OWR-2015-3] (2015) - (18 Jan - 24 Jan 2015)
      Geometric topology has seen significant advances in the understanding and application of infinite symmetries and of the principles behind them. On the one hand, for advances in (geometric) group theory, tools from algebraic ...