• 1947 - Heat Kernels, Stochastic Processes and Functional Inequalities 

      [OWR-2019-54] (2019) - (17 Nov - 23 Nov 2019)
      The aims of the 2019 workshop 'Heat Kernels, Stochastic Processes and Functional Inequalities' were: (a) to provide a forum to review recent progresses in a wide array of areas of analysis (elliptic, subelliptic and ...
    • 1338b - High-Resolution Mathematical and Numerical Analysis of Involution-Constrained PDEs 

      [OWR-2013-47] (2013) - (15 Sep - 21 Sep 2013)
      Partial differential equations constrained by involutions provide the highest fidelity mathematical models for a large number of complex physical systems of fundamental interest in critical scientific and technological ...
    • Hight functions on quaternionic Stiefel manifolds 

      [OWP-2015-10] Macías-Virgós, Enrique; Strom, Jeffrey; Tanré, Daniel; Oprea, John (Mathematisches Forschungsinstitut Oberwolfach, 2015-07-29)
      In this note, we study height functions on quaternionic Stiefel manifolds and prove that all these height functions are Morse-Bott. Among them, we characterize the Morse functions and give a lower bound for their number ...
    • 2225 - Hilbert Complexes: Analysis, Applications, and Discretizations 

      [OWR-2022-29] (2022) - (19 Jun - 25 Jun 2022)
      In this workshop 70 (43 at MFO, 27 online) leading mathematicians from Europe, United States, China, and Australia met at the MFO to discuss and present new developments in the mathematical and numerical analysis including ...
    • 2321 - Hypoelliptic Operators in Geometry 

      [OWR-2023-24] (2023) - (21 May - 26 May 2023)
      The workshop titled "Hypoelliptic Operators in Geometry" was coorganized by Davide Barilari (Padova), Xiaonan Ma (Paris), Nikhil Savale (Köln) and Yi Wang (Baltimore). It was well attended by 55 participants, with 45 of ...
    • Lifting Spectral Triples to Noncommutative Principal Bundles 

      [OWP-2021-02] Schwieger, Kay; Wagner, Stefan (Mathematisches Forschungsinstitut Oberwolfach, 2021-01-11)
      Given a free action of a compact Lie group $G$ on a unital C*-algebra $\mathcal{A}$ and a spectral triple on the corresponding fixed point algebra $\mathcal{A}^G$, we present a systematic and in-depth construction of ...
    • 2007 - Manifolds and Groups 

      [OWR-2020-7] (2020) - (09 Feb - 15 Feb 2020)
      The workshop concentrated on the interplay of advances in the understanding of manifolds and geometric group theory. In particular, we discussed mapping class groups and moduli spaces of manifolds (also of high ...
    • Milnor fibre homology via deformation 

      [OWP-2015-22] Siersma, Dirk; Tibăr, Mihai-Marius (Mathematisches Forschungsinstitut Oberwolfach, 2015)
      In case of one-dimensional singular locus, we use deformations in order toget refined information about the Betti numbers of the Milnor fibre.
    • 2149a - Mini-Workshop: (Anosov)$^3$ (hybrid meeting) 

      [OWR-2021-56] (2021) - (05 Dec - 11 Dec 2021)
      Three different active fields are subsumed under the keyword Anosov theory: Spectral theory of Anosov flows, dynamical rigidity of Anosov actions, and Anosov representations. In all three fields there have been dynamic ...
    • 2248b - Mini-Workshop: A Geometric Fairytale full of Spectral Gaps and Random Fruit 

      [OWR-2022-53] (2022) - (27 Nov - 03 Dec 2022)
      In many situations, most prominently in quantum mechanics, it is important to understand well the eigenvalues and associated eigenfunctions of certain self-adjoint differential operators. The goal of this workshop was ...
    • 2041c - Mini-Workshop: Almost Complex Geometry (online meeting) 

      [OWR-2020-33] (2020) - (04 Oct - 10 Oct 2020)
      The mini-workshop focused on very recent developments of analytic and algebraic techniques for studying almost complex structures which are not necessarily integrable. It provided a forum to discuss and compare techniques ...
    • 1440a - Mini-Workshop: Asymptotic Statistics on Stratified Spaces 

      [OWR-2014-44] (2014) - (28 Sep - 04 Oct 2014)
      Statistical analysis of non-Euclidean data such as data on manifolds is an active and established topic of research, for instance, in the statistical analysis of shape. However, many types of data naturally reside in metric ...
    • 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 ...
    • 0648c - Mini-Workshop: Dirac Operators in Differential and Noncommutative Geometry 

      [OWR-2006-53] (2006) - (26 Nov - 02 Dec 2006)
      Abstract. This mini-workshop brought together mathematicians and physicists working either on classical or on noncommutative differential geometry. Our aim was to show current interests, methods and results within each ...
    • 1215c - Mini-Workshop: Endomorphisms, Semigroups and C*-Algebras of Rings 

      [OWR-2012-20] (2012) - (08 Apr - 14 Apr 2012)
      The main aim of the workshop was to explore recent progress in the study of endomorphisms of $C*$-algebras, semigroup crossed products, graph algebras, ring $C*$-algebras, purely infinite $C*$-algebras and related algebraic ...
    • 1240a - Mini-Workshop: Nichols Algebras and Weyl Groupoids 

      [OWR-2012-47] (2012) - (30 Sep - 06 Oct 2012)
      Nichols algebras are graded braided Hopf algebras satisfying a universal property. Many structural results of a Nichols algebra can be obtained by studying itsWeyl groupoid and its homology. In the mini-workshop, introductions ...
    • 2048c - Mini-Workshop: Nonlocal Analysis and the Geometry of Embeddings (hybrid meeting) 

      [OWR-2020-37] (2020) - (22 Nov - 28 Nov 2020)
      Both self-avoidance and self-contact of geometric objects can be modeled using repulsive energies that separate isotopy classes. Giving rise to nonlocal operators, they are interesting objects in their own right. Moreover, ...
    • 1606a - Mini-Workshop: Operator Spaces and Noncommutative Geometry in Interaction 

      [OWR-2016-6] (2016) - (07 Feb - 13 Feb 2016)
      In recent years, operator space theory has made remarkable appearances in noncommutative geometry, notably in the study of $C^*$-algebras of real reductive groups and the unbounded picture of Kasparov theory. In both these ...
    • 1915a - Mini-Workshop: Recent Progress in Path Integration on Graphs and Manifolds 

      [OWR-2019-16] (2019) - (07 Apr - 13 Apr 2019)
      Ever since Richard Feynman's PhD thesis, path integrals have played a decisive role in mathematical physics. While it is well-known that such formulae can hold only formally, it was Mark Kac who realized that by replacing ...
    • 1941c - Mini-Workshop: Self-adjoint Extensions in New Settings 

      [OWR-2019-47] (2019) - (06 Oct - 12 Oct 2019)
      The main focus of the workshop is on the analysis of boundary value problems for differential and difference operators in some non-classical geometric settings, such as fractal graphs, sub-Riemannian manifolds or non-elliptic ...