• 1406b - Dirichlet Series and Function Theory in Polydiscs 

      [OWR-2014-6] (2014) - (02 Feb - 08 Feb 2014)
      The interaction between Dirichlet series and function theory in polydiscs dates back to a fundamental insight of Harald Bohr and the subsequent groundbreaking work on multilinear forms and polarization by Bohnenblust and ...
    • 1524 - Free Probability Theory 

      [OWR-2015-28] (2015) - (07 Jun - 13 Jun 2015)
      The workshop brought together leading experts, as well as promising young researchers, in areas related to recent developments in free probability theory. Some particular emphasis was on the relation of free probability ...
    • 1849 - Free Probability Theory 

      [OWR-2018-53] (2018) - (02 Dec - 08 Dec 2018)
      The workhop brought together leading experts, as well as promising young researchers, in areas related to recent developments in free probability theory. Some particular emphasis was on the relation of free probability ...
    • 0513 - Free Probability Theory 

      [OWR-2005-15] (2005) - (27 Mar - 02 Apr 2005)
      Free probability theory is a line of research which parallels aspects of classical probability, in a non-commutative context where tensor products are replaced by free products, and independent random variables are replaced ...
    • A Function Algebra Providing New Mergelyan Type Theorems in Several Complex Variables 

      [OWP-2019-02] Falcó, Javier; Gauthier, Paul Montpetit; Manolaki, Myrto; Nestoridis, Vassili (Mathematisches Forschungsinstitut Oberwolfach, 2019-02-11)
      For compact sets $K\subset \mathbb C^{d}$, we introduce a subalgebra $A_{D}(K)$ of $A(K)$, which allows us to obtain Mergelyan type theorems for products of planar compact sets as well as for graphs of functions.
    • 2140b - Geometry and Optimization in Quantum Information (hybrid meeting) 

      [OWR-2021-49] (2021) - (03 Oct - 09 Oct 2021)
      Quantum information theory seeks to understand the fundamental limits set by quantum mechanics for information processing tasks. The mathematical aspects of quantum information rely on tools from various fields including ...
    • 2101b - Geometry, Dynamics and Spectrum of Operators on Discrete Spaces (online meeting) 

      [OWR-2021-2] (2021) - (03 Jan - 09 Jan 2021)
      Spectral theory is a gateway to fundamental insights in geometry and mathematical physics. In recent years the study of spectral problems in discrete spaces has gained enormous momentum. While there are some relations to ...
    • Groups with Spanier-Whitehead Duality 

      [OWP-2019-23] Nishikawa, Shintaro; Proietti, Valerio (Mathematisches Forschungsinstitut Oberwolfach, 2019-09-17)
      We introduce the notion of Spanier-Whitehead $K$-duality for a discrete group $G$, defined as duality in the KK-category between two $C*$-algebras which are naturally attached to the group, namely the reduced group ...
    • 1949 - Groups, Dynamics, and Approximation 

      [OWR-2019-55] (2019) - (01 Dec - 07 Dec 2019)
      The workshop covered a wide range of topics, with emphasis on Geometric Group Theory, Ergodic Theory and links with Functional Analysis on the one hand and Mathematical Logic on the other. The goal of the workshop was to ...
    • 1648 - Heat Kernels, Stochastic Processes and Functional Inequalities 

      [OWR-2016-55] (2016) - (27 Nov - 03 Dec 2016)
      The general topic of the 2016 workshop Heat kernels, stochastic processes and functional inequalities was the study of linear and non-linear diffusions in geometric environments including smooth manifolds, fractals and ...
    • 0548 - Heat Kernels, Stochastic Processes and Functional Inequalities 

      [OWR-2005-54] (2005) - (27 Nov - 03 Dec 2005)
      The conference brought together mathematicians belonging to several fields, essentially analysis, probability and geometry. One of the main unifying topics was certainly the study of heat kernels in various contexts: ...
    • 1417 - Hilbert Modules and Complex Geometry 

      [OWR-2014-21] (2014) - (20 Apr - 26 Apr 2014)
      The major topics discussed in the workshop were Hilbert modules of analytic functions on domains in Cn, Toeplitz and Hankel operators, reproducing kernel Hilbert spaces and multiplier algebras, the interplay of complex ...
    • 0915b - Hilbert Modules and Complex Geometry 

      [OWR-2009-20] (2009) - (05 Apr - 11 Apr 2009)
      The major topics discussed in this workshop were Hilbert modules of analytic functions on domains in ℂn, Toeplitz and Hankel operators, the interplay of commutative algebra, complex analytic geometry and multivariable ...
    • Homology and $K$-Theory of Torsion-Free Ample Groupoids and Smale Spaces 

      [OWP-2020-20] Proietti, Valerio; Yamashita, Makoto (Mathematisches Forschungsinstitut Oberwolfach, 2020-10-09)
      Given an ample groupoid, we construct a spectral sequence with groupoid homology with integer coefficients on the second sheet, converging to the $K$-groups of the groupoid C*-algebra when the groupoid has torsion-free ...
    • Infeasibility certificates for linear matrix inequalities 

      [OWP-2011-28] Klep, Igor; Schweighofer, Markus (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-25)
      Farkas' lemma is a fundamental result from linear programming providing linear certi cates for infeasibility of systems of linear inequalities. In semidefinite programming, such linear certificates only exist for strongly ...
    • 1936 - Innovative Approaches to the Numerical Approximation of PDEs 

      [OWR-2019-40] (2019) - (01 Sep - 07 Sep 2019)
      This workshop was about the numerical solution of PDEs for which classical approaches, such as the finite element method, are not well suited or need further (theoretical) underpinnings. A prominent example of PDEs for ...
    • 1819 - Interactions between Operator Space Theory and Quantum Probability with Applications to Quantum Information 

      [OWR-2018-22] (2018) - (06 May - 12 May 2018)
      Operator space theory was the joining element of our workshop. This theory is a quantisation of the theory of Banach spaces. The talks at our meeting investigated the interactions of operator space theory with operator ...
    • 0651 - Konvexgeometrie 

      [OWR-2006-56] (2006) - (17 Dec - 23 Dec 2006)
      The geometry of convex domains in Euclidean space plays a central role in several branches of mathematics: functional and harmonic analysis, the theory of PDE, linear programming and, increasingly, in the study of other ...
    • 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 ...
    • 2212a - MFO-RIMS Tandem Workshop: Nonlocality in Analysis, Probability and Statistics 

      [OWR-2022-15] (2022) - (20 Mar - 26 Mar 2022)
      The central theme of the workshop were nonlocal operators which appear in various branches of mathematics (PDEs, fractional calculus, stochastic processes, statistics). Although the basic concepts are similar, both language ...