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North Atlantic Noncommutative Geometry Seminar

Link do kanału youtube: https://www.youtube.com/channel/UCnHfrrAKk9Jaaw8oC2s_dSQ

Zoom platform link: https://uw-edu-pl.zoom.us/j/95105055663?pwd=TTIvVkxmMndhaHpqMFUrdm8xbzlHdz09

Meeting ID: 951 0505 5663 Passcode: 924338


Organizatorzy

Lista referatów

  • 6 kwietnia 2022 17:15
    WALTER VAN SUIJLEKOM (Radboud Universiteit)
    NONCOMMUTATIVE SPACES AT FINITE RESOLUTION
    We extend the traditional framework of noncommutative geometry in order to deal with two types of approximation of metric spaces. On the one hand, we consider spectral truncations of geometric spaces, while on the other …

  • 30 marca 2022 17:15
    ALESSANDRO CAROTENUTO (Univerzita Karlova)
    A BOREL-WEIL THEOREM FOR IRREDUCIBLE QUANTUM FLAG MANIFOLDS
    The Borel-Weil theorem is a fundamental result in (classical) geometric representation theory. It realizes each irreducible representation of a complex semisimple Lie algebra as the space of holomorphic sections over a flag manifold. I will …

  • 23 marca 2022 17:15
    RALF MEYER (Universität Göttingen)
    C*-ALGEBRAS DEFINED BY GROUPOID CORRESPONDENCES
    In this talk, I define correspondences between étale groupoids, and show that they contain topological graphs and self-similarities of groups and graphs as special cases. A correspondence between two groupoids induces a C*-correspondence between the …

  • 16 marca 2022 17:15
    XIANG TANG (Washington University in St. Louis)
    THE HELTON-HOWE TRACE, THE CONNES-CHERN CHARACTER, AND QUANTIZATION
    In the early 70s, Helton and Howe proved a beautiful formula for the trace of commutators of Toeplitz operators. In the 80s, Connes greatly generalized the Helton-Howe trace formula using cyclic cohomology. The Connes-Chern character contains …

  • 9 marca 2022 17:15
    RYSZARD NEST (Københavns Universitet)
    PROJECTIVE REPRESENTATION THEORY FOR COMPACT QUANTUM GROUPS AND THE BAUM-CONNES ASSEMBLY MAP
    We study the theory of projective representations for a compact quantum group G, i.e. actions of G on B(H) for some Hilbert space H. We show that any such projective representation is inner, and hence is induced by an Ω-twisted representation for …

  • 2 marca 2022 17:15
    YANG LIU (SISSA)
    CYCLIC STRUCTURE BEHIND THE MODULAR GAUSSIAN CURVATURE
    The modular Gaussian curvature on noncommutative two-tori introduced by Connes and Moscovici leads to a functional relation derived from its variational nature, which is a novel feature purely due to the noncommutativity. I will begin …

  • 26 stycznia 2022 17:15
    TOMASZ MASZCZYK (Uniwersytet Warszawski)
    THE MULTIPLICATIVE K-THEORY TYPE OF QUANTUM CW-COMPLEXES
    We enhance current noncommutative methods in topology to distinguish some very different classical homotopy types (e.g., a disconnected and a connected one) of finite CW-complexes, which cannot be distinguished using the Kasparov KK-theory. We achieve …

  • 19 stycznia 2022 17:15
    SOPHIE EMMA MIKKELSEN (Syddansk Universitet)
    ON THE CLASSIFICATION OF QUANTUM LENS SPACES
    There are many noncommutative deformations of classical spaces. For instance, the C*-algebras of quantum lens spaces can be defined as fixed-point subalgebras of the C*-algebras of Vaksman-Soibelman quantum spheres under actions of finite cyclic groups. …

  • 12 stycznia 2022 17:15
    BRAM MESLAND (Universiteit Leiden)
    NONCOMMUTATIVE RIEMANNIAN PRINCIPAL BUNDLES
    In this talk, I will present a notion of principal G-spectral triple, with G a compact Lie group, put forward in my joint work with B. Ćaćić (New Brunswick). Our notion connects the algebraic approach …

  • 22 grudnia 2021 17:15
    JONATHAN ROSENBERG (University of Maryland)
    POSITIVE SCALAR CURVATURE ON MANIFOLDS WITH BOUNDARY
    Since work of Gromov and Lawson around 1980, we have known (under favorable circumstances) necessary and sufficient conditions for a closed manifold to admit a Riemannian metric of positive scalar curvature, but not much was …

  • 15 grudnia 2021 17:15
    ADAM SIKORA (SUNY Buffalo)
    STATED SKEIN ALGEBRAS AND A GEOMETRIC APPROACH TO QUANTUM GROUPS
    We introduce the theory of stated SL(n)-skein algebras of surfaces, which provide a geometric/combinatorial interpretation for the quantum groups Oq(sl(n)) and other related notions from quantum algebra. They also quantize the SL(n)-character varieties of surfaces, are examples of quantum …

  • 8 grudnia 2021 17:15
    PIOTR M. HAJAC (IMPAN)
    THE K-THEORY TYPE OF QUANTUM CW-COMPLEXES
    The CW-complex structure of topological spaces not only reveals how they are built, but also is a natural tool to compute and unravel their K-theory. Therefore, it is desirable to define a noncommutative version of …

  • 1 grudnia 2021 17:15
    EDUARD VILALTA (Universitat Autònoma de Barcelona)
    COVERING DIMENSION FOR CUNTZ SEMIGROUPS
    In this talk, I will present a notion of covering dimension for Cuntz semigroups and give an overview of the results found thus far. This dimension is always bounded by the nuclear dimension of the …

  • 24 listopada 2021 17:15
    ARKADIUSZ BOCHNIAK (Uniwersytet Jagielloński)
    QUANTUM CORRELATIONS ON QUANTUM SPACES
    For given quantum spaces, we study the quantum space of maps between them. We prove that, under certain conditions, the C*-algebra of this quantum space enjoys the lifting property and is residually finite dimensional. We …

  • 17 listopada 2021 17:15
    MARIUSZ TOBOLSKI (Uniwersytet Wrocławski)
    NONCOMMUTATIVE PRINCIPAL BUNDLES: BEYOND THE COMPACT CASE
    The notion of a compact noncommutative (or quantum) principal bundle, which generalizes the Cartan compact principal bundle from topology (local triviality not assumed), emerged in the literature almost 30 years ago. Recently, the difficulty of …