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Wydział Matematyki, Informatyki i Mechaniki Uniwersytetu Warszawskiego

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North Atlantic Noncommutative Geometry Seminar

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

Zoom platform link: https://us02web.zoom.us/j/83662713532?pwd=MFpVS1NlQkt4THVtMGdYNTR2Ym93UT09

Meeting ID: 836 6271 3532 Passcode: 764579


Prowadzący

  • Paul F. Baum
  • Francesco D'Andrea
  • Ludwik Dąbrowski
  • Søren Eilers
  • Piotr M. Hajac
  • Frédéric Latrémolière
  • Ryszard Nest
  • Marc A. Rieffel
  • Wojciech Szymański

Sala

Lista referatów

  • 2021-12-08, godz. 17:15, ZOOM

    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 the CW-complex that would play a similar role in noncommutative topology. From some q...

  • 2021-12-01, godz. 17:15, ZOOM

    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 associated C*-algebra and, in the case of subhomogeneous C*-algebras, the two dimensions agree. For se...

  • 2021-11-24, godz. 17:15, zoom

    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 construct a universal operator system inside this C*-algebra, and unravel its ...

  • 2021-11-17, godz. 17:15, zoom

    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 introducing the local-triviality condition to the nonco...

  • 2021-11-10, godz. 17:15, zoom

    FRANCESCA ARICI (Universiteit Leiden)

    SPLIT EXTENSIONS AND KK-EQUIVALENCES FOR QUANTUM PROJECTIVE SPACES

    In this talk, I will describe a construction of an explicit KK-equivalence between the noncommutative C*-algebras of continuous functions on the Vaksman-Soibelman quantum complex projective spaces and their commutative counterparts. The construction relies on general results about KK-equivalences, a...

  • 2021-11-03, godz. 17:15, zoom

    ANDREAS KRAFT (IMPAN)

    FIRST STEPS TOWARDS [FORMALITY, REDUCTION]=0?

    One open question in deformation quantization is its compatibility with reduction in the case of Poisson manifolds. In this talk, we propose a way to study this compatibility by investigating the commutativity of a diagram of certain L-infinity-morphisms. On the classical side, one considers the cur...

  • 2021-10-27, godz. 17:15, zoom

    SUGATO MUKHOPADHYAY (IMPAN)

    LEVI-CIVITA CONNECTIONS ON TAME DIFFERENTIAL CALCULI

    The notion of tame spectral triples and that of Levi-Civita connections defined on them will be presented. We will discuss a result on the existence and uniqueness of these Levi-Civita connections, along with examples at our disposal. We will conclude with a report of further developments on a class...

  • 2021-10-20, godz. 17:15, zoom

    ANDRZEJ SITARZ (Uniwersytet Jagielloński)

    SPECTRAL TRIPLES WITH NON-PRODUCT DIRAC OPERATORS

    Models of noncommutative geometry that are beyond the usual almost-commutative framework that assumes product metrics may lead to interesting physical theories in  both particle physics and gravity. In the former, they allow a description of the Standard Model without the fermion doubling, wi...

  • 2021-10-13, godz. 17:15, zoom

    TOMASZ MASZCZYK (University of Warsaw)

    INERTIAL HOPF-CYCLIC HOMOLOGY

    We construct, study and apply a characteristic map from the relative periodic cyclic homology of the quotient map for agroup action to the periodic Hopf-cyclic homology with coefficients associated with the inertia of the action. This characteristic map comes from its noncommutative-geometric, or qu...

  • 2021-10-06, godz. 17:15, zoom

    MASOUD KHALKHALI (Western University)

    BOOTSTRAPPING DIRAC ENSEMBLES

    It is always interesting to find connections between NCG and other central areas of mathematics. Recent work gradually unravels deep connections between NCG and random matrix theory. In this talk, I shall explain certain techniques we have employed so far. In some cases, one can apply the Co...

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