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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

  • 2021-10-06, 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...

  • 2021-06-09, godz. 17:15, zoom

    NIGEL HIGSON (Pennsylvania State University)

    THE OKA PRINCIPLE AND A K-THEORETIC PERSPECTIVE ON THE LANGLANDS CLASSIFICATION

    The Oka principle in complex geometry asserts that continuous structures in a variety of contexts, including vector bundles on polynomially convex sets, carry unique holomorphic structures, up to isomorphism.  The Oka principle fits naturally into K-theory, and it has long been proposed as a me...

  • 2021-06-02, godz. 17:15,

    ALAIN CONNES (IHÉS / Collège de France)

    SPECTRAL TRIPLES AND ZETA-CYCLES

    This is joint work with C. Consani. When contemplating the low lying zeros of the Riemann zeta function one is tempted to speculate that they may form the spectrum of an operator of the form 1/2+iD with D self-adjoint, and to search for the geometry provided by a spectral triple for w...

  • 2021-05-26, godz. 17:15,

    ADAM M. MAGEE (SISSA)

    RECENT PROGRESS IN TWISTED REAL STRUCTURES FOR SPECTRAL TRIPLES

    Within the approach to NCG based on Connes' spectral triples, real spectral triples, where the addition of a so-called real structure allows the differentiation between spin^c and spin structures and refines the K-homology, are of parti...

  • 2021-05-19, godz. 17:15,

    ALEXANDER GOROKHOVSKY (University of Colorado Boulder)

    THE HEISENBERG CALCULUS AND CYCLIC COHOMOLOGY

    On a compact contact manifold, a pseudodifferential operator in the Heisenberg calculus with an invertible symbol is a hypoelliptic Fredholm operator. The index theory of Heisenberg elliptic operators has been extensively investigated from various perspectives. In this talk,...

  • 2021-05-12, godz. 17:15,

    LAURA MANČINSKA (Københavns Universitet)

    QUANTUM ENTANGLEMENT, GAMES, AND GRAPH ISOMORPHISMS

    Entanglement is one of the key features of quantum mechanics. We will see that nonlocal games provide a mathematical framework for studying entanglement and the advantage that it can offer. We will then take a closer look at graph-isomorphism games&nbs...

  • 2021-05-05, godz. 17:15,

    GUOLIANG YU (Texas A&M University)

    QUANTITATIVE K-THEORY, K-HOMOLOGY AND THEIR APPLICATIONS

    I will give an introduction to quantitative K-theory, K-homology and their applications. In particular, I will discuss my recent joint work with Rufus Willett on the universal coefficient theorem for nuclear C*-algebras. If time allows, I will also talk about other rece...

  • 2021-04-28, godz. 17:15,

    JACK SPIELBERG (Arizona State University)

    AF ALGEBRAS ASSOCIATED TO ORIENTED COMBINATORIAL DATA

    One of the remarkable features of the construction of C*-algebras from directed graphs is the characterization of approximate finite dimensionality: the C*-algebra is AF if and only if the graph has no directed cycle. This construction has been generalized to other classes of ori...

  • 2021-04-21, godz. 17:15,

    MAGNUS GOFFENG (Lunds Universitet)

    UNTWISTING SPECTRAL TRIPLES

    Connes and Moscovici introduced twisted spectral triples over a decade ago as a way of extending spectral noncommutative geometry of finite spectral dimension to situations where no finitely summable spectral triples exist. While there are attractive...

  • 2021-04-14, godz. 17:15,

    KONRAD AGUILAR (Pomona College)

    BUNCE-DEDDENS ALGEBRAS AS QUANTUM-GROMOV-HAUSDORFF-DISTANCE LIMITS OF CIRCLE ALGEBRAS

    We show that Bunce-Deddens algebras, which are AT-algebras, are also limits of circle algebras for Rieffel's quantum Gromov-Hausdorff distance, and moreover, form a continuous family indexed by the Baire space. To this end, we endow Bunce-De...

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