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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

  • 2022-06-08, godz. 17:15, ZOOM

    PAULO CARRILLO ROUSE (Université Paul Sabatier, Toulouse III)

    A DEFORMATION-GROUPOID APPROACH TO THE BAUM-CONNES ASSEMBLY MAP

    In a recent preprint, together with Bai-Ling Wang and Hang Wang, following the ideas of Connes and Moscovici, we give an explicit formula (in terms of a pairing of forms and currents) for the pairing of the left-hand side of the BC map of a discrete group and the periodic cyclic cohomology of the gr...

  • 2022-06-01, godz. 17:15, ZOOM

    ELMAR SCHROHE (Leibniz Universität Hannover))

    ORDER PRESERVING AUTOMORPHISMS OF SHUBIN TYPE PSEUDODIFFERENTIAL OPERATORS

    We consider the algebra of all classical Shubin type pseudodifferential operators on Euclidean space. Following up on a remarkable result of Duistermaat and Singer (Comm. Pure Appl. Math. XXVIV:39-47, 1976) for the case of the usual pseudodifferential operators, we determine its order preserving aut...

  • 2022-05-25, godz. 17:15, ZOOM

    EVGENIOS T. A. KAKARIADIS (Newcastle University)

    MORITA EQUIVALENCE FOR OPERATOR SYSTEMS

    In ring theory, Morita equivalence preserves many properties of the objects, and generalizes the isomorphism equivalence between commutative rings. A strong Morita equivalence for selfadjoint operator algebras was introduced by Rieffel in the 60s, and works as a correspondence between their represen...

  • 2022-05-18, godz. 17:15, ZOOM

    JENS KAAD (Syddansk Universitet)

    GROUP COCYCLES ON LOOP GROUPS

    In this talk, we start out by reviewing the construction of central extensions of smooth loop groups and their relationship to the tame symbol of a pair of meromorphic functions on a Riemann surface. Our goal is then to introduce higher central extensions of smooth double loop groups. In this proces...

  • 2022-05-11, godz. 17:15, ZOOM

    DAVID KYED (Syddansk Universitet)

    THE NON-COMMUTATIVE METRIC GEOMETRY OF QUANTUM SU(2)

    Rieffel's theory of compact quantum metric spaces provides an elegant non-commutative extension of the classical theory of compact metric spaces that is well aligned with Connes' non-commutative geometry. Recently, the quantum metric structure of q-deformed spaces has begun to unravel. In my...

  • 2022-05-04, godz. 17:15, ZOOM

    MAXIM KONTSEVICH (IHÉS)

    ON PERIODS OF NONCOMMUTATIVE ALGEBRAS

    Connes' theory of integration says that a finitely summable Fredholm module defines a linear functional on periodic cyclic homology of an algebra defined over a subfield of complex numbers. Let us assume that the algebra is defined over rational numbers. Then one can show that, in this way, one ...

  • 2022-04-27, godz. 17:15, ZOOM

    WOJCIECH SZYMAŃSKI (Syddansk Universitet)

    ON THE CONJUGACY OF MASAS IN GRAPH C*-ALGEBRAS

    We discuss the problem of conjugacy of MASAs in (purely infinite) graph C*-algebras. The main question we are interested in is inner versus outer conjugacy. To attack this problem, we employ a certain technique motivated by von Neumann algebra considerations. We illustrate it with some technically n...

  • 2022-04-20, godz. 17:15, zoom

    PAULO CARRILLO ROUSE (Université Paul Sabatier, Toulouse III)

    AN NCG APPROACH TO INDEX THEORY FOR MANIFOLDS WITH CORNERS

    In this talk, I will review my joint work (published and on going) with Jean-Marie Lescure and Mario Velasquez, where we use groupoid and NCG techniques to study some problems in geometric analysis on manifolds with corners. In particular, I will review some K-theory computations (of the algebras of...

  • 2022-04-13, godz. 17:15, zoom

    JOACHIM CUNTZ (Universität Münster)

    THE IMAGE OF BOTT PERIODICITY IN CYCLIC HOMOLOGY

    We analyze the relationship between Bott periodicity in K-theory and the natural periodicity of cyclic homology. This is a basis for understanding the multiplicativity, in odd dimensions, of a bivariant Chern-Connes character from K-theory to cyclic theory. ...

  • 2022-04-06, godz. 17:15, zoom

    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 hand, we consider metric spaces up to finite resolution. In our approach, the tr...

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