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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

  • 2 listopada 2022 17:15
    SØREN EILERS (Københavns Universitet)
    EQUIVARIANT ISOMORPHISMS OF QUANTUM LENS SPACES
    Since their inception two decades ago, the quantum lens spaces of Hong and Szymański have been studied very successfully, due in no small part to the fact — established from the outset — that they …

  • 26 października 2022 17:15
    PIOTR M. HAJAC (IMPAN)
    COUNTING PATHS IN DIRECTED GRAPHS
    We consider the class of directed graphs with N edges and without loops shorter than k. Using the concept of a labelled graph and a recent result of Alexandru Chirvasitu, I will show how to determine graphs from …

  • 19 października 2022 17:15
    ALEXANDRU CHIRVASITU (SUNY Buffalo)
    CENTERS AS UNIVERSAL GRADING GROUPS OF REPRESENTATION CATEGORIES
    It is a result of Müger that, for a compact group G, associating to every irreducible G-representation its central character identifies the Pontryagin dual of the center Z(G) with the universal group that, in a certain sense, labels the grading of the …

  • 12 października 2022 17:15
    FRANCESCO D'ANDREA (Università degli Studi di Napoli Federico II)
    THE CONVOLUTION ALGEBRA OF A TOLERANCE RELATION
    It is well known that a "bad" quotient space can be studied by associating to it the groupoid C*-algebra of its defining equivalence relation. A similar procedure for relations that are reflexive and symmetric but fail to be transitive leads to …

  • 5 października 2022 17:15
    MARIUSZ TOBOLSKI (Uniwersytet Wrocławski)
    THE STONE-VON NEUMANN THEOREM FOR LOCALLY COMPACT QUANTUM GROUPS
    The Stone-von Neumann theorem rigorously shows the equivalence between two fundamental approaches to quantum mechanics, notably, the matrix mechanics of Heisenberg and the wave mechanics of Schrödinger. This theorem was formulated by Mackey as a …

  • 15 czerwca 2022 17:15
    HENRI MOSCOVICI (Ohio State University)
    PROLATE SERENDIPITY AND THE ZEROS OF ZETA
    This talk is about the joint work with Alain Connes in which we display an isospectral family of Dirac-type operators whose ultraviolet spectrum matches remarkably well the zeros of the Riemann zeta function.

  • 8 czerwca 2022 17:15
    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 …

  • 1 czerwca 2022 17:15
    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 …

  • 25 maja 2022 17:15
    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 …

  • 18 maja 2022 17:15
    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 …

  • 11 maja 2022 17:15
    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 …

  • 4 maja 2022 17:15
    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 …

  • 27 kwietnia 2022 17:15
    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 …

  • 20 kwietnia 2022 17:15
    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 …

  • 13 kwietnia 2022 17:15
    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 …