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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

  • 22 marca 2023 17:15
    JONATHAN M. ROSENBERG (University of Maryland, USA)
    NONCOMMUTATIVE GEOMETRY AND DUALITY OF ORIENTIFOLD FIELD THEORIES
    An important phenomenon in modern physics is that, often, very different field theories give rise to identical physical predictions. This is what physicists usually call “duality”, though it does not always agree with the mathematical …

  • 15 marca 2023 17:15
    ILYA SHAPIRO (University of Windsor, Canada)
    CYCLIC HOMOLOGY, COEFFICIENTS, AND LIMITS
    Classically, coefficients for Hopf-cyclic homology were defined as objects that are both a module and a comodule with a compatibility between the two structures. This definition has been generalized to different settings with various levels …

  • 8 marca 2023 17:15
    MAYUKO YAMASHITA (RIMS, Kyoto University, Japan)
    TOPOLOGICAL MODULAR FORMS AND VANISHING OF HETEROTIC ANOMALY
    In this talk, based on my work with Yuji Tachikawa, I will explain how to use algebraic topology to solve the physical problem of vanishing anomalies in heterotic string theories. We translate this physical problem …

  • 1 marca 2023 17:15
    ARUP KUMAR PAL (Indian Statistical Institute, Delhi Centre, India)
    CRYSTALLIZATION OF THE C*-ALGEBRA C(SUq(n+1))
    We will explain how to obtain the crystal limit of the C*-algebra of continuous functions on the quantum SU(n+1) group as a C*-algebra given by generators and relations. These relations are derived by looking at …

  • 22 lutego 2023 17:15
    TOMASZ MASZCZYK (University of Warsaw, Poland)
    HOCHSCHILD COHOMOLOGY FOR ABSTRACT CONVEXITY AND SHANNON ENTROPY
    The Shannon entropy was introduced as a statistical measure of information loss but appeared in other fields of mathematics as well. We plan to sketch its relations with polylogarithms and motives after Cathelineau, Dupont, Bloch, …

  • 25 stycznia 2023 17:15
    Piotr M. Hajac (IMPAN)
    THE COVARIANT FUNCTORIALITY OF GRAPH ALGEBRAS
    In the standard category of directed graphs, morphisms respect the lengths of paths. However, this requirement is way too strong to present natural *-homomorphisms between graph C*-algebras as covariantly induced from morphisms of graphs, so …

  • 18 stycznia 2023 17:15
    HUA WANG (IMPAN)
    CONSTRUCTIONS OF QUANTUM GROUPS WITH THE RAPID DECAY PROPERTY
    Starting with Haagerup's seminal work, the rapid decay (RD) property was systematically studied by Jolissaint for discrete groups, and later by Vergnioux, in the setting of discrete quantum groups. Through the work of many hands, …

  • 11 stycznia 2023 17:15
    AHMAD REZA HAJ SAEEDI SADEGH (Northeastern University)
    DEFORMATION SPACES, GETZLER'S RESCALING, AND AN EQUIVARIANT INDEX THEOREM FOR LIE GROUPOIDS
    In recent work, Higson and Yi developed a new perspective on Getzler's symbol calculus, reinterpreting the latter in terms of a convolution algebra of sections of the rescaled bundle over the tangent groupoid of a spin manifold. …

  • 21 grudnia 2022 17:15
    MARIUSZ TOBOLSKI (Uniwersytet Wrocławski)
    THE CONTRAVARIANT FUNCTORIALITY OF GRAPH ALGEBRAS
    We introduce a subcategory of directed graphs for which the construction of Leavitt path algebras induces a contravariant functor into the category of algebras. Then we prove a theorem stating under which conditions this functor …

  • 14 grudnia 2022 17:15
    JACEK KRAJCZOK (University of Glasgow)
    APPROXIMATION PROPERTIES FOR LOCALLY COMPACT QUANTUM GROUPS
    One of the most widely studied properties of groups is the notion of amenability. In one of its many formulations, it gives us a way of approximating constant functions by functions in the Fourier algebra. …

  • 7 grudnia 2022 17:15
    JACK SPIELBERG (Arizona State University)
    RELATIVE GRAPHS AND PULLBACKS OF RELATIVE TOEPLITZ GRAPH ALGEBRAS
    We generalize a result from a recent paper of Hajac, Reznikoff and Tobolski. In that paper they give conditions they call "admissibility" on a pushout diagram in the category of directed graphs implying that the …

  • 30 listopada 2022 17:15
    MATTHIAS SCHÖTZ (IMPAN)
    GELFAND-NAIMARK THEOREMS OF ORDERED *-ALGEBRAS
    Ordered *-algebras (i.e. unital *-algebras endowed with a quadratic module of "positive" elements) provide an abstraction of *-algebras of possibly unbounded operators on Hilbert, or pre-Hilbert, spaces. In this sense, they are generalizations of C*-algebras …

  • 23 listopada 2022 17:15
    MARC A. RIEFFEL (UC Berkeley)
    CONVERGENCE OF FOURIER TRUNCATIONS
    We generalize the Fejer-Riesz operator systems defined for the circle group by Connes and van Suijlekom to the setting of compact matrix quantum groups and their ergodic actions on C*-algebras. These truncations form filtrations of …

  • 16 listopada 2022 17:15
    LUDWIK DĄBROWSKI (SISSA)
    SPECTRAL METRIC AND EINSTEIN FUNCTIONALS
    Using the Wodzicki residue, in terms of the Laplace operator, we define two bilinear functionals on vector fields. Their densities yield, respectively, the metric tensor and the Einstein tensor on an even-dimensional Riemannian manifold. Then, in terms of the Dirac …

  • 9 listopada 2022 17:15
    BRAM MESLAND (Universiteit Leiden)
    CURVATURE FOR DIFFERENTIABLE HILBERT MODULES
    In this talk, we introduce the curvature of densely defined universal connections on Hilbert C*-modules, relative to a spectral triple, leading to a well defined curvature operator. Algebraically, this curvature can be interpreted as the …