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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

  • 2021-04-07, godz. 17:15,

    ANDRZEJ SITARZ (Uniwersytet Jagielloński)

    THE RIEMANNIAN GEOMETRY OF A DISCRETIZED CIRCLE AND TORUS

    Since the inception of noncommutative geometry, the generalization of Riemannian geometry to the noncommutative setup was a challenge. In this talk, we propose techniques that allow us to provide a complete classification of all linear connections for the minimal noncommutative d...

  • 2021-03-31, godz. 17:15,

    GUILLERMO CORTIÑAS (Universidad de Buenos Aires)

    LEAVITT PATH ALGEBRAS AND THE ALGEBRAIC KIRCHBERG-PHILLIPS PROBLEM

    The Kirchberg-Phillips theorem says that unital separable nuclear purely infinite simple C*-algebras in the UCT class are classified by their (topological, C*-algebraic) K-theory and, more generally, that any two separable nuclear purely infinite simple C*-algebras that are KK-is...

  • 2021-03-24, godz. 17:15,

    FRÉDÉRIC LATRÉMOLIÈRE (University of Denver)

    FINITE-DIMENSIONAL APPROXIMATIONS OF SPECTRAL TRIPLES ON QUANTUM TORI

    The asymptotic behavior of matrix models, as their dimension grows to infinity, is of common interest in mathematical physics. The formalization of the study of limits of finite-dimensional quantum spaces, endowed with some geometric structure, can be done within the larger framework ...

  • 2021-03-17, godz. 17:15,

    SERGEY NESHVEYEV (Universitetet i Oslo)

    QUANTIZATION OF COMPACT SYMMETRIC SPACES: TWO APPROACHES

    I will explain two ways of quantizing compact symmetric spaces. The first is due to Letzter and Kolb, giving explicit generators of the dual coideal. The second is essentially due to Enriquez and Etingof, and relies on cyclotomic Knizhnik-Zamolodchikov equations. Both a...

  • 2021-03-03, godz. 17:15,

    ADAM DOR-ON (Københavns Universitet)

    OPERATOR ALGEBRAS OF SUBPRODUCT SYSTEMS BY EXAMPLE

    In this talk, we will discuss subproduct systems as introduced by Shalit and Solel in 2009 following a definition given by Bhat and Mukherjee. Subproduct systems were originally defined for the purpose of classifying CP-semigroups, but they also give rise to natura...

  • 2021-01-27, godz. 17:15,

    SØREN EILERS (Københavns Universitet)

    A USER'S GUIDE TO THE CLASSIFICATION OF GRAPH C*-ALGEBRAS

    Graph C*-algebras (and their precursors, the Cuntz-Krieger algebras) are ubiquitous in modern C*-algebra theory and pop up regularly in noncommutative geometry and/or as models for quantum groups and spaces. In recent years, there has been significant progress concerning the ...

  • 2021-01-20, godz. 17:15,

    MORITZ WEBER (Universität des Saarlandes)

    QUANTUM SYMMETRIES OF GRAPHS

    We give an introduction to quantum automorphism groups of finite graphs, and then survey recent developments. Amongst others, we mention quantum permutation matrices, tools for detecting quantum symmetries of graphs, links with quantum informati...

  • 2021-01-13, godz. 17:15,

    TOMASZ BRZEZIŃSKI (Prifysgol Abertawe)

    ENTER TRUSS

    The talk introduces trusses, i.e. algebraic systems each consisting of a set with a ternary operation (making it into an abelian heap) and an associative binary operation distributing over the ternary one. We begin by explaining what heaps are and how they are related to groups. Next, we define...

  • 2020-12-16, godz. 17:15,

    WOJCIECH SZYMAŃSKI (Syddansk Universitet)

    ON NONCOMMUTATIVE FIBRE BUNDLES

    We discuss an algebraic framework for noncommutative fibre bundles with homogeneous spaces as typical fibres. We illustrate the general scheme with two examples, the flag manifold of the quantum SU(3) group and the quantum twistor bundle. Both examples are studied not only from t...

  • 2020-12-09, godz. 17:15,

    XIAO HAN (IMPAN)

    ON HOPF-GALOIS EXTENSIONS AND THE GAUGE GROUP OF GALOIS OBJECTS

    For starters, we will recall the fundamental concept of a Hopf-Galois extension, and instantiate it through quantum principal SU(2)-bundles with noncommutative seven-spheres as total spaces and noncommutative four-spheres as base spaces. Then we will recall the construction of the Ehresman...

Strony