Organizatorzy

dr hab. Tomasz Maszczyk

Lista referatów

7 kwietnia 2021 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 …
31 marca 2021 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-isomorphic are …
24 marca 2021 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 …
17 marca 2021 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. …
3 marca 2021 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 natural …
27 stycznia 2021 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 classification of graph C*-algebras by …
20 stycznia 2021 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 information theory, quantum isomorphisms of graphs, a quantum Lovász Theorem, and finally quantum symmetries of graph C*-algebras and of quantum-graph C*-algebras. https://www.youtube.com/watch?v=SPXYX-SCAHc
13 stycznia 2021 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 …
16 grudnia 2020 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 …
9 grudnia 2020 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 …
2 grudnia 2020 17:15
FRANCESCO D'ANDREA (Università degli Studi di Napoli Federico II)
ON THE NOTION OF A NONCOMMUTATIVE SUBMANIFOLD
T. Masson, motivated by the derivation-based differential calculus of M. Dubois-Violette and P. W. Michor, introduced in the 90's the notion of a submanifold algebra as a way to extend to the noncommutative realm the concept of a closed embedded submanifold of a …
25 listopada 2020 17:15
CHRISTIAN VOIGT (University of Glasgow)
QUANTUM CUNTZ-KRIEGER ALGEBRAS
The notion of a quantum graph, a concept going back to the work of Erdos-Katavolos-Shulman and Weaver, provides a noncommutative generalisation of finite graphs. Quantum graphs play an intriguing role in the analysis of quantum …
18 listopada 2020 17:15
ALEXANDER FREI (Københavns Universitet)
THE GAUGE-INVARIANT UNIQUENESS THEOREMFOR RELATIVE CUNTZ-PIMSNER ALGEBRAS
We present a new proof of the gauge-invariant uniqueness theorem for C*-correspondences that is conceptual and simplifies earlier arguments. The proof is based on a reasoning due to Evgenios Kakariadis, and treats all relative Cuntz-Pimsner algebras on equal footing. As a consequence, in …
4 listopada 2020 17:15
MARIUSZ TOBOLSKI (Uniwersytet Wrocławski)
THE BORSUK-ULAM THEOREM FOR LOCALLY TRIVIAL COMPACT G-SPACES
The Borsuk-Ulam-type conjecture of Baum, Dąbrowski, and Hajac states that, given a free action of a non-trivial compact Hausdorff group G on a compact Hausdorff space X, there is no continuous G-equivariant map from the join X*G to X. The goal of this talk is to explain …
28 października 2020 17:15
DEVARSHI MUKHERJEE (Universität Göttingen)
ANALYTIC CYCLIC HOMOLOGY IN POSITIVE CHARACTERISTIC
We define a homology theory for complete torsion-free bornological algebras over a complete discrete valuation ring. The theory satisfies homotopy invariance, Morita invariance and excision. We use these properties to compute our theory for Leavitt path algebras. For …
21 października 2020 17:15
JACEK KRAJCZOK (IMPAN)
COAMENABILITY OF TYPE-I LOCALLY COMPACT QUANTUM GROUPS VIA CONVOLUTION OPERATORS
We say that a locally compact quantum group is type I if its universal C*-algebra (which is the universal version of the C*-algebra of continuous functions vanishing at infinity on the dual quantum group) is type I. This class of quantum groups can be thought of as an intermediate …