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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
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...
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 ...
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...
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...
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 ...
MORITZ WEBER (Universität des Saarlandes)
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...
TOMASZ BRZEZIŃSKI (Prifysgol Abertawe)
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...
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...
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...
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&nbs...
