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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
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...
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 symmetries of graphs, and naturally appear also in quantum information t...
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 f...
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 ...
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 coordinate rings ...
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&nb...
