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Responsabili:

Federica Galluzzi  ed  Elena Martinengo
 

Nel calendario si indicano i seminari di geometria algebrica e altre attività di interesse, organizzate dall'Università e dal Politecnico di Torino.

Evento

Titolo: Gauge group and Bisections on bialgebroid
Quando: 25/10/2022 - 10:30
Dove: Palazzo Campana - TORINO
Aula: Aula Lagrange
Relatore: Xiao Han
Afferenza: Queen Mary University of London
Locandina: Locandina

Descrizione:

Abstract:

We study the Ehresmann–Schauenburg bialgebroid of a noncommutative principal bundle as a quantization of the gauge groupoid of a classical principal bundle.
We show that the gauge group of the noncommutative bundle is isomorphic to the group of bisections of the bialgebroid, and we give a crossed module
structure for the bisections and the automorphisms of the bialgebroid. Example illustrating this construction include: a monopole bundle over a quantum spheres. Moreover, we are
going to construct a 2-cocycle \tilde{\sigma} on an ES-bialgebroid from a cleft Hopf Galois extension. We show that in the case of associative type, L(B#_{σ}H, H) = L(B#H)^{\tilde{\sigma}}.

This talk is based on a joint work with Giovanni Landi.
 

Sede

Sede: Palazzo Campana
Indirizzo: Via Carlo Alberto n.10
CAP: 10123
Città: TORINO