Seminár Katedry teoretickej fyziky - Thomas Weber (18.11.2025)

v utorok 18.11.2025 o 14:00 hod. v miestnosti F2/125

04. 11. 2025 16.50 hod.
Od: Peter Maták

Prednášajúci: Thomas Weber (Karlova Univerzita, Fakulta matematiky a fyziky)

Názov: Hopf algebras and quantum principal bundles

Termín: 18.11.2025, 14:00 hod., miestnosť F2 125

Abstrakt:
I will give a gentle introduction to the theory of Hopf--Galois extensions and explain their geometric interpretation as noncommutative principal bundles. If time permits, I will review a differential calculus approach for quantum principal bundles, which gives rise to horizontal and vertical forms, together with a noncommutative Atiyah sequence. Examples, such as the quantum Hopf fibration, will be discussed.

This is partially based on a collaboration with Antonio Del Donno and Emanuele Latini