Seminar of Department of Theoretical Physics - Thomas Weber (18.11.2025)

Tuesday 18.11.2025 at 14:00, Lecture room F2/125

04. 11. 2025 16.54 hod.
By: Peter Maták

Thomas Weber (Charles University, Faculty of Mathematics and Physics):
Hopf algebras and quantum principal bundles

Abstract:
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