BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Survey of Quantum Symmetry in the context of Hopf (co)actions Walton, Chelsea


Quantum objects and their noncommutative algebras of functions have been ubitiquous in mathematics and physics– thus, an appropriate notion of symmetry is needed. As explained by Drinfel′d in his 1986 ICM address, replacing group actions with actions of Hopf algebras is an effective approach. For instance, one can deform group actions on classical objects (resp. commutative function algebras) to obtain (co)actions of Hopf algebras on quantum objects (resp. noncommutative function algebras). But this certainly does not account for all instances of Quantum Symmetry. In this talk, I will provide a survey of recent results on Hopf (co)actions on algebras. Classification results, including some from the analytic context, and many examples will be included.

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