When is a classical space quantum homogeneous?

Ulrich Kraehmer (University of Glasgow)

Wednesday 27th April, 2016 16:00-17:00 Maths 522


Quantum homogeneous spaces are a natural noncommutative geometry generalisation of spaces with a transitive group action: the space becomes an algebra, the group a Hopf algebra. Key examples are quantum 2-spheres, quantum projective spaces etc, but the definition makes also perfect sense when the algebra is a commutative algebra of functions on a classical topological space or affine variety. So, which classical spaces admit a transitive action of a quantum group? I conjecture that all plane curves do, and in this talk I will discuss the example of the cusp and the nodal cubic. (Joint work with Angela Tabiri.)

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