Documents  16T20 | enregistrements trouvés : 3

Research talks;Algebra;Algebraic and Complex Geometry

Character varieties of closed surfaces have a natural Poisson structure whose quantization may be constructed in terms of the corresponding quantum group. When the quantum parameter is a root of unity, this quantization carries a central subalgebra isomorphic to the algebra of functions on the classical character variety. In this talk I will describe a procedure which allows one to obtain Azumaya algebras via quantum Hamiltonian reduction. As an application, I will show that quantizations of character varieties at roots of unity are Azumaya over the corresponding classical character varieties.
This is a report on joint work with Iordan Ganev and David Jordan. Character varieties of closed surfaces have a natural Poisson structure whose quantization may be constructed in terms of the corresponding quantum group. When the quantum parameter is a root of unity, this quantization carries a central subalgebra isomorphic to the algebra of functions on the classical character variety. In this talk I will describe a procedure which allows one to obtain Azumaya algebras via quantum Hamiltonian reduction. As an ...

17B63 ; 14F05 ; 14L24 ; 16T20

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- vii; 119 p.
ISBN 978-1-4704-3694-0

Memoirs of the american mathematical society , 1169

Localisation : Collection 1er étage

groupe quantique # algèbre de grappe quantique # algèbre quantique nilpotente # domaine de factorisation unique non commutatif # extension de Ore itérée

16T20 ; 13F60 ; 17B37 ; 14M15

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