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Fysica [Mathematische ] --- Fysica [Wiskundige ] --- Geometry --- Géométrie --- Mathematical physics --- Mathematische fysica --- Meetkunde --- Physical mathematics --- Physics -- Mathematics --- Physics [Mathematical ] --- Physique -- Mathématiques --- Physique -- Méthodes mathématiques --- Physique mathématique --- Physique théorique --- Wiskundige fysica --- Geometry. --- Mathematical physics. --- Penrose, Roger, --- Penrose, Roger

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The book is devoted to the geometrical construction of the representations of Lusztig's small quantum groups at roots of unity. These representations are realized as some spaces of vanishing cycles of perverse sheaves over configuration spaces. As an application, the bundles of conformal blocks over the moduli spaces of curves are studied. The book is intended for specialists in group representations and algebraic geometry.

Category theory. Homological algebra --- Quantum groups --- Representations of groups --- Sheaf theory --- Mathematical physics --- Mathematical Theory --- Applied Physics --- Mathematics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Bundeltheorie --- Cohomology [Sheaf ] --- Faisceaux [Théorie des ] --- Fysica [Mathematische ] --- Fysica [Wiskundige ] --- Groupes des quantiques --- Mathematische fysica --- Physical mathematics --- Physics -- Mathematics --- Physics [Mathematical ] --- Physique -- Mathématiques --- Physique -- Méthodes mathématiques --- Physique mathématique --- Physique théorique --- Quanta [Groupes des ] --- Quantumgroepen --- Representation des groupes --- Sheaf cohomology --- Sheaves (Algebraic topology) --- Sheaves [Theory of ] --- Théorie des faisceaux --- Vertegenwoordiging van groepen --- Wiskundige fysica --- Algebraic geometry. --- Differential geometry. --- Topology. --- Nonassociative rings. --- Rings (Algebra). --- Algebraic topology. --- Quantum physics. --- Algebraic Geometry. --- Differential Geometry. --- Non-associative Rings and Algebras. --- Algebraic Topology. --- Quantum Physics. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Topology --- Algebraic rings --- Ring theory --- Algebraic fields --- Rings (Algebra) --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Differential geometry --- Algebraic geometry --- Quantum groups. --- Representations of groups. --- Sheaf theory. --- Cohomology, Sheaf --- Sheaves, Theory of --- Algebraic topology --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- Enveloping algebras, Quantized --- Function algebras, Quantized --- Groups, Quantum --- Quantized enveloping algebras --- Quantized function algebras --- Quantum algebras --- Quantum field theory