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Quantum Groups and Knot Theory

Studiegidsnummer
5334QGKT6Y
Vakcode
WI406046
Admin. code
OWIN
Studielast
6
Periode(n)
Semester 1 block 1 and 2, voertaal English Zie ook
Onderwijsinstituut
Master School of Sciences
Docent(en)
Onderdeel van

Leerdoelen

Acquaintance with tensor categories and their applications in topology and knot theory.

Inhoud

Introduction to the categorial construction of topological invariants of knots and links. Topics covered are: knots and tangles, the Jones-Conway polynomial, the Yang-Baxter equation, Hopf algebras, tensor and ribbon categories.

Aanmelden

Via Student SelfService or  http://studieweb.student.uva.nl is mandatory before 8 August 2011; includes registration for the examination.

Onderwijsvorm

Lectures.

Studiemateriaal

Paper.
Book: C. Kassel, M. Rosso and V. Turaev, 'Quantum groups and knot invariants', Panoramas et Syntheses, no. 5 (1997), Societe Mathematique de France, ISBN 2-85629-055-8. (Note: this booktitle is different from the paper version of the guide, that one is canceled)
Additional literature: W.B.R. Lickorish: 'An Introduction to Knot Theory', Graduate Texts in Mathematics 175, Springer-Verlag, ISBN 0-387-98254-X.

Toetsvorm

Take home examination.