Master Course on Quantum Invariant Theory, Spring 2010

For a syllabus see the studigids.

Location: Huygens Building, room HG01.029. Time: Fridays 10:45-12:30,
except February 12 and April 16. On these two days: LIN 7 (Linnaeusgebouw).

Literature:

01.02.: Overview.
05.02.: Haar measure. Representations of compact groups, characters. Peter-Weyl.
12.02.: NO LECTURE since I'll be in Amsterdam.
19.02.: Proof of Peter-Weyl theorem. Tensor categories etc.
26.02.: Symmetric tensor categories. Coherence for (symmetric) tensor categories. Free symmetric categ. Duals.
04.03.: Rigid symmmetric (=compact closed) categories, free rigid symmetric category. Traces, etc.
12.03.: Additive, abelian, linear and *-categories. Pseudo-additive categs, Karoubification... Semisimplicity. Universal linear rigid symmetric categories.
19.03.: Very rough lecture notes, to be revised (pdf)
26.03.: Determinants in symm. tensor categs. Duality theorem of Doplicher/Roberts/Deligne (statement). Baez' characterization of repres. categories of classical groups in terms of univ. properties.
02.04.: No lecture (Good Friday).
09.04.: Various formulations of Tannaka duality.
15.04.: More on Tannaka duality.
23.04.: Doplicher/Roberts-Deligne reconstruction.
30.04.: No lecture (Koninginnedag).
07.05.: NO lecture!
14.05.: No lecture (Friday after ascension)
21.05.: There would have been a lecture on the representation theory of symmetric groups.
28.05.: lecture.
04.06.: No lecture (GQT colloquium in Utrecht).
11.06.: lecture.
18.06.: No lecture (I'l attend a conference)