Representation theory of compact and reductive groups

Instructor: Joel Kamnitzer,
Lectures: MWF 9:00 - 10:00 BA 6183
Office: 6110 Bahen 416-978-5163
Office Hours: Friday 10:00 - 12:00

Grading scheme:

  • Four assignments.

  • Syllabus:
    Generalities of representation theory of compact groups.
    Compact and complex tori.
    Maximal tori and Weyl groups.
    Complexification of compact groups.
    Flag varieties and the Borel-Weil theorem.
    Crystals and combinatorial models for representations.


    Assignment 1 (pdf, tex) due Friday January 28.
    Assignment 2 (pdf, tex) due Friday February 18.
    Assignment 3 (pdf, tex) due Friday March 18.
    Assignment 4 (pdf, tex) due Friday April 15.