Representation theory of compact and reductive groups
Instructor: Joel Kamnitzer, jkamnitz@math.toronto.edu
Lectures: MWF 9:00 - 10:00 BA 6183
Office: 6110 Bahen
416-978-5163
Office Hours: Friday 10:00 - 12:00
Grading scheme:
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.
Notes
Homework:
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.