## 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.