Course Descriptions

16:640:556 - Representation Theory

Fall 2023

Siddhartha Sahi

Course Description:

This will be a highly individualized course covering topics in Lie theory. It is suitable for students at several different levels. Here are some possibilities:

(1) Learn about Lie algebras and/or Lie groups as a possible minor/major topic for the qualifying exams

(2) Learn ideas from Lie theory and representation theory suitable for application to another area

(3) Work on an open problem in Lie theory and learn the relevant material along the way

Students can work on one or more topic, either individually or in teams. If you are interested in this course, please send me an e-mail, describing your background and interests.

Textbook:

 None

Prerequisites:

Basic graduate courses

*********************************************************

Fall 2022

Stephen Miller

Course Description:

This course is on the representation theory of real reductive groups, and covers Weyl's theory of the representations of compact Lie groups, as well as Bargmann's theory for SL(2,R). Time permitting we will cover special topics such as the Beilinson-Bernstein classification.

Textbook:

TBA

Prerequisites:

Permission of the instructor

*********************************************************

Fall 2021

Siddhartha Sahi

Course Description:

This will be a highly individualized course covering topics in representation theory with "low-hanging" fruit, i.e. areas in which a semester's work might conceivably lead to publishable results. I will help each student choose a topic appropriate to his/her background and taste, sketch the main results in the topic, discuss possible generalizations, and suggest lines of attack. Students can work on one or more topic, either individually or in teams. In particular, if you took this course last time, there will be no overlap! This course is by arrangement.  If you are interested in this course, please send me an e-mail.

Textbook:

 None

Prerequisites:

Basic math grad courses

 

Schedule of Sections:

 

Previous Semesters: