Fall 2026
Siddhartha Sahi
Course Description:
This will be a highly individualized course covering topics in representation theory. The meeting times will be by arrangement.
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 representation theory suitable for application to another area
(3) Work on an open problem and learn the relevant material along the way
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!
If you are interested in this course, please send me an e-mail, describing your background and interests.
Textbook:
None
Prerequisites:
Basic Graduate Math Courses
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Fall 2025
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
Times will be by arrangement. Since the material is individualized it is certainly possible to take this course more than once.
Textbook:
None
Prerequisites:
Basic graduate courses
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Fall 2024
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
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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
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Fall 2022
Siddhartha Sahi
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
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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:
- Fall 2020 Prof. Sahi
- Spring 2020 Prof. Sahi
- Spring 2019 Prof. Miller
- Fall 2018 Prof. Sahi
- Spring 2018 Prof. Sahi