Winter 26/27 - Representation Theory of Algebraic Groups III

This is the course website for the lecture course Representation Theory of Algebraic Groups III in Winter 2026/27 at the University of Mainz.

Content
Prerequisites
Lecture Notes
Sources
Schedule
Exams

Content

This course continues Representation Theory of Algebraic Groups I and Representation Theory of Algebraic Groups II.

Prerequisites

Representation Theory of Algebraic Groups I and II, or equivalent background

Lecture Notes

Lecture notes will be posted here during the semester.

Sources

Some sources that the course is based on:

Representation Theory and Complex Geometry, Neil Chriss and Victor Ginzburg
Linear Algebraic Groups, James E. Humphreys
Linear Algebraic Groups, Armand Borel
Representations of Algebraic Groups, Jens Carsten Jantzen
Algebraic Groups, J. S. Milne

Schedule

Lectures

Wednesday 10-12, Room: 04-426
Thursday 10-12, Room: 04-512

The first lecture is on Wednesday, 21 October 2026. The last lecture is on Thursday, 11 February 2027. There are no lectures from 23 December to 5 January.

The lecture on Wednesday, 28 October takes place online via Zoom. The link will be announced in the first lecture.

Exams

There will be an oral exam at the end of the semester. More details will be provided during the course.