Lectures on the Geometry and Modular Representation Theory of Algebraic Groups

Joshua Ciappara, Geordie Williamson

Published 2020-04-30Version 1

These notes provide a concise introduction to the representation theory of reductive algebraic groups in positive characteristic, with an emphasis on Lusztig's character formula and geometric representation theory. They are based on the first author's notes from a lecture series delivered by the second author at the Simons Centre for Geometry and Physics in August 2019. We intend them to complement more detailed treatments.