AMSI Winter School 2020 - New Directions in Representation Theory
Representation Theory has undergone a revolution in recent years, with the development of what is now known as higher representation theory. In particular, the notion of categorification has led to the resolution of many problems previously considered to be intractable.
The Winter School will introduce participants to two key strands of modern representation theory, Modular representation theory of finite groups and Reductive algebraic groups and character formulae.
Each strand will begin by providing students with a brief but thorough introduction to the topic in the first week, followed by a second week in which selected more recent development will be covered in sufficient depth to give participants at least a glimpse of higher representation theory. The structure means that participants will gain exposure to some aspects of high representation theory as a culmination, tying the two strands together.
This program will feature lectures from Radha Kessar (City, University of London), Joe Chuang (City, University of London), Ting Xue (The University of Melbourne) and Geordie Williamson (The University of Sydney)