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.
Hosted over two weeks, this program offers a range of specialist topics with overarching themes including classical group theory, character theory, homological algebra, lie groups and algebraic groups. This year’s impressive expert speaker line-up draws upon the knowledge of national and international lecturers at the forefront of their fields, and attracts students from Australia and overseas. In 2020, AMSI is proud to also partner with the Mathematical Sciences Research Institute in America to host 20 of their best and brightest students.
To maximise the experience, the school aims to feature prominent international and domestic speakers, researchers and lecturers as well as a number of program extras including social events, a special guest public lecture and a diversity in STEM panel event.
Professor Radha Kessar (City, University of London)
Professor Joe Chuang (City, University of London)
Dr Ting Xue (The University of Melbourne)
Professor Geordie Williamson (University of Sydney Mathematical Research Institute)
AMSI offers travel, accommodation and caring relief assistance for students and attendees affiliated with AMSI member institutions. Those attending from regional Queensland and interstate are encouraged to apply for an AMSI travel grant.