AIS - Representation Theory (2022)
Venue: CMI, Chennai
Dates: 20 Jun 2022 to 9 Jul 2022
Convener(s)
| Name: | Prof. Amritanshu Prasad | Prof. Upendra Kulkarni |
| Mailing Address: | Professor H The Institute of Mathematical Sciences, CIT campus, Taramani, Chennai 600113 |
Professor Chennai Mathematical Institute H1, SIPCOT IT Park, Siruseri |
| Email: | amri at imsc.res.in | upendra at cmi.ac.in |
Representation Theory is the study realizations of groups as matrices. Having its origins in algebra and number theory, it is now a vast subject with links to Physics, Harmonic Analysis, Combinatorics, Chemistry, Differential Equations, Complexity Theory, etc.
This workshop will focus on the representation theory of finite groups. Assuming that participants are familiar with groups, rings, and modules, we will develop the basic character theory of representations in characteristic zero. We will also discuss techniques for constructing representations of groups, specially Clifford theory. We will discuss projective representations of finite groups, the Frobenius-Schur index, and end with an introduction to representation theory in positive characteristic.