Description:

This is the second semester of a one-year NCTS course in 2015-16 for graduate students interested in algebra. We plan to cover and have detailed discussion on representation theory of finite groups of Lie type. We plan to continue discussing Hecke algebras, Weyl groups, construction of representations and Deligne-Lustig varieties. We simply follow the book of Curtis and Reiner [1], Chapter 8. Post-doctorates and students are welcome to attend.

Prerequisite:

One-year Graduate Algebra Course, Representation Theory of Finite Groups. Interested students or post-doctorates should contact the instructor in advance (chiafu@math.sinica.edu.tw)

References:

[1] Curtis and Reiner, Methods of Representation Theory, Vol II. Chapter 8, 1981.

[2] Fulton and Harris, Representation Theory, Chapter 1, GTM 129.

[3] Deligne-Lusztig, Represenation theory of reductive groups over finite fields. Ann. Math 103 (1976).