Character level and character bounds

Character level and character bounds

Thời gian: 09:00 đến 11:00 Ngày 02/08/2017

Địa điểm: B4-705, VIASM

Báo cáo viên: Phạm Hữu Tiệp

Tóm tắt:

We develop the concept of character level for the complex irreducible characters of finite, general or special, linear and unitary groups. We give various characterizations of the level of a character in terms of its Lusztig's label, of its degree, and of certain dual pairs. This concept is then used to prove exponential bounds for character values, provided that either the level of the character or the centralizer of the element is not too large. This is joint work with R. M. Guralnick and M. Larsen.