Người báo cáo: Nguyễn Bích Vân
Thời gian: 9h00, thứ 4 ngày 21/10/2015
Địa điểm: Phòng 6 nhà A14 - Viện Toán học, 18 Hoàng Quốc Việt Cầu Giấy, Hà Nội
Tóm tắt: Young tableaux have played an important role in many areas of mathematics from enumerative combinatorics to algebraic geometry. In particular, Young tableux give information about representations of S_n. For representations defined over a field of characteristic 0 a nice and full description has been done, meanwhile over a field of positive characters the problems are much harder, many of them are still open. This talk is an introduction to Young tableaux, their relations with representations of S_n, some interesting results such as the hook-length formula, branching rule, Young's rule and a generalized formula for induced representations. |
