Time: 9h00, Wednesday, October 21, 2015

Location: Room 6, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi

Abstract: 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.