Math 578: Young tableaux in representation theory and geometry
Monty McGovern
Winter 2000, MWF 9:30-10:20
A Young tableau is an arrangement of numbers in a left-justified array
of nondecreasing rows such that the numbers increase weakly down the columns
and strictly across the rows. These unassuming objects turn out to
have a fascinating theory with numerous applications to representation
theory and geometry (particularly of the symmetric and general linear groups).
Following William Fulton's recent Cambridge University Press book Young
Tableaux, we will survey this theory and its applications. There
are essentially no prerequisites, although familiarity with the first-year
algebra sequence (504/5/6) would be helpful.