TITLE:  Young Tableaux<br>
SPEAKER:  Corey Irving<br>
DATE:  5 MARCH 2010<br>
ABSTRACT:<br>
When doing advanced abstract mathematics it is extremely important to stay organised.  Young tableaux are a tool that can organise lots of abstract data into a simple diagram.  Given some mathematical object one would like to perform operations on these objects such as addition, multiplication, intersection, etc.   It is often possible to represent objects as a Young tableaux and impose rules for combining these tableaux that correspond to the operations on our original objects.  This makes it easier to stay organised and makes things seem much more concrete.  We will discuss ways one may do this when working with Schur polynomials, symmetric polynomials, representations of the symmetric and general linear groups, and Schubert varieties.