Tableaux and Puzzles

Friday, 27 September 2013 - 3:30pm
Alexander Molev, Sydney University, Australia
LD 229

The classical Littlewood-Richardson coefficients are remarkable nonnegative integers
which occupy a prominent place in combinatorics, representation theory and geometry.
We will discuss their definition and the rules for their calculation involving
combinatorics of tableaux and puzzles. More general objects known as
the Littlewood-Richardson polynomials arise naturally as the structure coefficients
for a generalized algebra of symmetric functions. We will see how the 
tableau and puzzle rules should be modified to calculate the new objects
and discuss some applications.