CU Algebraic Lie Theory Seminar

CU Algebraic Lie Theory Seminar
Generalized Littlewood--Richardson rules Richard Green, CU
September 6, 2011 Math 350 2-3pm	Abstract A problem in algebraic geometry is to compute Schubert intersection numbers. These count the points of intersection of generically translated Schubert varieties. For minuscule flag varieties such as Grassmannians, these numbers can be computed by a combinatorial rule called "jeu de taquin", which in the Grassmannian case is called the Littlewood--Richardson rule. This talk will describe this combinatorial rule and some of its key properties. No knowledge of algebraic geometry will be assumed.

Generalized Littlewood--Richardson rules

Richard Green, CU

September 6, 2011

Math 350

2-3pm

Abstract

A problem in algebraic geometry is to compute Schubert intersection numbers. These count the points of intersection of generically translated Schubert varieties. For minuscule flag varieties such as Grassmannians, these numbers can be computed by a combinatorial rule called "jeu de taquin", which in the Grassmannian case is called the Littlewood--Richardson rule. This talk will describe this combinatorial rule and some of its key properties. No knowledge of algebraic geometry will be assumed.