Calvin Fletcher (Queen's University)

Curves Seminar

Speaker: Calvin Fletcher (Queen's University)

Title: An introduction to line bundles and an application to representation theory

Abstract: In this talk we will deviate slightly from the notes in order to introduce line bundles. We will see a few constructions of them and also study what are known as sections of line bundles. Next, we will move back into the world of flag varieties in order to study a particular construction of line bundles over flag varieties. Using this construction, we will achieve another realization of the irreducible representations of the general linear group.