TGiZ-Seminar: Tropical geometry in Zoom (Second meeting Summer Semester 2022)

Kaelin Cook-Powell (Emory University)

Abstract:
The study of line bundles on algebraic curves has historically had deep connections with combinatorics. For example, standard young tableaux have been used to study line bundles of sufficiently general curves. Recently a variation of tableaux, known as k-uniform displacement tableaux, have been used to study line bundles of general covers — that is curves general in the Hurwitz space. We will discuss how these displacement tableaux relate to line bundles of general covers and examine how they are used to produce new results in Brill-Noether Theory.