Alex Küronya:
Newton-Okounkov bodies, vanishing sequences, and diophantine approximation
Time and place
Friday, 21.6.13, 10:00-11:00, Raum 404, Eckerstr. 1
Abstract
We will study global sections of line bundles on projective varieties. Newton-Okounkov bodies are a useful tool for handling all global sections of all multiples of a given line bundle at the same time via convex geometry in Euclidean spaces. We go one step further and study functions on Newton-Okounkov bodies that come from valuations on the underlying function field. It turns out that a variation of this theme \nhas led McKinnon and Roth to very interesting results in diophantine approximation. This is an account of joint work with Sebastien Boucksom, Catriona Maclean, and Tomasz Szemberg.