|Date: Wednesday, March 18, 2015
Location: 4096 East Hall (4:00 PM to 6:00 PM)
Title: Local positivity and Newton-Okounkov bodies
Abstract: Newton-Okounkov bodies are a convex geometric tool to capture the vanishing behaviour of all global sections of all multiples of a given line bundle at the same time. Originally arising in Okounkov's work in representation theory, by now they have applications all around the place including projective geometry and combinatorics for instance. The main purpose of my talk is to discuss some recent joint work with Victor Lozovanu describing local positivity of line bundles in terms of Newton-Okounkov bodies, and show some simple applications to Seshadri constants.
Speaker: Alex Kuronya
Institution: Budapest University of Technology and Economics