Algebraic Geometry Seminar
Ian Cavey
The Ohio State University
Hilbert Schemes and Newton-Okounkov Bodies
Abstract: The Hilbert scheme of n points in the (affine) plane parametrizes finite, length n subschemes of C^2. In this talk I will explain how to compute the “Newton-Okounkov bodies” of these Hilbert schemes. These Newton-Okounkov bodies are (unbounded) polyhedra which encode geometric information about the Hilbert schemes. I will also discuss some partial results and conjectures for Hilbert schemes of points on complete toric surfaces.
Monday April 18, 2022 at 3:00 PM in Zoom