Tue, March 1, 2022
3:00 pm - 4:00 pm
MW 154
Title: Hilbert Schemes and Newton-Okounkov Bodies
Speaker: Ian Cavey (Ohio State)
Speaker's URL: https://math.osu.edu/people/cavey.14
Abstract: The Hilbert scheme of $n$ points in the plane parametrizes finite, length $n$ subschemes of $\mathbb{C}^2$. In this talk I will explain how to compute the Newton-Okounkov body of this Hilbert scheme. Newton-Okounkov bodies are convex sets that encode geometric information about the underlying space. In this case, the Newton-Okounkov body turns out to be an (unbounded) polyhedron which we can describe explicitly. If time permits, I will also discuss partial results for the Hilbert schemes of points on toric surfaces.
URL associated with Seminar
https://research.math.osu.edu/agseminar/