Algebraic Geometry Seminar, UC Davis

Laura Escobar, Washington University in St. Louis

Wall-crossing phenomena for Newton-Okounkov bodies

Organizer's time: 2020-10-21 11:00 America/Los_Angeles

Duration: 1 hour

Access information: https://www.math.ucdavis.edu/~casals/Teaching/Fall20/Seminar/Fall20AGSeminar.html

A Newton-Okounkov body is a convex set associated to a projective variety, equipped with a valuation. These bodies generalize the theory of Newton polytopes. Work of Kaveh-Manon gives an explicit link between tropical geometry and Newton-Okounkov bodies. We use this link to describe a wall-crossing phenomenon for Newton-Okounkov bodies. This is joint work with Megumi Harada.

Submitted by: Eugene Gorsky