Julia McClellan

Date

Wednesday February 1, 2023
1:00 pm - 2:00 pm

Location

Jeffery Hall, Room 222 & Zoom

Curves Seminar

Wednesday, February 1st, 2023

Time: 1:00 p.m.  Place: Jeffery Hall, Room 222 & Zoom

Speaker: Julia McClellan

Title: Introduction to Polytopes and their Lattice Points

Abstract: Before we begin to look at the rich connections between our previous discussion of projective toric varieties and polytopes, we need to study polytopes themselves and their lattice points. We will begin by developing a vocabulary to discuss polytopes and their properties. Next, we will see some examples of special classes of polytopes. Finally, we will define sums, multiples, and duals. These tools will allow us to continue our discussion towards lattice polytopes and their connection with toric varieties.