Title: Ehrhart theory: What is it and why should I care?
Speaker: McCabe Olsen (Ohio State University)
Abstract: Ehrhart theory is the study of lattice point enumeration in convex rational polyhedra. In this talk, we will provide a brief overview of some concepts, definitions, and properties of interest in Ehrhart theory, as well as discuss some connections to other fields such as algebraic geometry, commutative algebra, and discrete optimization. We will conclude by discussing some recent and ongoing work on the Ehrhart theory of some ``combinatorially interesting" lattice polytopes.
Note: The goal of Welcome Seminar is to give an opportunity to new postdoctoral fellows and tenure track professors to introduce themselves to their colleagues. The talks are intended to be non-technical and accessible to graduate students as well. Please plan to attend and encourage your graduate students to do so as well. The talk will be preceded by a colloquium-style reception at 4:00, in the area adjacent to Cockins Hall 240 on the second floor of the Math Building.
