Colloquium – Laura Escobar – Measuring polytopes.
Oct 7, 2022
3:30PM to 4:30PM
Date(s) - 07/10/2022
3:30 pm - 4:30 pm
Title – Measuring polytopes.
Abstract – This will be an expository talk aimed at a broad audience, including beginning graduate students.
A polytope is a convex bounded polyhedron. There are many ways to measure a polytope: volume, number of vertices, number of lattice points inside the polytope, etc. A wide variety of problems in pure and applied mathematics involve the problem of measuring a polytope. However, these problems are very complex: there is no procedure that can efficiently measure any polytope. In this talk we will discuss these problems for families of polytopes which, due to their symmetries, are of special interest. In the case of the volume of a polytope, we will discuss how the interplay between algebraic geometry and combinatorics sheds light to this problem.
Location: Hamilton Hall 305
Coffee and Cookies will be served in Hamilton Hall 305 at 3:00 pm. Everyone is welcome.