Algebra and Algebraic Geometry Seminar – Adam Van Tuyl – The Kruskal-Katona Theorem
Oct 26, 2023
9:30AM to 10:30AM
Date/Time
Date(s) - 26/10/2023
9:30 am - 10:30 am
Location: HH-207.
Speaker: Adam Van Tuyl (McMaster University)
Title: The Kruskal-Katona Theorem
Abstract: We can associate to a simplicial complex of dimension d a tuple f =(f_0,f_1,…,f_d),where f_i counts the number of faces of the simplicial complex of dimension i. The tuple f is called the f-vector of the simplicial complex. In this expository talk, I will describe the Kruskal-Katona theorem, which characterizes what vectors can be the f-vector of a simplicial complex. If there is time, I will explain some connections to commutative algebra.
