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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.