Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

Intersections of Finite Sets: Geometry and Topology


Speaker: Florian Frick, Cornell University
Related Webpage:
Location: 1147 MSB
Start time: Tue, Jan 16 2018, 4:10PM

Given a collection of finite sets, Kneser-type problems aim to partition this collection into parts with well-understood intersection pattern, such as in each part any two sets intersect. Since Lovász' solution of Kneser's conjecture, concerning intersections of all k-subsets of an n-set, topological methods have been a central tool in understanding intersection patterns of finite sets. We will develop a method that in addition to using topological machinery takes the topology of the collection of finite sets into account via a translation to a problem in Euclidean geometry. This leads to simple proofs of old and new results.