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Math Colloquium
Florian Frick
Cornell University
Title: Intersections of Finite Sets

Abstract: 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 Lovasz' 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.

Date: Tuesday, December 12, 2017
Time: 4:30 pm
Location: Wean Hall 8220
Submitted by:  Bohman
Note: Refreshments at 4:00 pm, Wean Hall 6220.