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### Intersections of Finite Sets: Geometry and Topology

**Colloquium**

Speaker: | Florian Frick, Cornell University |

Related Webpage: | http://www.math.cornell.edu/~frick/ |

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.