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Graduate Student Combinatorics Seminar Sponsored by DIMACS

On symmetric 3-wise intersecting families

Jinyoung Park

Location:  Graduate Student Lounge, 7th Floor, Hill Center
Date & time: Wednesday, 12 February 2020 at 12:15PM - 1:15PM

Abstract: I will give an expository talk on a nice paper by our own Prof. Bhargav Narayanan (joint with David Ellis). .
A family of sets is said to be symmetric if its automorphism group is transitive, and 3-wise intersecting if any three sets in the family have nonempty intersection. This paper proves if F is a symmetric 3-wise intersecting family of [n] then |F|=o(2^n) (so F is tiny).

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