Seminars & Colloquia Calendar
On symmetric 3-wise intersecting families
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). https://sites.math.rutgers.edu/~narayanan/pdf/symmetric_3_families.pdf .
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).