Seminar Details
On Symmetric 3-Wise Intersecting Families
- Start Date: February 12, 2020
- Event Start Time: 12:15 PM
- Event End Time: 1:15 PM
- Seminar Series: Graduate Combinatorics Seminar
- Presenter(s): Jinyoung Park - Rutgers University
- Event Location: Mathematics Graduate Student Lounge -- 7th Floor | Rutgers University | Hill Center | Mathematics Department
- Presentation Type: Stand Alone Presentation
- 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).