Dept Banner
Dept Banner

Calendar

Download as iCal file

Special Seminar

Symmetric intersecting families

Location:  Hill 705
Date & time: Wednesday, 01 February 2017 at 12:15PM -

Bhargav Narayanan, Cambridge University: A family of sets is said to be intersecting if any two sets in the family have nonempty intersection. Families of sets subject to various intersection conditions have been studied over the last fifty years and a common feature of many of the results in the area is that the extremal families are often quite asymmetric. Motivated by this, P{'e}ter Frankl conjectured in 1981 that symmetric intersecting families must be very small; more precisely, Frankl conjectured that a family of subsets of \({1, 2, \dots, n}\) where any three sets intersect must have size \(o(2^n)\) if its automorphism group is transitive. In this talk, I shall prove this conjecture.Based on joint work with David Ellis.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.

Contact Us

HillCenter small

Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530