Symmetric Intersecting Families of Sets

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• David Ellis (QMUL)
• Thursday 20 October 2016, 14:30-15:30
• MR12.

If you have a question about this talk, please contact Andrew Thomason.

Let X be a finite set. We say a family F of subsets of X is ‘three-wise intersecting’ if any three sets in F have nonempty intersection; we say it is ‘symmetric’ if it has transitive automorphism group. Frankl conjectured in 1981 that if F is a symmetric, three-wise intersecting family of subsets of an n-element set, then F has size o(2^n). We will discuss a recent (and surprisingly short) proof of this conjecture. Joint work with Bhargav Narayanan (Cambridge).

This talk is part of the Combinatorics Seminar series.

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