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SUMMARY:Symmetric Intersecting Families of Sets - David Ellis (QMUL)
DTSTART:20161020T133000Z
DTEND:20161020T143000Z
UID:TALK68661@talks.cam.ac.uk
CONTACT:Andrew Thomason
DESCRIPTION:Let X be a finite set. We say a family F of subsets of X is 't
 hree-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 fa
 mily of subsets of an n-element set\, then F has size o(2^n).\nWe will dis
 cuss a recent (and surprisingly short) proof of this conjecture. Joint wor
 k with Bhargav Narayanan (Cambridge).\n
LOCATION:MR12
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