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SUMMARY:Turan densities for daisies and hypercubes - Imre Leader (Universi
 ty of Cambridge)
DTSTART:20240408T090000Z
DTEND:20240408T100000Z
UID:TALK213850@talks.cam.ac.uk
DESCRIPTION:The Turan problem for hypercubes asks: how few vertices of the
  n-dimensional cube can we take so that they meet every d-dimensional subc
 ube? A longstanding conjecture states that the best one can do (asymptotic
 ally) is 1/(d+1) of all vertices\, by taking every (d+1)th layer of the cu
 be. In this talk we will explain the connection to Turan questions for`dai
 sy' hypergraphs\, and present a disproof of the conjecture. This is joint 
 work with David Ellis and Maria Ivan.
LOCATION:Seminar Room 1\, Newton Institute
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