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SUMMARY:Product mixing and product-free sets in the alternating group - Se
 an Eberhard (University of Oxford)
DTSTART:20160303T143000Z
DTEND:20160303T153000Z
UID:TALK63072@talks.cam.ac.uk
CONTACT:Andrew Thomason
DESCRIPTION:Abstract: There is an obvious product-free subset of the symme
 tric group of size 1/2\, but what about for the alternating group? There i
 s a natural example of density n^(-1/2 + o(1)). We'll talk about why this 
 is in fact the right answer\, and how this fits in with a general\n'produc
 t mixing' phenomenon. Our tools include some nonabelian Fourier analysis\,
  a version of entropy subadditivity adapted to the symmetric group\, and a
  concentration-of-measure result for rearrangements of inner products.\n
LOCATION:MR12
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