University of Cambridge > Talks.cam > Combinatorics Seminar > Product mixing and product-free sets in the alternating group

Product mixing and product-free sets in the alternating group

Add to your list(s) Download to your calendar using vCal

  • UserSean Eberhard (University of Oxford)
  • ClockThursday 03 March 2016, 14:30-15:30
  • HouseMR12.

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

Abstract: There is an obvious product-free subset of the symmetric group of size 1/2, but what about for the alternating group? There is 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 ‘product 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.

This talk is part of the Combinatorics Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity