 CARMA SEMINAR
 Speaker: Alexander Fish, School of Mathematics and Statistics, The University of Sydney
 Title: Product set phenomena for countable groups
 Location: Room V129, Mathematics Building (Callaghan Campus) The University of Newcastle
 Time and Date: 4:00 pm, Thu, 7^{th} Nov 2013
 Abstract:
We analyse local combinatorial structure in product sets of two subsets of a countable group which are "large" with respect to certain classes (not necessarily invariant) means on the group. As an example of such phenomenon, we can mention the result by Bergelson, Furstenberg and Weiss which says that the sumset of two sets of positive density in integers contains locally an almostperiodic set. In this theorem, large sets are the sets of positive density, and a combinatorial structure is an almost periodic set.
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