Seminar series
Date
Mon, 26 May 2014
Time
16:00 -
17:00
Location
C5
Speaker
Przemysław Mazur
Organisation
University of Oxford
The Balog-Szemeredi-Gowers theorem states that, given any finite subset of an abelian group with large additive energy, we can find its large subset with small doubling constant. We can ask how this constant depends on the initial additive energy. In the talk, I will give an upper bound, mention the best existing lower bound and, if time permits, present an approach that gives a hope to improve the lower bound and make it asymptotically equal to the upper bound from the beginning of the talk.