Presented by: 
Gyula Karolyi, UQ
Tue 10 Sep, 3:00 pm - 4:00 pm
Room 442, Building 67

The study of set addition in the group of integers, and in abelian groups in general, is a classical problem of combinatorial arithmetic. More recent is the systematic study of these questions in a non-commutative setting. One striking example is the understanding of the small doubling phenomenon by Breuillard-Green-Tao and others.

In this talk I survey the developments related to an extremum  problem that goes back to Erdȍs and Heilbronn, with an emphasis on some methods which can be interesting on their own.