I will talk about recent progress towards a classification of common systems of two or more linear equations. In particular, any system containing a four-term arithmetic progression is uncommon. This follows from a more general result which allows us to deduce the uncommonness of a general system from certain properties of one- or two-equation subsystems.
Joint work with Anita Liebenau and Natasha Morrison.
This is a seminar of the Combinatorial Mathematics Society of Australasia.
Meeting ID: 997 4063 1801