Generalised measurability and bilinear forms

In this talk I will briefly go over measurable and generalised measurable structures, giving examples and non-examples. I will then go on to consider the two sorted structure \((V,F, \beta)\) where \(V\) is an infinite dimensional vector space over \(F\) an infinite field, and \(\beta\) a bilinear form on this vector space. In particular I will consider the interaction of different notions of independence when this structure is pseudo finite. I will finish with some questions around generalised measurable structures.