Mark Weber - Characterising strong monoidal functors

Let M be a monoidal V-category. There is a ``nice'' characterisation of (lax) monoidal V-functors from M to V, namely as monoids in the functor category [M,V] equipped with the convolution tensor product. However, there are many instances in which one is interested only in the strong monoidal V-functors, but at present there is no ``nice'' characterisation for these objects. The goal of this talk is to describe some aspects of the structure of the category of strong monoidal V-functors from M to V, at least in the case , with a view to providing the desired characterisations.