Renormalisation in Regularity Structures of Trees

In this talk I will describe at a high level the approach of Hairer's theory of regularity structures for semilinear subcritical singular SPDEs. As a particular focus, the talk will aim to highlight how the problem of renormalisation arises in that context alongside some recent progress in the construction of appropriately renormalised ‘models’. Finally, time permitting, I will discuss some open problems pertaining to renormalisation in this setting.