Würzburg Seminar on Quantum Field Theory and Gravity

I will discuss a few tools that I have found useful in thinking about issues related to twisted holography, and try to give a conceptual overview of how I see them fitting together in that context. Koszul duality is a recurring theme. Time permitting, I will go on to say a bit about how such tools can be adapted to port results from known constructions in twisted holography to unknown examples, and potentially even to the untwisted setting.