The derived moduli stack of logarithmic flat connections

par Francis Bischoff (Oxford University)

mardi 9 mai 2023, 14:00 → 16:00 Europe/Paris

I will present an explicit finite-dimensional model for the derived moduli stack of flat connections on C^k with logarithmic singularities along a weighted homogeneous Saito free divisor. I will focus in particular on the example of plane curve singularities of the form x^p = y^q. These moduli spaces are expected to admit shifted Poisson structures. I will discuss this conjectural picture and present some partial results.