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Title:
The derived moduli stack of logarithmic flat connections
Speaker:
Abstract:
After reviewing the classification of ODEs with Fuchsian singularities, 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 conjectured to admit shifted Poisson structures. I will discuss this conjectural picture and present some partial results. This talk will be based on the preprints arXiv:2010.03685, arXiv:2209.00631, arXiv:2301.00962.
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