Myeongjae Lee, Connected Components of the Strata of Residueless Meromorphic Differentials

Strata of differentials are interesting objects studied in various fields such as Teichmuller dynamics, topology and algebraic geometry. Generalized strata are subsets of the strata of meromorphic differentials, where certain sets of residues summing up to zero. We present the classification of the connected components of the strata of residueless meromorphic differentials, using a degeneration technique to the boundary of a nice compactification of strata.