Dynamics Seminar
Myeongjae LeeStony Brook University
Connected components of the strata of residueless meromorphic differentials
Thursday, March 21, 2024 - 2:55pm
Malott 206
Abstract: Strata of differentials are interesting objects studied in various fields such as 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 classify the connected components of the strata of residueless meromorphic differentials, with a degeneration technique to the boundary of multi-scale compactification.