Orateur
Matteo Costantini
Description
Linear submanifolds are the most interesting and well-studied subvarieties of moduli spaces of abelian differentials. We present a formula for the Chern classes of their closure inside the compactification by multi-scale differentials. In particular, we compute a formula for the Chern classes of strata of k-differentials and apply it to test for Deligne–Mostow-type ball quotients. This is a joint work with M. Möller and J. Schwab.
