Strata of meromorphic differentials with prescribed zeroes and poles -- Samuel Grushevsky, February 26, 2016

We describe explicitly the closure, over stable curves, of the locus of meromorphic differentials with prescribed multiplicities of zeroes and poles on Riemann surfaces. This gives a compact space for study in Teichmueller dynamics and also has applications to cycle computations on the moduli space of curves.

Based on joint work with M. Bainbridge, D. Chen, Q. Gendron, and M. Moeller.