9 dec 2015 -- 14:30
Aula di Consiglio, Dip. Matematica, Università "La Sapienza", Roma
In the total space of the Hodge bundle of stable differentials over the Deligne-Mumford compactification of the moduli space of curves with marked points, we describe precisely the closure of the locus of differentials with prescribed multiplicities of zeroes and poles at these points. Our focus will be on necessary and sufficient conditions for a stable curve to lie in this closure. Based on joint work with M. Bainbridge, D. Chen, Q. Gendron, and M. Moeller.