# Principal boundary of strata of abelian differentials and Siegel-Veech constants (in memory of Veech)

## Dawei Chen (Boston College)

Eskin-Masur-Zorich described the principal boundary of strata of abelian differentials that parameterizes flat surfaces with a prescribed generic configuration of short parallel saddle connections. As an application, they gave a recursive algorithm for calculating the associated Siegel-Veech constants. In this talk we describe the principal boundary algebraically over the Deligne-Mumford boundary of stable pointed curves. Along the way we deduce some interesting properties about meromorphic differentials on the Riemann sphere. This is joint work with Qile Chen based on arXiv:1611.01591.

Tuesday, November 15st, at 4:00pm in HBH 227