Degenerations of Riemann surfaces together with a meromorphic differential

Seminar: 
Algebraic and Tropical Geometry
Event time: 
Thursday, November 9, 2017 - 4:30pm to 5:30pm
Location: 
431 DL
Speaker: 
Samuel Grushevsky
Speaker affiliation: 
Stony Brook University
Event description: 

We describe a natural compactification of the moduli space of complex curves together with a meromorphic 1-form with prescribed multiplicities of zeroes and poles. Such a moduli space is the total space where the action of SL(2,R) is studied in Teichmuller dynamics, and is also the analog of the double ramification cycle on the moduli space of curves. Based on joint work with M. Bainbridge, D. Chen, Q. Gendron, M. Moeller.