Divisors on curves: from classical to modern geometry
Every meromorphic function F on a Riemann surface C has a divisor Div(F) of zeros and poles. When is a divisor on C obtained from a meromorphic function? This question underlies much of the classical study of curves. A modern turn in the subject comes by viewing the answer as a cycle over the moduli space of curves. In 2014, Pixton proposed a complete formula for the class of the associated cycle via a regularized sum over graphs. I will give an overview of the subject and a sketch of the recent proof of Pixton's formula (joint work with Janda, Pixton, and Zvonkine).
Donnerstag, den 14. Januar 2016 um 17 Uhr c.t. Uhr, in INF 288, HS2 Donnerstag, den 14. Januar 2016 at 17 Uhr c.t., in INF 288, HS2
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. J. Walcher