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Colloquium di MatematicaDivisors on curves: from classical to modern geometry Rauhl Pandharipande
10-03-2016 - 16:00
Aula F, primo piano, edificio Aule - Largo San Leonardo Murialdo,1 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.
I will give an overview of the subject and a sketch of the very
recent proof of Pixton's formula (joint work with Janda, Pixton, and Zvonkine).
org: PROCESI Michela
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