Rahul Pandharipande : Algebraic curves, Hurwitz covers, and meromorphic differentials

Posted by Ben Bakker , part of the Departmental Colloquium.

At

April 23, 2021, 3 p.m.

In

Zoom

Abstract

Hurwitz's paper "Ueber die Anzahl der Riemann'schen Flächen mit gegebenen Verzweigungspunkten" (1901) started the study of the enumeration of branched coverings of the Riemann sphere. Though more than a century has passed now, there have been many recent developments in the subject that Hurwitz opened. I will explain new results and perspectives on Hurwitz numbers, Hurwitz moduli spaces, and related constructions concerning meromorphic differentials.