Speaker: 

Daniel Bertrand

Institution: 

Université Pierre et Marie Curie and MSRI

Time: 

Thursday, April 24, 2014 - 2:00pm

Host: 

Location: 

RH 440R

Contrary to their classical namesakes over the ring of integers, Pell equations over function rings in characteristic zero need not have infinitely many solutions. How often this occurs has been the theme of recent work of D. Masser and U. Zannier. The case of smooth curves is governed by the relative Manin-Mumford conjecture on abelian schemes. We pursue this study by considering singular curves and the associated generalized jacobians.