School of Mathematical Sciences

Rational solutions to polynomial equations in families menu

Rational solutions to polynomial equations in families

Speaker: 
Rachel Newton (Reading)
Date/Time: 
Mon, 13/11/2017 - 16:30
Room: 
Queens W316
Seminar series: 

The search for rational solutions to polynomial equations is now ongoing for more than 4000 years. Modern approaches try to piece together 'local' information to decide whether a polynomial equation has a 'global' (i.e. rational) solution. I will describe this approach and its limitations, with the aim of quantifying how often the local-global method fails within certain families of polynomial equations defining twists of norm one tori. I will present work from two recent joint projects: one with Tim Browning, and the other with Christopher Frei and Daniel Loughran.