Algebra seminar in Lincoln: talk by Dr Rachel Newton
On Friday the 9th of February 2018, Dr Rachel Newton (University of Reading) visited Lincoln and gave a talk “Counting failures of a local-global principle”.
Abstract: The search for rational solutions to polynomial equations is 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 families of polynomial equations arising from the norm map between fields, as seen in Galois theory. This is joint work with Tim Browning.”
Charlotte Scott Centre for Algebra 
Reblogged this on Maths & Physics News.
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