Unlikely ramification of algebraic points on curves

Abstract: A slogan of arithmetic geometry is that ''geometry controls arithmetic'': as the geometric complexity increases, the arithmetic also becomes more complicated. In this talk, I will discuss results in this direction that show that there are many number fields that cannot appear as the residue field of points on a fixed curve of genus at least 2. This is joint work with Bianca Viray.

algebraic geometrynumber theory

Audience: researchers in the topic

Boston University Number Theory Seminar