$K$-rational points on curves

Abstract: Mazur and Rubin's ``Diophantine stability'' program suggests asking, for a given curve $C$, over what fields $K$ does $C$ have rational points, or at least to study the degrees of such $K$. We study this question for planar curves $C$ from various perspectives and relate solvability to the shape of $C$'s Newton polygon (the real original one that Newton worked with, not a $p$-adic one which are frequently used in arithmetic geometry research). This is joint work with Lea Beneish

Mathematics

Audience: researchers in the topic

Comments: Zoom link: ubc.zoom.us/j/67843190638?pwd=eUJsc1oyY2xhYnM4NmU3OW1sTEV2dz09

Meeting ID: 678 4319 0638 Passcode: 999070

UBC (online) Number Theory Seminar