I will discuss some new relationships between iterated p-adic line
integrals (Coleman integrals), motivated by the problem of explicitly finding rational points on curves. In particular, I will describe the link between p-adic heights and double integrals and give a few classes of hyperelliptic curves where "quadratic Chabauty" gives us a finite set of p-adic points containing all rational points. This is joint work with Netan Dogra.
Galois Seminar
Friday, April 28, 2017 - 3:15pm
Jennifer Balakrishnan
Boston University