Iterated p-adic integrals and rational points on curves
Presenter
March 31, 2017
Keywords:
- Galois theory
- Galois orbits
- periods
- Falting's theorem
- elliptic curves
- Chabauty program
- rational points
- algebraic curves
- Coleman integrals
- polylogarithms
- multiple zeta values
- p-adic number theory
- p-adic geometry
- Frobenius morphism
- Teichmuller theory
- p-adic heights
- regular minimal models
MSC:
- 11R34
- 11R32
- 11Rxx
- 11-xx
- 14-xx
- 14Cxx
- 14C30
- 14F30
- 11F33
- 14G05
- 14G17
- 14G40
- 14Gxx
Abstract
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. This is joint work with Netan Dogra.