Skip to main content

Chapter 7 Abhyankar's conjecture

What is the goal of the seminar?

It's up to everyone, we can obviously be flexible as we go, but:

Understand: the meaning of Abhyankar's conjecture, get some insight on the geometric perspective on Galois groups, statements of some useful tools and theories that come up in the proof and are generally useful to know (smattering of rigid geometry, some theorems about etale maps, general stuff on char p geometry), and learn something of the proof, how can rigid geometry tell us about characteristic p geometry?

In particular we won't go into detail on proofs of fancy things like Rigid GAGA, but we will spend the last few lectures on various stages of the proof.