Plan. Fields and projective geometry. Milnor K-theory and Galois cohomology. Almost Abelian Anabelian geometry – Bogomolov’s program. Introduction. view of the goal of understanding to what extent the anabelian geometry of hyperbolic curves over p-adic local fields can be made “absolute”. Our main result . Abstract. This paper forms the first part of a three-part series in which we treat various topics in absolute anabelian geometry from the point of view of develop-.
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I want to study anabelian geometry, but unfortunately I’m having difficulties in finding some materials geomtery it. This volumeGalois Groups and Fundamental Groupsedited anabeliian Leila Schneps has a great collection of articles, as does this volumeGeometric Galois Actionsincluding a nice article by Florian Pop on “Glimpses of Grothendieck’s anabelian geometry.
If you’d like videos, here is a series of lectures on related topics, including a long series by Pop on anabelian geometry.
At MSRI, you can find some lectures from Fallincluding one specifically about anabelian geometry. Matsumoto, Makoto, Arithmetic fundamental groups and moduli of curves.
Home Questions Tags Users Unanswered. Anabelian geometry study materials? The book mentioned by Felipe is available here: I don’t recommend that book.
There are lots of errors even concerning basic definitions and inconsistencies. There is this very beautiful survey Nakamura, Hiroaki; Tamagawa, Akio; Mochizuki, Shinichi The Grothendieck conjecture on the fundamental groups of algebraic curves http: Niels 3, 12 That is quite a list of authors.
I’m sure this book will be the one to get, once it comes out.
reference request – Anabelian geometry study materials? – MathOverflow
Anableian you start with Szamuely as an introduction, you could then move on to this afterwards. No it is a collection of conference talksbut this is also a good source.
David Corwin 6, 6 66 The article Matsumoto, Makoto, Arithmetic fundamental groups and moduli of curves. Autumn Kent 9, 3 45 Florian Pop, Lectures on Anabelian phenomena in geometry and arithmetic pdf Yuri Tschinkel, Introduction to anabelian geometrytalk at Symmetries and correspondences in number theory, geometry, algebra, physics: Sign up or log in Sign up using Google.