Posted on February 19, 2019


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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Kummer Classes and Anabelian Geometry pdf.

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Anabelian geometry

By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. Anabelian geometry study materials? Grothendieck also conjectured the existence of higher-dimensional anabelian varieties, but these are still very mysterious.

I don’t recommend that book. By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies.

This volumeGalois Groups and Fundamental Groupsedited by Leila Schneps has a great collection of articles, as does this volumeGeometric Galois Actionsincluding a nice article by Florian Annabelian on “Glimpses of Grothendieck’s anabelian geometry.


Key results of mono-anabelian geometry were published in Mochizuki’s “Topics in Absolute Anabelian Geometry. Tannaka duality for geometric stacks. If you start with Szamuely as an introduction, you could then move on to this afterwards. If you’d like videos, here is a series of lectures on related topics, including a long series by Pop on anabelian geometry. The book mentioned by Felipe is available here: I want to study anabelian geometry, but unfortunately I’m having difficulties in finding some materials about it.

The first traditional conjectures, originating from Alexander Grothendieck and introduced in Esquisse d’un Programme were about how topological homomorphisms between two groups of aabelian hyperbolic curves over number fields correspond to maps between the curves.

reference request – Anabelian geometry study materials? – MathOverflow

Frans Oort, Lecture notes. Home Questions Tags Users Unanswered. Yuri TschinkelIntroduction to anabelian geometrytalk at Symmetries and correspondences in ababelian theory, geometry, algebra, physics: Email Required, but never shown. In anabelian geometry one studies how much information about a space X X specifically: Grothendieck conjectured that the algebraic fundamental group G of Ca profinite groupdetermines C itself i.

MathOverflow works best with JavaScript enabled. Suppose given a hyperbolic curve Ci. Sign up using Facebook. Matsumoto, Makoto, Arithmetic fundamental groups and moduli of curves. Post as a guest Name. Geometyr of Galois groupsJ. Niels 3, 12 Anabelian geometry is a theory in number theorywhich describes the way to which algebraic fundamental group G of a certain arithmetic variety Vor some related geometric object, can help to restore V.


Caen, Caen,pp. At MSRI, you can find some lectures from Fallincluding one specifically about anabelian geometry.

Autumn Kent 9, 3 45 The classification of anabelian varieties for number fields was shown in. Sign up using Email and Password.

I’m sure this book will be the one to get, once it comes out. No it is a collection of conference talksbut this is also a good source. That is quite a list of authors.

David Corwin 6, anabelin 66 This was proved by Mochizuki. This page was last edited on 25 Decemberat More recently, Mochizuki introduced and developed a so called mono-anabelian geometry which restores, for a certain class of hyperbolic curves over number fields, the curve from its algebraic fundamental group. Notes, 1, Abdus Salam Int. Taylor DuypuyAnabelian geometry. Sign up or log in Sign up using Google.