The section conjecture in anabelian geometry, announced by Grothendieck in 1983, is concerned with a description of the set of rational points of a hyperbolic a

Assuming little technical background, the author presents the strong analogies between these two concepts starting at an elementary level.

In the more than 100 years since the fundamental group was first introduced by Henri Poincaré it has evolved to play an important role in different areas of ma

This book describes the interaction between several key aspects of Galois theory based on Iwasawa theory, fundamental groups and automorphic forms. These ideas

This introductory textbook describes fundamental groups and their topological soul mates, the covering spaces. The author provides several illustrative examples