Foundations of p-adic teichmuller theory

Includes index

Includes bibliography (p. 519-524) and references

1 Crys-stable bundles
2 Torally crys-stable bundles in positive characteristic
3 VF-patterns
4 Construction of examples
5 Combinatorialization at infinity of the stack of nilcurves
6 The stack of quasi-analytic self-isogenies
7 The generalized ordinary theory
8 The geometrization of binary-ordinary Frobenius liftings
9 The geometrization of spiked Frobenius liftings
10 Representations of the fundamental group of the curve

Lays the foundation for a theory of uniformization of $p$-adic hyperbolic curves and their moduli. This book intends to bridge the gap between the approach presented and classical uniformization of a hyperbolic Riemann surface that is studied in undergraduate complex analysis. It gives a treatment of a nonabelian example of $p$-adic Hodge theory.