Available Formats
The p-adic Simpson Correspondence (AM-193)
By (Author) Ahmed Abbes
By (author) Michel Gros
By (author) Takeshi Tsuji
Princeton University Press
Princeton University Press
18th April 2016
United States
Tertiary Education
Non Fiction
512.5
Paperback
616
Width 178mm, Height 254mm
1077g
The p-adic Simpson correspondence, recently initiated by Gerd Faltings, aims at describing all p-adic representations of the fundamental group of a proper smooth variety over a p-adic field in terms of linear algebra--namely Higgs bundles. This book undertakes a systematic development of the theory following two new approaches, one by Ahmed Abbes a
"The authors give a very detailed introduction to the theory, smoothing out some difficulties by introducing new concepts."--Gerd Faltings, Zentralblatt MATH
Ahmed Abbes is director of research at the French National Center for Scientific Research (CNRS) and the Institute of Advanced Scientific Studies (IHES), France. Michel Gros is a researcher at the CNRS. Takeshi Tsuji is a professor in the Graduate School of Mathematical Sciences at the University of Tokyo.