The P-Adic Simpson Correspondence

by Takeshi Tsuji, Ahmed Abbes, Michel Gros

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 and Michel Gros, the other by Takeshi Tsuji. The authors mainly focus on generalized...

• Format: Paperback
• Language: English
• ISBN: 0691170290
• ISBN13: 9780691170299
• Release Date: February 2016
• Publisher: Princeton University Press
• Length: 616 Pages
• Weight: 2.40 lbs.
• Dimensions: 1.3" x 6.8" x 9.9"