The P-Adic Simpson Correspondence

by Michel Gros, Ahmed Abbes, Takeshi Tsuji

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: Hardcover
• Language: English
• ISBN: 0691170282
• ISBN13: 9780691170282
• Release Date: February 2016
• Publisher: Princeton University Press
• Length: 616 Pages
• Weight: 2.70 lbs.
• Dimensions: 1.4" x 7.1" x 10.0"