
Softcover ISBN: | 978-2-85629-913-5 |
Product Code: | PASY/54 |
List Price: | $75.00 |
AMS Member Price: | $60.00 |

Softcover ISBN: | 978-2-85629-913-5 |
Product Code: | PASY/54 |
List Price: | $75.00 |
AMS Member Price: | $60.00 |
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Book DetailsPanoramas et SynthèsesVolume: 54; 2020; 268 ppMSC: Primary 14; 11
This volume offers a progressive and comprehensive introduction to \(p\)-adic Hodge theory. It starts with Tate's works on \(p\)-adic divisible groups and the cohomology of \(p\)-adic varieties, which constitutes the main concrete motivations for the development of \(p\)-adic Hodge theory. It then moves smoothly to the construction of Fontaine's \(p\)-adic period rings and their apparition in several comparison theorems between various \(p\)-adic cohomologies. Applications and generalizations of these theorems are subsequently discussed. Finally, Scholze's modern vision on \(p\)-adic Hodge theory, based on the theory of perfectoids, is presented.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
ReadershipGraduate students and research mathematicians.
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This volume offers a progressive and comprehensive introduction to \(p\)-adic Hodge theory. It starts with Tate's works on \(p\)-adic divisible groups and the cohomology of \(p\)-adic varieties, which constitutes the main concrete motivations for the development of \(p\)-adic Hodge theory. It then moves smoothly to the construction of Fontaine's \(p\)-adic period rings and their apparition in several comparison theorems between various \(p\)-adic cohomologies. Applications and generalizations of these theorems are subsequently discussed. Finally, Scholze's modern vision on \(p\)-adic Hodge theory, based on the theory of perfectoids, is presented.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Graduate students and research mathematicians.