Overview
- Discusses the theory of perfectoid spaces and their applications to the theory of modular forms
- Introduces the p-adic Hodge theory, φ-module, and Γ-module
- Explains the relation between Fargues–Fontaine curves and p-adic Hodge theory
Part of the book series: Infosys Science Foundation Series (ISFS)
Part of the book sub series: Infosys Science Foundation Series in Mathematical Sciences (ISFM)
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Table of contents (8 chapters)
Keywords
About this book
Editors and Affiliations
About the editors
DEBARGHA BANERJEE is Associate Professor of mathematics at the Indian Institute of Science Education and Research (IISER), Pune, India. He earned his Ph.D. from the Tata Institute of Fundamental Research, Mumbai, in 2010, under the guidance of Prof. Eknath Ghate. He worked at the Australian National University, Canberra, and the Max Planck Institute for Mathematics, Germany, before joining the IISER, Pune. He works in the theory of modular forms. He published several articles in reputed international journals and supervised several students for their Ph.D. and master’s degree at the IISER, Pune.
KIRAN KEDLAYA is Professor and Stefan E. Warschawski Chair in Mathematics at the University of California San Diego, USA. He did his Ph.D. from Massachusetts Institute of Technology (MIT), USA. He is an Indian–American Mathematician, and he held several visiting positions at several eminent universities like the Institute of Advanced studies, Princeton; the University of California, Berkeley; and MIT. He is an expert in p-adic Hodge theory, p-adic/non-Archimedean analytic geometry, p-adic differential equations, and algorithms in arithmetic geometry. He gave an invited talk at the ICM 2010.
EHUD DE SHALIT is Professor of Mathematics, The Einstein Institute of Mathematics, Hebrew University, Giv'at-Ram, Jerusalem, Israel. A number theorist, Prof. Shalit has worked on topics related to class field theory, Iwasawa theory of elliptic curves, modular forms, p-adic L-functions, and p-adic analytic geometry. Current projects involve studying the cohomology of p-adic symmetric domains and the varieties uniformized by them.
Bibliographic Information
Book Title: Perfectoid Spaces
Editors: Debargha Banerjee, Kiran S. Kedlaya, Ehud de Shalit, Chitrabhanu Chaudhuri
Series Title: Infosys Science Foundation Series
DOI: https://doi.org/10.1007/978-981-16-7121-0
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2022
Hardcover ISBN: 978-981-16-7120-3Published: 23 April 2022
Softcover ISBN: 978-981-16-7123-4Published: 23 April 2023
eBook ISBN: 978-981-16-7121-0Published: 21 April 2022
Series ISSN: 2363-6149
Series E-ISSN: 2363-6157
Edition Number: 1
Number of Pages: IX, 389
Topics: Algebraic Geometry, Number Theory