Perfectoid Spaces

Debargha Banerjee (Editor), Chitrabhanu Chaudhuri (Editor), Ehud De Shalit (Editor), Kiran S Kedlaya (Editor)

Research output: Book/ReportBookpeer-review


This book contains selected chapters on perfectoid spaces, their introduction and applications, as invented by Peter Scholze in his Fields Medal winning work. These contributions are presented at the conference on "Perfectoid Spaces" held at the International Centre for Theoretical Sciences, Bengaluru, India, from 9–20 September 2019. The objective of the book is to give an advanced introduction to Scholze’s theory and understand the relation between perfectoid spaces and some aspects of arithmetic of modular (or, more generally, automorphic) forms such as representations mod p, lifting of modular forms, completed cohomology, local Langlands program, and special values of L-functions. All chapters are contributed by experts in the area of arithmetic geometry that will facilitate future research in the direction.
Original languageEnglish
Place of PublicationSingapore
PublisherSpringer Nature Singapore; Imprint: Springer
Number of pages389
Edition1st ed. 2022
ISBN (Electronic)9789811671210
ISBN (Print)9789811671203
StatePublished - 2022

Publication series

NameInfosys Science Foundation Series
ISSN (Print)2363-6149
ISSN (Electronic)2363-6157


  • Perfectoid spaces
  • Arithmetic geometry
  • Representation theory
  • Algebraic geometry
  • Modular forms
  • p-adic Hodge theory


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