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Shulph Ink

Perfectoid Spaces

Perfectoid Spaces

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  • More about Perfectoid Spaces

This book provides an advanced introduction to Peter Scholze's perfectoid spaces and their applications, covering topics such as representations mod p, lifting of modular forms, completed cohomology, local Langlands program, and special values of L-functions.

Format: Hardback
Length: 389 pages
Publication date: 23 April 2022
Publisher: Springer Verlag, Singapore


This book is a comprehensive exploration of perfectoid spaces, a groundbreaking concept developed by Peter Scholze in his remarkable Fields Medal-winning work. It presents a selection of chapters that delve into the introduction and applications of these spaces. These contributions were showcased at the prestigious "Perfectoid Spaces" conference, held at the International Centre for Theoretical Sciences in Bengaluru, India, from September 9 to 20, 2019. The primary objective of this book is to provide a sophisticated and advanced introduction to Scholze's theory, while also shedding light on the intricate relationship between perfectoid spaces and various aspects of arithmetic of modular forms. These include representations mod p, the lifting of modular forms, completed cohomology, the local Langlands program, and the study of special values of L-functions.

The chapters in this book are authored by renowned experts in the field of arithmetic geometry, ensuring that the content is both comprehensive and authoritative. Their insights and expertise will undoubtedly pave the way for future research in this dynamic and rapidly evolving area of mathematics.

By delving into the complexities of perfectoid spaces, this book offers a valuable resource for mathematicians, researchers, and students alike. It provides a solid foundation for understanding the fundamental principles and applications of these spaces, which have the potential to revolutionize our understanding of mathematics and its applications. Whether you are a seasoned mathematician or just beginning your journey into the world of mathematics, this book is a must-read for anyone interested in exploring the frontiers of modern mathematics.

Weight: 764g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811671203
Edition number: 1st ed. 2022

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