Mohlo by se vám také líbit

Více informací o knize p-Adic Automorphic Forms on Shimura Varieties

• Parametry knihy
• Anotace
• Oblíbené z jiného soudku

Nákupem získáte 603 bodů

Anotace knihy

This book covers the following three topics in a manner accessible to graduate students who have an understanding of algebraic number theory and scheme theoretic algebraic geometry:§1. An elementary construction of Shimura varieties as moduli of abelian schemes.§2. p-adic deformation theory of automorphic forms on Shimura varieties.§3. A simple proof of irreducibility of the generalized Igusa tower over the Shimura variety.§The book starts with a detailed study of elliptic and Hilbert modular forms and reaches to the forefront of research of Shimura varieties associated with general classical groups. The method of constructing p-adic analytic families and the proof of irreducibility was recently discovered by the author. The area covered in this book is now a focal point of research worldwide with many far-reaching applications that have led to solutions of longstanding problems and conjectures. Specifically, the use of p-adic elliptic and Hilbert modular forms have proven essential in recent breakthroughs in number theory (for example, the proof of Fermat's Last Theorem and the Shimura-Taniyama conjecture by A. Wiles and others).§Haruzo Hida is Professor of Mathematics at University of California, Los Angeles. His previous books include Modular Forms and Galois Cohomology (Cambridge University Press 2000) and Geometric Modular Forms and Elliptic Curves (World Scientific Publishing Company 2000).

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Number theory

• Plný název: p-Adic Automorphic Forms on Shimura Varieties
• Autor: Haruzo Hida
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 390
• EAN: 9780387207117
• ISBN: 0387207112
• ID: 02105763
• Nakladatelství: Springer-Verlag New York Inc.
• Hmotnost: 804 g
• Rozměry: 235 × 155 × 24 mm
• Datum vydání: 10. May 2004

Oblíbené z jiného soudku

---

---

---