The p-adic Simpson Correspondence and Hodge-Tate Local Systems

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【簡介】 This book delves into the p-adic Simpson correspondence, its construction, and development. Offering fresh and innovative perspectives on this important topic in algebraic geometry, the text serves a dual purpose: it describes an important tool in p-adic Hodge theory, which has recently attracted significant interest, and also provides a comprehensive resource for researchers. Unique among the books in the existing literature in this field, it combines theoretical advances, novel constructions, and connections to Hodge-Tate local systems. This exposition builds upon the foundation laid by Faltings, the collaborative efforts of the two authors with T. Tsuji, and contributions from other researchers. Faltings initiated in 2005 a p-adic analogue of the (complex) Simpson correspondence, whose construction has been taken up in several different ways. Following the approach they initiated with T. Tsuji, the authors develop new features of the p-adic Simpson correspondence, inspired by their construction of the relative Hodge-Tate spectral sequence. First, they address the connection to Hodge-Tate local systems. Then they establish the functoriality of the p-adic Simpson correspondence by proper direct image. Along the way, they expand the scope of their original construction. The book targets a specialist audience interested in the intricate world of p-adic Hodge theory and its applications, algebraic geometry and related areas. Graduate students can use it as a reference or for in-depth study. Mathematicians exploring connections between complex and p-adic geometry will also find it valuable. 【目錄】

The Student’s Guide to Cognitive Neuroscience (5版)

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【簡介】 Reflecting recent changes in the way cognition and the brain are studied, this thoroughly updated fifth edition of this bestselling textbook provides a comprehensive and student-friendly guide to cognitive neuroscience. Jamie Ward provides an easy-to-follow introduction to neural structure and function, as well as all the key methods and procedures of cognitive neuroscience, with a view to helping students understand how they can be used to shed light on the neural basis of cognition.The book presents a comprehensive overview of the latest theories and findings in all the key topics in cognitive neuroscience, including vision, hearing, attention, memory, speech and language, executive function, social and emotional behavior, and developmental neuroscience. Throughout, case studies, newspaper reports, everyday examples, and student-friendly pedagogy are used to help students understand the more challenging ideas that underpin the subject. This edition features expanded coverage of consciousness, a combined chapter on literacy and numeracy, and increased coverage of brain networks and computational approaches.Written in an engaging style by a leading researcher in the field and presented in full color including numerous illustrative materials, this book will be invaluable as a core text for undergraduate modules in cognitive neuroscience. It can also be used as a key text on courses in cognition, cognitive neuropsychology, biopsychology, or brain and behavior. Those embarking on research will find it an invaluable starting point and reference.This textbook is supported by an extensive collection of free digital resources for students and instructors, including lectures by leading researchers, links to key studies and interviews, multiple-choice questions, and interactive flashcards to test your knowledge. Visit the Instructor & Student Resources website at routledgelearning.com/wardcognitiveneuroscience.