Lectures On P Divisible Groups
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Lectures On P Divisible Groups
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Author : M. Demazure
language : en
Publisher: Springer
Release Date : 2006-11-15
Lectures On P Divisible Groups written by M. Demazure and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Lectures given at the Tata Institute of Fundamental Research, Bombay in January-February 1971.
Graph Theory And Applications
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Author : Aldridge Knight Bousfield
language : en
Publisher:
Release Date : 1964
Graph Theory And Applications written by Aldridge Knight Bousfield and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Algebra, Homological categories.
Berkeley Lectures On P Adic Geometry
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Author : Peter Scholze
language : en
Publisher: Princeton University Press
Release Date : 2020-05-26
Berkeley Lectures On P Adic Geometry written by Peter Scholze and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-26 with Mathematics categories.
Berkeley Lectures on p-adic Geometry presents an important breakthrough in arithmetic geometry. In 2014, leading mathematician Peter Scholze delivered a series of lectures at the University of California, Berkeley, on new ideas in the theory of p-adic geometry. Building on his discovery of perfectoid spaces, Scholze introduced the concept of “diamonds,” which are to perfectoid spaces what algebraic spaces are to schemes. The introduction of diamonds, along with the development of a mixed-characteristic shtuka, set the stage for a critical advance in the discipline. In this book, Peter Scholze and Jared Weinstein show that the moduli space of mixed-characteristic shtukas is a diamond, raising the possibility of using the cohomology of such spaces to attack the Langlands conjectures for a reductive group over a p-adic field. This book follows the informal style of the original Berkeley lectures, with one chapter per lecture. It explores p-adic and perfectoid spaces before laying out the newer theory of shtukas and their moduli spaces. Points of contact with other threads of the subject, including p-divisible groups, p-adic Hodge theory, and Rapoport-Zink spaces, are thoroughly explained. Berkeley Lectures on p-adic Geometry will be a useful resource for students and scholars working in arithmetic geometry and number theory.
Model Theory And Algebra
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Author : D.H. Saracino
language : en
Publisher: Springer
Release Date : 2006-11-14
Model Theory And Algebra written by D.H. Saracino and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Lectures On Hilbert Modular Varieties And Modular Forms
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Author : Eyal Zvi Goren
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Lectures On Hilbert Modular Varieties And Modular Forms written by Eyal Zvi Goren and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This book is devoted to certain aspects of the theory of $p$-adic Hilbert modular forms and moduli spaces of abelian varieties with real multiplication. The theory of $p$-adic modular forms is presented first in the elliptic case, introducing the reader to key ideas of N. M. Katz and J.-P. Serre. It is re-interpreted from a geometric point of view, which is developed to present the rudiments of a similar theory for Hilbert modular forms. The theory of moduli spaces of abelianvarieties with real multiplication is presented first very explicitly over the complex numbers. Aspects of the general theory are then exposed, in particular, local deformation theory of abelian varieties in positive characteristic. The arithmetic of $p$-adic Hilbert modular forms and the geometry ofmoduli spaces of abelian varieties are related. This relation is used to study $q$-expansions of Hilbert modular forms, on the one hand, and stratifications of moduli spaces on the other hand. The book is addressed to graduate students and non-experts. It attempts to provide the necessary background to all concepts exposed in it. It may serve as a textbook for an advanced graduate course.
Topics In K Theory
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Author : L.H. Hodgkin
language : en
Publisher: Springer
Release Date : 2006-11-14
Topics In K Theory written by L.H. Hodgkin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Spaces Of Analytic Functions
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Author : O.B. Bekken
language : en
Publisher: Springer
Release Date : 2006-11-14
Spaces Of Analytic Functions written by O.B. Bekken and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Advances In Complex Function Theory
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Author : W. E. Kirwan
language : en
Publisher: Springer
Release Date : 2006-11-14
Advances In Complex Function Theory written by W. E. Kirwan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
The Geometry Of Metric And Linear Spaces
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Author : L. M. Kelly
language : en
Publisher: Springer
Release Date : 2006-11-14
The Geometry Of Metric And Linear Spaces written by L. M. Kelly and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Perfectoid Spaces
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Author : Bhargav Bhatt
language : en
Publisher: American Mathematical Society
Release Date : 2022-02-04
Perfectoid Spaces written by Bhargav Bhatt and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-04 with Mathematics categories.
Introduced by Peter Scholze in 2011, perfectoid spaces are a bridge between geometry in characteristic 0 and characteristic $p$, and have been used to solve many important problems, including cases of the weight-monodromy conjecture and the association of Galois representations to torsion classes in cohomology. In recognition of the transformative impact perfectoid spaces have had on the field of arithmetic geometry, Scholze was awarded a Fields Medal in 2018. This book, originating from a series of lectures given at the 2017 Arizona Winter School on perfectoid spaces, provides a broad introduction to the subject. After an introduction with insight into the history and future of the subject by Peter Scholze, Jared Weinstein gives a user-friendly and utilitarian account of the theory of adic spaces. Kiran Kedlaya further develops the foundational material, studies vector bundles on Fargues–Fontaine curves, and introduces diamonds and shtukas over them with a view toward the local Langlands correspondence. Bhargav Bhatt explains the application of perfectoid spaces to comparison isomorphisms in $p$-adic Hodge theory. Finally, Ana Caraiani explains the application of perfectoid spaces to the construction of Galois representations associated to torsion classes in the cohomology of locally symmetric spaces for the general linear group. This book will be an invaluable asset for any graduate student or researcher interested in the theory of perfectoid spaces and their applications.