The Weil Conjectures
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The Weil Conjectures
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Author : Karen Olsson
language : en
Publisher:
Release Date : 2020-07-09
The Weil Conjectures written by Karen Olsson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-09 with categories.
'Beguiling ... Olsson is evocative on curiosity as an appetite of the mind, on the pleasure of glutting oneself on knowledge' New York Times Simone Weil- philosopher, political activist, mystic o and sister to Andr , one of the most influential mathematicians of the twentieth century. These two extraordinary siblings formed an obsession for Karen Olsson, who studied mathematics at Harvard, only to turn to writing as a vocation. When Olsson got hold of the 1940 letters between the siblings, she found they shared a curiosity about the inception of creative thought o that flash of insight o that Olsson experienced as both a maths student, and later, novelist. Following this thread of connections, The Weil Conjectures explores the lives of Simone and Andr , the lore and allure of mathematics, and its significance in Olsson's own life.
Weil Conjectures Perverse Sheaves And L Adic Fourier Transform
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Author : Reinhardt Kiehl
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Weil Conjectures Perverse Sheaves And L Adic Fourier Transform written by Reinhardt Kiehl and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
The authors describe the important generalization of the original Weil conjectures, as given by P. Deligne in his fundamental paper "La conjecture de Weil II". The authors follow the important and beautiful methods of Laumon and Brylinski which lead to a simplification of Deligne's theory. Deligne's work is closely related to the sheaf theoretic theory of perverse sheaves. In this framework Deligne's results on global weights and his notion of purity of complexes obtain a satisfactory and final form. Therefore the authors include the complete theory of middle perverse sheaves. In this part, the l-adic Fourier transform is introduced as a technique providing natural and simple proofs. To round things off, there are three chapters with significant applications of these theories.
Etale Cohomology And The Weil Conjecture
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Author : Eberhard Freitag
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Etale Cohomology And The Weil Conjecture written by Eberhard Freitag and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
Some years ago a conference on l-adic cohomology in Oberwolfach was held with the aim of reaching an understanding of Deligne's proof of the Weil conjec tures. For the convenience of the speakers the present authors - who were also the organisers of that meeting - prepared short notes containing the central definitions and ideas of the proofs. The unexpected interest for these notes and the various suggestions to publish them encouraged us to work somewhat more on them and fill out the gaps. Our aim was to develop the theory in as self contained and as short a manner as possible. We intended especially to provide a complete introduction to etale and l-adic cohomology theory including the monodromy theory of Lefschetz pencils. Of course, all the central ideas are due to the people who created the theory, especially Grothendieck and Deligne. The main references are the SGA-notes [64-69]. With the kind permission of Professor J. A. Dieudonne we have included in the book that finally resulted his excellent notes on the history of the Weil conjectures, as a second introduction. Our original notes were written in German. However, we finally followed the recommendation made variously to publish the book in English. We had the good fortune that Professor W. Waterhouse and his wife Betty agreed to translate our manuscript. We want to thank them very warmly for their willing involvement in such a tedious task. We are very grateful to the staff of Springer-Verlag for their careful work.
The Weil Conjectures
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Author : Karen Olsson
language : en
Publisher: Bloomsbury Publishing
Release Date : 2019-07-11
The Weil Conjectures written by Karen Olsson and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-11 with Biography & Autobiography categories.
_______________ 'Beguiling ... I was riveted. Olsson is evocative on curiosity as an appetite of the mind, on the pleasure of glutting oneself on knowledge' - New York Times 'A wonderful book ... Reading it is akin to kicking a can along the road of higher learning' - Patti Smith 'A remarkable tour de force' - Standpoint _______________ Simone Weil: philosopher, political activist, mystic – and sister to André, one of the most influential mathematicians of the twentieth century. These two extraordinary siblings formed an obsession for Karen Olsson, who studied mathematics at Harvard, only to turn to writing as a vocation. When Olsson got hold of the 1940 letters between the siblings, she found they shared a curiosity about the inception of creative thought – that flash of insight – that Olsson experienced as both a mathematics student, and later, a novelist. Following this thread of connections, The Weil Conjectures explores the lives of Simone and André, the lore and allure of mathematics, and its significance in Olsson's own life.
The Weil Conjectures
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Author : Karen Olsson
language : en
Publisher: Macmillan + ORM
Release Date : 2019-07-16
The Weil Conjectures written by Karen Olsson and has been published by Macmillan + ORM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-16 with Biography & Autobiography categories.
A New York Times Editors' Pick and Paris Review Staff Pick "A wonderful book." --Patti Smith "I was riveted. Olsson is evocative on curiosity as an appetite of the mind, on the pleasure of glutting oneself on knowledge." --Parul Sehgal, The New York Times An eloquent blend of memoir and biography exploring the Weil siblings, math, and creative inspiration Karen Olsson’s stirring and unusual third book, The Weil Conjectures, tells the story of the brilliant Weil siblings—Simone, a philosopher, mystic, and social activist, and André, an influential mathematician—while also recalling the years Olsson spent studying math. As she delves into the lives of these two singular French thinkers, she grapples with their intellectual obsessions and rekindles one of her own. For Olsson, as a math major in college and a writer now, it’s the odd detours that lead to discovery, to moments of insight. Thus The Weil Conjectures—an elegant blend of biography and memoir and a meditation on the creative life. Personal, revealing, and approachable, The Weil Conjectures eloquently explores math as it relates to intellectual history, and shows how sometimes the most inexplicable pursuits turn out to be the most rewarding.
Weil S Conjecture For Function Fields
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Author : Dennis Gaitsgory
language : en
Publisher: Princeton University Press
Release Date : 2019-02-19
Weil S Conjecture For Function Fields written by Dennis Gaitsgory 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 2019-02-19 with Mathematics categories.
A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms of the behavior of various completions of K. This book looks at a specific example of a local-to-global principle: Weil’s conjecture on the Tamagawa number of a semisimple algebraic group G over K. In the case where K is the function field of an algebraic curve X, this conjecture counts the number of G-bundles on X (global information) in terms of the reduction of G at the points of X (local information). The goal of this book is to give a conceptual proof of Weil’s conjecture, based on the geometry of the moduli stack of G-bundles. Inspired by ideas from algebraic topology, it introduces a theory of factorization homology in the setting l-adic sheaves. Using this theory, Dennis Gaitsgory and Jacob Lurie articulate a different local-to-global principle: a product formula that expresses the cohomology of the moduli stack of G-bundles (a global object) as a tensor product of local factors. Using a version of the Grothendieck-Lefschetz trace formula, Gaitsgory and Lurie show that this product formula implies Weil’s conjecture. The proof of the product formula will appear in a sequel volume.
Zeta And L Functions Of Varieties And Motives
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Author : Bruno Kahn
language : en
Publisher: Cambridge University Press
Release Date : 2020-05-07
Zeta And L Functions Of Varieties And Motives written by Bruno Kahn and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-07 with Mathematics categories.
Discover how zeta and L-functions have shaped the development of major parts of mathematics over the past two centuries.
Etale Cohomology And The Weil Conjecture
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Author : Eberhard Freitag
language : en
Publisher:
Release Date : 1987-12-29
Etale Cohomology And The Weil Conjecture written by Eberhard Freitag and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-12-29 with categories.
This book is concerned with one of the most important developments in algebraic geometry during the last decades. In 1949 AndrA(c) Weil formulated his famous conjectures about the numbers of solutions of diophantine equations in finite fields. He himself proved his conjectures by means of an algebraic theory of Abelian varieties in the one-variable case. In 1960 appeared the first chapter of the "ElA(c)ments de GA(c)ometrie AlgA(c)braique" par A. Grothendieck (en collaboration avec J. DieudonnA(c)). In these "ElA(c)ments" Grothendieck evolved a new foundation of algebraic geometry with the declared aim to come to a proof of the Weil conjectures by means of a new algebraic cohomology theory. Deligne succeded in proving the Weil conjectures on the basis of Grothendiecks ideas. The aim of this "Ergebnisbericht" is to develop as self-contained as possible and as short as possible Grothendiecks 1-adic cohomology theory including Delignes monodromy theory and to present his original proof of the Weil conjectures.
Geometry In Advanced Pure Mathematics
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Author : Bullett Shaun
language : en
Publisher: World Scientific
Release Date : 2017-03-07
Geometry In Advanced Pure Mathematics written by Bullett Shaun and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-07 with Mathematics categories.
This book leads readers from a basic foundation to an advanced level understanding of geometry in advanced pure mathematics. Chapter by chapter, readers will be led from a foundation level understanding to advanced level understanding. This is the perfect text for graduate or PhD mathematical-science students looking for support in algebraic geometry, geometric group theory, modular group, holomorphic dynamics and hyperbolic geometry, syzygies and minimal resolutions, and minimal surfaces. Geometry in Advanced Pure Mathematics is the fourth volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Editor the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas.
The Local Langlands Conjecture For Gl 2
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Author : Colin J. Bushnell
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-29
The Local Langlands Conjecture For Gl 2 written by Colin J. Bushnell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-29 with Mathematics categories.
The Local Langlands Conjecture for GL(2) contributes an unprecedented text to the so-called Langlands theory. It is an ambitious research program of already 40 years and gives a complete and self-contained proof of the Langlands conjecture in the case n=2. It is aimed at graduate students and at researchers in related fields. It presupposes no special knowledge beyond the beginnings of the representation theory of finite groups and the structure theory of local fields.