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The Grothendieck Theory of Dessins D Enfants

The Grothendieck Theory of Dessins D Enfants Author Leila Schneps
ISBN-10 0521478219
Release 1994-07-28
Pages 368
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Dessins d'Enfants are combinatorial objects, namely drawings with vertices and edges on topological surfaces. Their interest lies in their relation with the set of algebraic curves defined over the closure of the rationals, and the corresponding action of the absolute Galois group on them. The study of this group via such realted combinatorial methods as its action on the Dessins and on certain fundamental groups of moduli spaces was initiated by Alexander Grothendieck in his unpublished Esquisse d'un Programme, and developed by many of the mathematicians who have contributed to this volume. The various articles here unite all of the basics of the subject as well as the most recent advances. Researchers in number theory, algebraic geometry or related areas of group theory will find much of interest in this book.



Dessins d Enfants on Riemann Surfaces

Dessins d Enfants on Riemann Surfaces Author Gareth A. Jones
ISBN-10 9783319247113
Release 2016-03-23
Pages 259
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This volume provides an introduction to dessins d'enfants and embeddings of bipartite graphs in compact Riemann surfaces. The first part of the book presents basic material, guiding the reader through the current field of research. A key point of the second part is the interplay between the automorphism groups of dessins and their Riemann surfaces, and the action of the absolute Galois group on dessins and their algebraic curves. It concludes by showing the links between the theory of dessins and other areas of arithmetic and geometry, such as the abc conjecture, complex multiplication and Beauville surfaces. Dessins d'Enfants on Riemann Surfaces will appeal to graduate students and all mathematicians interested in maps, hypermaps, Riemann surfaces, geometric group actions, and arithmetic.



Introduction to Compact Riemann Surfaces and Dessins D Enfants

Introduction to Compact Riemann Surfaces and Dessins D Enfants Author Ernesto Girondo
ISBN-10 9780521519632
Release 2012
Pages 298
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An elementary account of the theory of compact Riemann surfaces and an introduction to the Belyi-Grothendieck theory of dessins d'enfants.



Lecture Notes on Diophantine Analysis

Lecture Notes on Diophantine Analysis Author Umberto Zannier
ISBN-10 9788876425172
Release 2015-05-05
Pages 239
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These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. Generally speaking, the prerequisites do not go beyond basic mathematical material and are accessible to many undergraduates. The contents mainly concern diophantine problems on affine curves, in practice describing the integer solutions of equations in two variables. This case historically suggested some major ideas for more general problems. Starting with linear and quadratic equations, the important connections with Diophantine Approximation are presented and Thue's celebrated results are proved in full detail. In later chapters more modern issues on heights of algebraic points are dealt with, and applied to a sharp quantitative treatment of the unit equation. The book also contains several supplements, hinted exercises and an appendix on recent work on heights.



Geometric Galois Actions Volume 2 The Inverse Galois Problem Moduli Spaces and Mapping Class Groups

Geometric Galois Actions  Volume 2  The Inverse Galois Problem  Moduli Spaces and Mapping Class Groups Author Leila Schneps
ISBN-10 0521596416
Release 1997-08-07
Pages 347
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This book surveys progress in the domains described in the hitherto unpublished manuscript "Esquisse d'un Programme" (Sketch of a Program) by Alexander Grothendieck. It will be of wide interest amongst workers in algebraic geometry, number theory, algebra and topology.



London Mathematical Society lecture note series

London Mathematical Society lecture note series Author Michael Sh Braverman
ISBN-10 UCAL:B5111508
Release 1994
Pages
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London Mathematical Society lecture note series has been writing in one form or another for most of life. You can find so many inspiration from London Mathematical Society lecture note series also informative, and entertaining. Click DOWNLOAD or Read Online button to get full London Mathematical Society lecture note series book for free.



Lectures on the Ricci Flow

Lectures on the Ricci Flow Author Peter Topping
ISBN-10 9780521689472
Release 2006-10-12
Pages 113
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An introduction to Ricci flow suitable for graduate students and research mathematicians.



Advances in Elliptic Curve Cryptography

Advances in Elliptic Curve Cryptography Author Ian F. Blake
ISBN-10 1139441221
Release 2005-04-25
Pages
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Since the appearance of the authors' first volume on elliptic curve cryptography in 1999 there has been tremendous progress in the field. In some topics, particularly point counting, the progress has been spectacular. Other topics such as the Weil and Tate pairings have been applied in new and important ways to cryptographic protocols that hold great promise. Notions such as provable security, side channel analysis and the Weil descent technique have also grown in importance. This second volume addresses these advances and brings the reader up to date. Prominent contributors to the research literature in these areas have provided articles that reflect the current state of these important topics. They are divided into the areas of protocols, implementation techniques, mathematical foundations and pairing based cryptography. Each of the topics is presented in an accessible, coherent and consistent manner for a wide audience that will include mathematicians, computer scientists and engineers.



The Asian Journal of Mathematics

The Asian Journal of Mathematics Author
ISBN-10 UOM:39015049407763
Release 1998
Pages
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The Asian Journal of Mathematics has been writing in one form or another for most of life. You can find so many inspiration from The Asian Journal of Mathematics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full The Asian Journal of Mathematics book for free.



Reviews in Number Theory 1984 96

Reviews in Number Theory  1984 96 Author
ISBN-10 0821809377
Release 1997-01-01
Pages 1012
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These six volumes include approximately 20,000 reviews of items in number theory that appeared in Mathematical Reviews between 1984 and 1996. This is the third such set of volumes in number theory. The first was edited by W.J. LeVeque and included reviews from 1940-1972; the second was edited by R.K. Guy and appeared in 1984.



Mikio Sato

Mikio Sato Author Mikio Satō
ISBN-10 PSU:000044502607
Release 1998
Pages 532
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Mikio Sato has been writing in one form or another for most of life. You can find so many inspiration from Mikio Sato also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mikio Sato book for free.



Geometric Galois Actions

Geometric Galois Actions Author Leila Schneps
ISBN-10 LCCN:97012566
Release 1997
Pages
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The British National Bibliography

The British National Bibliography Author Arthur James Wells
ISBN-10 STANFORD:36105117839311
Release 1994
Pages
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The British National Bibliography has been writing in one form or another for most of life. You can find so many inspiration from The British National Bibliography also informative, and entertaining. Click DOWNLOAD or Read Online button to get full The British National Bibliography book for free.



Bulletin new Series of the American Mathematical Society

Bulletin  new Series  of the American Mathematical Society Author
ISBN-10 UCSD:31822022799852
Release 2000
Pages
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Bulletin new Series of the American Mathematical Society has been writing in one form or another for most of life. You can find so many inspiration from Bulletin new Series of the American Mathematical Society also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Bulletin new Series of the American Mathematical Society book for free.



Math on Trial

Math on Trial Author Leila Schneps
ISBN-10 9780465037940
Release 2013-03-12
Pages 272
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In the wrong hands, math can be deadly. Even the simplest numbers can become powerful forces when manipulated by journalists, politicians or other public figures, but in the case of the law your liberty—and your life—can depend on the right calculation. Math on Trial tells the story of ten trials in which mathematical arguments were used—and disastrously misused—as evidence. Despite years of math classes, most people (and most jurors) fail to detect even simple mathematical sophistry, resulting in such horrors as a medical expert’s faulty calculation of probabilities providing the key evidence for a British mother’s conviction for the murder of her two babies. The conviction was later overturned, but three years in prison took its toll—Sally Clark died of acute alcohol intoxication in March of 2007. Mathematicians Leila Schneps and Coralie Colmez use a wide range of examples, from a mid-19th-century dispute over wills that became a signal case in the forensic use of mathematics, to the conviction and subsequent exoneration of Amanda Knox, to show how the improper application of mathematical concepts can mean the difference between walking free and life in prison. The cases discussed include: -The Case of Amanda Knox (How a judge’s denial of a second DNA test may have destroyed a chance to reveal the truth about Meredith Kercher’s murder) -The Case of Joe Sneed (How a fabricated probability framed a son for his parents’ grisly killing) -The Case of Sally Clark (How multiplying non-independent probabilities landed an innocent mother in jail for the murder of her children) -The Case of Janet Collins (How unjustified estimates combined with a miscalculated probability convicted an innocent couple of violent robbery) A colorful narrative of mathematical abuse featuring such characters as Charles Ponzi, Alfred Dreyfus, Hetty Green, and Oliver Wendell Holmes, Math on Trial shows that legal expertise isn’t everything when it comes to proving a man innocent.



Journal of Lie Theory

Journal of Lie Theory Author
ISBN-10 UOM:39015072602231
Release 2007
Pages
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Journal of Lie Theory has been writing in one form or another for most of life. You can find so many inspiration from Journal of Lie Theory also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Journal of Lie Theory book for free.



Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society Author
ISBN-10 UOM:49015003188621
Release 2000
Pages
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Bulletin of the American Mathematical Society has been writing in one form or another for most of life. You can find so many inspiration from Bulletin of the American Mathematical Society also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Bulletin of the American Mathematical Society book for free.