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Galois Covers, Grothendieck-Teichmüller Theory and Dessins d'Enfants

2020-09-26 Mathematics
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Release : 2020-09-26
Genre : Mathematics
Kind : eBook
Book Rating : 950/5 ( reviews)

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Book Synopsis Galois Covers, Grothendieck-Teichmüller Theory and Dessins d'Enfants by : Frank Neumann

Download or read book Galois Covers, Grothendieck-Teichmüller Theory and Dessins d'Enfants written by Frank Neumann. This book was released on 2020-09-26. Available in PDF, EPUB and Kindle. Book excerpt: This book presents original peer-reviewed contributions from the London Mathematical Society (LMS) Midlands Regional Meeting and Workshop on 'Galois Covers, Grothendieck-Teichmüller Theory and Dessinsd'Enfants', which took place at the University of Leicester, UK, from 4 to 7 June, 2018. Within the theme of the workshop, the collected articles cover a broad range of topics and explore exciting new links between algebraic geometry, representation theory, group theory, number theory and algebraic topology. The book combines research and overview articles by prominent international researchers and provides a valuable resource for researchers and students alike.

The Grothendieck Theory of Dessins D'Enfants

1994-07-28 Mathematics
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Release : 1994-07-28
Genre : Mathematics
Kind : eBook
Book Rating : 212/5 ( reviews)

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Book Synopsis The Grothendieck Theory of Dessins D'Enfants by : Leila Schneps

Download or read book The Grothendieck Theory of Dessins D'Enfants written by Leila Schneps. This book was released on 1994-07-28. Available in PDF, EPUB and Kindle. Book excerpt: 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action on the Dessins and on certain fundamental groups of moduli spaces was initiated by Alexander Grothendieck in his unpublished Esquisse d'un Programme, and developed by many of the mathematicians who have contributed to this volume.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.

Knots and Primes

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Book Rating : 559/5 ( reviews)

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Book Synopsis Knots and Primes by : Masanori Morishita

Download or read book Knots and Primes written by Masanori Morishita. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

Algebra and Galois Theories

2020-07-13 Mathematics
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Release : 2020-07-13
Genre : Mathematics
Kind : eBook
Book Rating : 965/5 ( reviews)

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Book Synopsis Algebra and Galois Theories by : Régine Douady

Download or read book Algebra and Galois Theories written by Régine Douady. This book was released on 2020-07-13. Available in PDF, EPUB and Kindle. Book excerpt: Galois theory has such close analogies with the theory of coverings that algebraists use a geometric language to speak of field extensions, while topologists speak of "Galois coverings". This book endeavors to develop these theories in a parallel way, starting with that of coverings, which better allows the reader to make images. The authors chose a plan that emphasizes this parallelism. The intention is to allow to transfer to the algebraic framework of Galois theory the geometric intuition that one can have in the context of coverings. This book is aimed at graduate students and mathematicians curious about a non-exclusively algebraic view of Galois theory.

Introduction to Compact Riemann Surfaces and Dessins D'Enfants

2012 Mathematics
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Release : 2012
Genre : Mathematics
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Book Rating : 632/5 ( reviews)

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Book Synopsis Introduction to Compact Riemann Surfaces and Dessins D'Enfants by : Ernesto Girondo

Download or read book Introduction to Compact Riemann Surfaces and Dessins D'Enfants written by Ernesto Girondo. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: An elementary account of the theory of compact Riemann surfaces and an introduction to the Belyi-Grothendieck theory of dessins d'enfants.

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