The Grothendieck Theory of Dessins D'Enfants - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Grothendieck Theory of Dessins D'Enfants write by Leila Schneps. This book was released on 1994-07-28. The Grothendieck Theory of Dessins D'Enfants available in PDF, EPUB and Kindle. 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action on the Dessins and on certain fundamental groups of moduli spaces was initiated by Alexander Grothendieck in his unpublished Esquisse d'un Programme, and developed by many of the mathematicians who have contributed to this volume.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.
Introduction to Compact Riemann Surfaces and Dessins D'Enfants
Introduction to Compact Riemann Surfaces and Dessins D'Enfants - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Compact Riemann Surfaces and Dessins D'Enfants write by Ernesto Girondo. This book was released on 2012. Introduction to Compact Riemann Surfaces and Dessins D'Enfants available in PDF, EPUB and Kindle. An elementary account of the theory of compact Riemann surfaces and an introduction to the Belyi-Grothendieck theory of dessins d'enfants.
Dessins d'Enfants on Riemann Surfaces
Dessins d'Enfants on Riemann Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dessins d'Enfants on Riemann Surfaces write by Gareth A. Jones. This book was released on 2016-03-23. Dessins d'Enfants on Riemann Surfaces available in PDF, EPUB and Kindle. 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.
Galois Covers, Grothendieck-Teichmüller Theory and Dessins d'Enfants
Galois Covers, Grothendieck-Teichmüller Theory and Dessins d'Enfants - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Galois Covers, Grothendieck-Teichmüller Theory and Dessins d'Enfants write by Frank Neumann. This book was released on 2020-09-26. Galois Covers, Grothendieck-Teichmüller Theory and Dessins d'Enfants available in PDF, EPUB and Kindle. 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.
Davenport–Zannier Polynomials and Dessins d’Enfants
Davenport–Zannier Polynomials and Dessins d’Enfants - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Davenport–Zannier Polynomials and Dessins d’Enfants write by Nikolai M. Adrianov. This book was released on 2020-06-29. Davenport–Zannier Polynomials and Dessins d’Enfants available in PDF, EPUB and Kindle. The French expression “dessins d'enfants” means children's drawings. This term was coined by the great French mathematician Alexandre Grothendieck in order to denominate a method of pictorial representation of some highly interesting classes of polynomials and rational functions. The polynomials studied in this book take their origin in number theory. The authors show how, by drawing simple pictures, one can prove some long-standing conjectures and formulate new ones. The theory presented here touches upon many different fields of mathematics. The major part of the book is quite elementary and is easily accessible to an undergraduate student. The less elementary parts, such as Galois theory or group representations and their characters, would need a more profound knowledge of mathematics. The reader may either take the basic facts of these theories for granted or use our book as a motivation and a first approach to these subjects.
