The Grothendieck Theory of Dessins D'Enfants
The Grothendieck Theory of Dessins D'Enfants

Author: Leila Schneps

Publisher: Cambridge University Press

Published: 1994-07-28

Total Pages: 384

ISBN-13: 9780521478212

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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action on the Dessins and on certain fundamental groups of moduli spaces was initiated by Alexander Grothendieck in his unpublished Esquisse d'un Programme, and developed by many of the mathematicians who have contributed to this volume.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

Publisher: Springer

Published: 2016-03-23

Total Pages: 264

ISBN-13: 3319247115

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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.

Davenport–Zannier Polynomials and Dessins d’Enfants
Davenport–Zannier Polynomials and Dessins d’Enfants

Author: Nikolai M. Adrianov

Publisher: American Mathematical Soc.

Published: 2020-06-29

Total Pages: 202

ISBN-13: 1470456346

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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.

Author:

Publisher: Odile Jacob

Published:

Total Pages: 323

ISBN-13: 273817969X

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

Author: Frank Neumann

Publisher: Springer Nature

Published: 2020-09-26

Total Pages: 240

ISBN-13: 3030517950

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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.

It From Bit or Bit From It?
It From Bit or Bit From It?

Author: Anthony Aguirre

Publisher: Springer

Published: 2015-02-03

Total Pages: 240

ISBN-13: 3319129465

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The essays in this book look at the question of whether physics can be based on information, or – as John Wheeler phrased it – whether we can get “It from Bit”. They are based on the prize-winning essays submitted to the FQXi essay competition of the same name, which drew over 180 entries. The eighteen contributions address topics as diverse as quantum foundations, entropy conservation, nonlinear logic and countable spacetime. Together they provide stimulating reading for all physics aficionados interested in the possible role(s) of information in the laws of nature. The Foundational Questions Institute, FQXi, catalyzes, supports, and disseminates research on questions at the foundations of physics and cosmology, particularly new frontiers and innovative ideas integral to a deep understanding of reality, but unlikely to be supported by conventional funding sources.

Art Therapy
Art Therapy

Author: National Institute of Mental Health (U.S.)

Publisher:

Published: 1974

Total Pages: 160

ISBN-13:

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The bibliography on art therapy presents 1175 citations (1940-1973) drawn from searches of the medical indexes, computer systems of the National Library of Medicine and the National Institute of Mental Health, other bibliographies, Centre International de Documentation Concernant les Expressions Plastiques, and the American Journal of Art Therapy. References are listed alphabetically by author within 11 categories of art therapy: as a profession, with specifically diagnosed individuals (including psychotic, cognitively impaired and physically disabled persons), in institutions, in groups, with children and adolescents, in diagnosis and evaluation, case studies, techniques and methods, personality studies of artists, research, and miscellaneous (including films and bibliographies). Listings include information on author, title, source, pagination, date and sometimes a brief annotation. An author index is provided. (CL).

A History of Child Psychoanalysis
A History of Child Psychoanalysis

Author: Pierre Geissmann

Publisher: Routledge

Published: 2005-11-10

Total Pages: 321

ISBN-13: 1134830025

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Child analysis has occupied a special place in the history of psychoanalysis because of the challenges it poses to practitioners and the clashes it has provoked among its advocates. Since the early days in Vienna under Sigmund Freud child psychoanalysts have tried to comprehend and make comprehensible to others the psychosomatic troubles of childhood and to adapt clinical and therapeutic approaches to all the stages of development of the baby, the child, the adolescent and the young adult. Claudine and Pierre Geissmann trace the history and development of child analysis over the last century and assess the contributions made by pioneers of the discipline, whose efforts to expand its theoretical foundations led to conflict between schools of thought, most notably to the rift between Anna Freud and Melanie Klein. Now taught and practised widely in Europe, the USA and South America, child and adolescent psychoanalysis is unique in the insight it gives into the psychological aspects of child development, and in the therapeutic benefits it can bring both to the child and its family.

Symmetries in Graphs, Maps, and Polytopes
Symmetries in Graphs, Maps, and Polytopes

Author: Jozef Širáň

Publisher: Springer

Published: 2016-03-26

Total Pages: 330

ISBN-13: 3319304518

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This volume contains seventeen of the best papers delivered at the SIGMAP Workshop 2014, representing the most recent advances in the field of symmetries of discrete objects and structures, with a particular emphasis on connections between maps, Riemann surfaces and dessins d’enfant.Providing the global community of researchers in the field with the opportunity to gather, converse and present their newest findings and advances, the Symmetries In Graphs, Maps, and Polytopes Workshop 2014 was the fifth in a series of workshops. The initial workshop, organized by Steve Wilson in Flagstaff, Arizona, in 1998, was followed in 2002 and 2006 by two meetings held in Aveiro, Portugal, organized by Antonio Breda d’Azevedo, and a fourth workshop held in Oaxaca, Mexico, organized by Isabel Hubard in 2010.This book should appeal to both specialists and those seeking a broad overview of what is happening in the area of symmetries of discrete objects and structures.iv>