Galois Covers, Grothendieck-Teichmuller Theory and Dessins d'Enfants: Interactions between Geometry, Topology, Number Theory and Algebra, Leicester, UK, June 2018

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 Dessins d'Enfants, held at the University of Leicester, UK, in 2018. It explores new connections between algebraic geometry, representation theory, group theory, number theory, and algebraic topology, offering a valuable resource for researchers and students.

Format: Paperback / softback
Length: 240 pages
Publication date: 28 September 2021
Publisher: Springer Nature Switzerland AG

This book is a captivating collection of original peer-reviewed contributions from the London Mathematical Society (LMS) Midlands Regional Meeting and Workshop on Galois Covers, Grothendieck-Teichmüller Theory, and Dessins d'Enfants, which took place at the University of Leicester, UK, from June 4 to 7, 2018. The workshop's theme, "Connections and Collaborations," brought together experts from various fields to explore fascinating new connections between algebraic geometry, representation theory, group theory, number theory, and algebraic topology.

The collected articles in this book cover a wide range of topics and showcase exciting interdisciplinary collaborations. The authors, who are prominent international researchers, have contributed both research and overview articles, making this a valuable resource for both researchers and students alike.

Algebraic geometry plays a central role in this book, as it provides a framework for studying the properties of algebraic structures and their relationships. The articles explore various aspects of algebraic geometry, including moduli spaces, algebraic varieties, and schemes. They also discuss the applications of algebraic geometry in fields such as number theory, representation theory, and mathematical physics.

Representation theory is another key area of focus in this book. The articles explore the representation theory of groups, algebras, and other mathematical structures. They discuss the construction of representations, the study of automorphisms and homomorphisms, and the applications of representation theory in fields such as quantum mechanics and mathematical biology.

Group theory is also explored in depth in this book. The articles discuss the structure and properties of groups, including finite groups, Lie groups, and symmetric groups. They also explore the applications of group theory in fields such as cryptography, computer science, and mathematical physics.

Number theory is another area that is extensively covered in this book. The articles discuss the theory of numbers, including modular arithmetic, Diophantine equations, and the Riemann hypothesis. They also explore the applications of number theory in fields such as cryptography, computer science, and mathematical physics.

Algebraic topology is another field that is explored in this book. The articles discuss the topology of algebraic structures, including manifolds, homology theories, and knot theory. They also discuss the applications of algebraic topology in fields such as string theory, cosmology, and mathematical physics.

Overall, this book is a testament to the power of interdisciplinary collaboration and the exciting discoveries that can be made when different fields of mathematics come together. It provides a valuable resource for researchers and students alike, as it showcases the latest developments in algebraic geometry, representation theory, group theory, number theory, and algebraic topology.

Weight: 385g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030517977
Edition number: 1st ed. 2020