Galois Groups and Fundamental Groups - 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 Groups and Fundamental Groups write by Tamás Szamuely. This book was released on 2009-07-16. Galois Groups and Fundamental Groups available in PDF, EPUB and Kindle. Assuming little technical background, the author presents the strong analogies between these two concepts starting at an elementary level.
Galois Groups and Fundamental Groups
Galois Groups and Fundamental Groups - 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 Groups and Fundamental Groups write by Tamás Szamuely. This book was released on 2009-07-16. Galois Groups and Fundamental Groups available in PDF, EPUB and Kindle. Ever since the concepts of Galois groups in algebra and fundamental groups in topology emerged during the nineteenth century, mathematicians have known of the strong analogies between the two concepts. This book presents the connection starting at an elementary level, showing how the judicious use of algebraic geometry gives access to the powerful interplay between algebra and topology that underpins much modern research in geometry and number theory. Assuming as little technical background as possible, the book starts with basic algebraic and topological concepts, but already presented from the modern viewpoint advocated by Grothendieck. This enables a systematic yet accessible development of the theories of fundamental groups of algebraic curves, fundamental groups of schemes, and Tannakian fundamental groups. The connection between fundamental groups and linear differential equations is also developed at increasing levels of generality. Key applications and recent results, for example on the inverse Galois problem, are given throughout.
Galois Groups and Fundamental Groups
Galois Groups and Fundamental Groups - 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 Groups and Fundamental Groups write by Leila Schneps. This book was released on 2003-07-21. Galois Groups and Fundamental Groups available in PDF, EPUB and Kindle. Table of contents
Groups as Galois Groups
Groups as Galois Groups - 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 Groups as Galois Groups write by Helmut Völklein. This book was released on 1996-08-13. Groups as Galois Groups available in PDF, EPUB and Kindle. Develops the mathematical background and recent results on the Inverse Galois Problem.
Galois Groups over ?
Galois Groups over ? - 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 Groups over ? write by Y. Ihara. This book was released on 2012-12-06. Galois Groups over ? available in PDF, EPUB and Kindle. This volume is the offspring of a week-long workshop on "Galois groups over Q and related topics," which was held at the Mathematical Sciences Research Institute during the week March 23-27, 1987. The organizing committee consisted of Kenneth Ribet (chairman), Yasutaka Ihara, and Jean-Pierre Serre. The conference focused on three principal themes: 1. Extensions of Q with finite simple Galois groups. 2. Galois actions on fundamental groups, nilpotent extensions of Q arising from Fermat curves, and the interplay between Gauss sums and cyclotomic units. 3. Representations of Gal(Q/Q) with values in GL(2)j deformations and connections with modular forms. Here is a summary of the conference program: • G. Anderson: "Gauss sums, circular units and the simplex" • G. Anderson and Y. Ihara: "Galois actions on 11"1 ( ••• ) and higher circular units" • D. Blasius: "Maass forms and Galois representations" • P. Deligne: "Galois action on 1I"1(P-{0, 1, oo}) and Hodge analogue" • W. Feit: "Some Galois groups over number fields" • Y. Ihara: "Arithmetic aspect of Galois actions on 1I"1(P - {O, 1, oo})" - survey talk • U. Jannsen: "Galois cohomology of i-adic representations" • B. Matzat: - "Rationality criteria for Galois extensions" - "How to construct polynomials with Galois group Mll over Q" • B. Mazur: "Deforming GL(2) Galois representations" • K. Ribet: "Lowering the level of modular representations of Gal( Q/ Q)" • J-P. Serre: - Introductory Lecture - "Degree 2 modular representations of Gal(Q/Q)" • J.
