Book Description
Displays the intricate interplay between different foundations of non-commutative number theory.
Author : John Coates
Publisher :
Page : 322 pages
File Size : 35,3 MB
Release : 2011
Category : Iwasawa theory
ISBN : 9781139218498
Displays the intricate interplay between different foundations of non-commutative number theory.
Author : John Coates
Publisher : Cambridge University Press
Page : 321 pages
File Size : 36,11 MB
Release : 2011-12-15
Category : Mathematics
ISBN : 1139505653
This book describes the interaction between several key aspects of Galois theory based on Iwasawa theory, fundamental groups and automorphic forms. These ideas encompass a large portion of mainstream number theory and ramifications that are of interest to graduate students and researchers in number theory, algebraic geometry, topology and physics.
Author : David Loeffler
Publisher : Springer
Page : 494 pages
File Size : 31,32 MB
Release : 2017-01-15
Category : Mathematics
ISBN : 3319450328
Celebrating one of the leading figures in contemporary number theory – John H. Coates – on the occasion of his 70th birthday, this collection of contributions covers a range of topics in number theory, concentrating on the arithmetic of elliptic curves, modular forms, and Galois representations. Several of the contributions in this volume were presented at the conference Elliptic Curves, Modular Forms and Iwasawa Theory, held in honour of the 70th birthday of John Coates in Cambridge, March 25-27, 2015. The main unifying theme is Iwasawa theory, a field that John Coates himself has done much to create. This collection is indispensable reading for researchers in Iwasawa theory, and is interesting and valuable for those in many related fields.
Author : Kaïs Ammari
Publisher : Cambridge University Press
Page : 205 pages
File Size : 32,99 MB
Release : 2018
Category : Mathematics
ISBN : 1108412300
The proceedings of a summer school held in 2015 whose theme was long time behavior and control of evolution equations.
Author : Thierry Daudé
Publisher : Cambridge University Press
Page : 381 pages
File Size : 33,76 MB
Release : 2018-01-11
Category : Mathematics
ISBN : 1316649407
Introduction to modern methods for classical and quantum fields in general relativity / Thierry Daudé, Dietrich Häfner, and Jean-Philippe Nicolas -- Geometry of black hole spacetimes / Lars Andersson, Thomas B. Ackdahl, and Pieter Blue -- An introduction to Quantum Field Theory on curved space-times / Christian Gerard -- A minicourse on microlocal analysis for wave propagation / Andras Vasy -- An introduction to conformal geometry and tractor calculus, with a view to applications in general relativity / Sean N. Curry and A. Rod Gover
Author : Anders Claesson
Publisher : Cambridge University Press
Page : 451 pages
File Size : 20,85 MB
Release : 2017-06-30
Category : Mathematics
ISBN : 1108350356
This volume contains nine survey articles which provide expanded accounts of plenary seminars given at the British Combinatorial Conference at the University of Strathclyde in July 2017. This biennial conference is a well-established international event attracting speakers from around the world. Written by internationally recognised experts in the field, these articles represent a timely snapshot of the state of the art in the different areas of combinatorics. Topics covered include the robustness of graph properties, the spt-function of Andrews, switching techniques for edge decompositions of graphs, monotone cellular automata, and applications of relative entropy in additive combinatorics. The book will be useful to researchers and advanced graduate students, primarily in mathematics but also in computer science and statistics.
Author : Grant Walker
Publisher : Cambridge University Press
Page : 371 pages
File Size : 38,74 MB
Release : 2018
Category : Mathematics
ISBN : 1108414486
The first of two volumes covering the Steenrod algebra and its various applications. Suitable as a graduate text.
Author : Grant Walker (Mathematician)
Publisher : Cambridge University Press
Page : 381 pages
File Size : 26,60 MB
Release : 2018
Category : Polynomials
ISBN : 1108414451
This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's 'hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n,F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.
Author : Felix Fischer
Publisher : Cambridge University Press
Page : 306 pages
File Size : 14,74 MB
Release : 2024-06-13
Category : Mathematics
ISBN : 1009490540
This volume contains nine survey articles by the invited speakers of the 30th British Combinatorial Conference, held at Queen Mary University of London in July 2024. Each article provides an overview of recent developments in a current hot research topic in combinatorics. Topics covered include: Latin squares, Erdős covering systems, finite field models, sublinear expanders, cluster expansion, the slice rank polynomial method, and oriented trees and paths in digraphs. The authors are among the world's foremost researchers on their respective topics but their surveys are accessible to nonspecialist readers: they are written clearly with little prior knowledge assumed and with pointers to the wider literature. Taken together these surveys give a snapshot of the research frontier in contemporary combinatorics, helping researchers and graduate students in mathematics and theoretical computer science to keep abreast of the latest developments in the field.
Author : Grant Walker
Publisher : Cambridge University Press
Page : 381 pages
File Size : 21,5 MB
Release : 2017-11-09
Category : Mathematics
ISBN : 1108355927
This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's `hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n, F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.