Part of London Mathematical Society Lecture Note Series
Publication planned for: December 2017
format: Paperback
isbn: 9781316623220
This volume provides state-of-the-art accounts of exciting recent developments in the rapidly-expanding fields of geometric and cohomological group theory. The research articles and surveys collected here demonstrate connections to such diverse areas as geometric and low-dimensional topology, analysis, homological algebra and logic. Topics include various constructions of Thompson-like groups, Wise's theory of special cube complexes, groups with exotic homological properties, the Farrell?Jones assembly conjectures and new applications of Garside structures. Its mixture of surveys and research makes this book an excellent entry point for young researchers as well as a useful reference work for experts in the field. This is the proceedings of the 100th meeting of the London Mathematical Society series of Durham Symposia.
Summarizes the state of the art in geometric and cohomological group theory
A useful introduction to the field for non-experts
Derived from excellent surveys presented at the London Mathematical Society Durham Symposium
Preface Peter Kropholler, Ian Leary, Conchita Martinez-Perez and Brita Nucinkis
Obstructions for subgroups of Thompson's group V Jose Burillo, Sean Cleary and Claas E. Rover
Groups of homological dimension one Ioannis Emmanouil
Braided diagram groups and local similarity groups Daniel S. Farley and Bruce Hughes
On Thompson's group T and algebraic K-theory Ross Geoghegan and Marco Varisco
Special cube complexes Robert Kropholler
A hyperbolic group with a finitely presented subgroup that is not of type FP3 Yash Lodha
The structure of euclidean Artin groups Jon McCammond
Finitely presented groups associated with expanding maps Volodymyr Nekrashevych
On characteristic modules of groups Olympia Talelli
Controlled algebra for simplicial rings and algebraic K-theory Mark Ullmann.
Part of London Mathematical Society Lecture Note Series
Publication planned for: December 2017
format: Multiple copy pack
isbn: 9781108414067
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.
Algebraic and combinatorial treatment of Steenrod algebra
Accessible to those without a background in topology
Largely self-contained with detailed proofs
Part of London Mathematical Society Lecture Note Series
Publication planned for: January 2018
format: Paperback
isbn: 9781316649404
This volume compiles notes from four mini courses given at the summer school on asymptotic analysis in general relativity, held at the Institut Fourier in Grenoble, France. It contains an up-to-date panorama of modern techniques in the asymptotic analysis of classical and quantum fields in general relativity. Accessible to graduate students, these notes gather results that were not previously available in textbooks or monographs and will be of wider interest to researchers in general relativity. The topics of these mini courses are: the geometry of black hole spacetimes; an introduction to quantum field theory on curved spacetimes; conformal geometry and tractor calculus; and microlocal analysis for wave propagation.
Provides an up-to-date view of a field that has seen major developments in recent years
The volume is accessible to graduate students
The book will be of wider interest to researchers in general relativity
1. Introduction to modern methods for classical and quantum fields in general relativity Thierry Daude, Dietrich Hafner and Jean-Philippe Nicolas
2. Geometry of black hole spacetimes Lars Andersson, Thomas Bachdahl and Pieter Blue
3. An introduction to quantum field theory on curved space-times Christian Gerard
4. A Minicourse on microlocal analysis for wave propagation Andras Vasy
5. An introduction to confirmal geometry and tractor calculus, with a view to applications in general relativity Sean N. Curry and A. Rod Gover.
Part of London Mathematical Society Student Texts
Publication planned for: February 2018
format: Hardback
isbn: 9781108421577
A large part of mathematical analysis, both pure and applied, takes place on Polish spaces: topological spaces whose topology can be given by a complete metric. This analysis is not only simpler than in the general case, but, more crucially, contains many important special results. This book provides a detailed account of analysis and measure theory on Polish spaces, including results about spaces of probability measures. Containing more than 200 elementary exercises, it will be a useful resource for advanced mathematical students and also for researchers in mathematical analysis. The book also includes a straightforward and gentle introduction to the theory of optimal transportation, illustrating just how many of the results established earlier in the book play an essential role in the theory.
Includes results that apply to probability theory
Contains a gentle introduction to optimal transportation
Brings together many results previously scattered across different texts