Welcome to our book review site go-pdf.online!
You may have to Search all our reviewed books and magazines, click the sign up button below to create a free account.
Homotopy Theory: Relations with Algebraic Geometry, Group Cohomology, and Algebraic $K$-Theory
As part of its series of Emphasis Years in Mathematics, Northwestern University hosted an International Conference on Algebraic Topology. The purpose of the conference was to develop new connections between homotopy theory and other areas of mathematics. This proceedings volume grew out of that event. Topics discussed include algebraic geometry, cohomology of groups, algebraic $K$-theory, and $\mathbb{A 1$ homotopy theory. Among the contributors to the volume were Alejandro Adem,Ralph L. Cohen, Jean-Louis Loday, and many others. The book is suitable for graduate students and research mathematicians interested in homotopy theory and its relationship to other areas of mathematics.
Representation Theory and Beyond
This volume contains the proceedings of the Workshop and 18th International Conference on Representations of Algebras (ICRA 2018) held from August 8–17, 2018, in Prague, Czech Republic. It presents several themes of contemporary representation theory together with some new tools, such as stable ∞ ∞-categories, stable derivators, and contramodules. In the first part, expanded lecture notes of four courses delivered at the workshop are presented, covering the representation theory of finite sets with correspondences, geometric theory of quiver Grassmannians, recent applications of contramodules to tilting theory, as well as symmetries in the representation theory over an abstract stable homotopy theory. The second part consists of six more-advanced papers based on plenary talks of the conference, presenting selected topics from contemporary representation theory: recollements and purity, maximal green sequences, cohomological Hall algebras, Hochschild cohomology of associative algebras, cohomology of local selfinjective algebras, and the higher Auslander–Reiten theory studied via homotopy theory.
Model Categories
Model categories are used as a tool for inverting certain maps in a category in a controllable manner. They are useful in diverse areas of mathematics. This book offers a comprehensive study of the relationship between a model category and its homotopy category. It develops the theory of model categories, giving a development of the main examples.
Judge Lynch!
Judge Lynch Holds Court! That was the banner headline in a Posey County, Indiana newspaper after seven African American men were murdered by a white mob during October, 1878. The paper described the lynch mob as consisting of two to three hundred of the countys best men. Then the newspaper editor, who had been an eyewitness to the murders on the campus of the Posey County courthouse, called for the, dark pall of oblivion, to cover the crimes. Although it comes too late to help the victims and their families, perhaps their story will at last come to light and help prevent some contemporary or future injustice.
The Integral Manifolds of the Three Body Problem
The phase space of the spatial three-body problem is an open subset in R18. Holding the ten classical integrals of energu, center of mass, linear and angular momentum fixed defines an eight dimensional manifold. For fixed nonzero angular momentum, the topology of this manifold depends only on the energy. This volume computes the homology of this manifold for all energy values. This table of homology shows that for negative energy, the integral manifolds undergo seven bifurcations. Four of these are the well-known bifurcations due to central configurations, and three are due to "critical points at infinity". This disproves Birkhoffs conjecture that the bifurcations occur only at central configurations.
Introduction to Abelian Model Structures and Gorenstein Homological Dimensions
Introduction to Abelian Model Structures and Gorenstein Homological Dimensions provides a starting point to study the relationship between homological and homotopical algebra, a very active branch of mathematics. The book shows how to obtain new model structures in homological algebra by constructing a pair of compatible complete cotorsion pairs related to a specific homological dimension and then applying the Hovey Correspondence to generate an abelian model structure. The first part of the book introduces the definitions and notations of the universal constructions most often used in category theory. The next part presents a proof of the Eklof and Trlifaj theorem in Grothedieck categories ...
From Categories to Homotopy Theory
Bridge the gap between category theory and its applications in homotopy theory with this guide for graduate students and researchers.
The Caul - A Trilogy
He is the Truthseeker, and his voice cries justice. In a world suffocating with lies and deception, those rare individuals who unfailingly hear the pleas of justice stand out. Jim Markham is one of those individuals, and he shines as a beacon of truth, allowing the scores of people his life touches to find their way along shadowed paths to a brilliant moral light. Truth and Deception is the riveting sequel to Born with a Mission, the second volume of the epic trilogy, The Caul, wherein Jim Markham becomes a seasoned Agent of both the Air Force Office of Special Investigations and the Army Criminal Investigations Division, confronting chaos and disorder, and ultimately rises as a Polygraph Sc...
Distinguishing the Church
As the Protestant Reformers did, so twenty-first-century Christians also recognize the need to distinguish between the true and false church. Thus, they find themselves looking closely at the modern church to determine whether it is a true and faithful church. Today’s Christians know that proper criteria are necessary to discern the true church. The most common criteria, wrote John Calvin, are that the Word of God is rightly preached and heard and that the sacraments are administered according to Christ’s institution. Moreover, Martin Luther said that suffering is a telltale sign of God’s people, while Anabaptist and Reformed Christians included discipline among the distinguishing mark...
Interactions between Homotopy Theory and Algebra
This book is based on talks presented at the Summer School on Interactions between Homotopy theory and Algebra held at the University of Chicago in the summer of 2004. The goal of this book is to create a resource for background and for current directions of research related to deep connections between homotopy theory and algebra, including algebraic geometry, commutative algebra, and representation theory. The articles in this book are aimed at the audience of beginning researchers with varied mathematical backgrounds and have been written with both the quality of exposition and the accessibility to novices in mind.
