Homotopy Theory Via Algebraic Geometry And Group Representations PDF Download
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| Author | : Mark E. Mahowald |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 394 |
| Release | : 1998 |
| Genre | : Mathematics |
| ISBN | : 0821808052 |
Download Homotopy Theory via Algebraic Geometry and Group Representations Book in PDF, ePub and Kindle
The academic year 1996-97 was designated as a special year in Algebraic Topology at Northwestern University (Evanston, IL). In addition to guest lecturers and special courses, an international conference was held entitled "Current trends in algebraic topology with applications to algebraic geometry and physics". The series of plenary lectures included in this volume indicate the great breadth of the conference and the lively interaction that took place among various areas of mathematics. Original research papers were submitted, and all submissions were refereed to the usual journal standards.
| Author | : Paul Gregory Goerss |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 520 |
| Release | : 2004 |
| Genre | : Mathematics |
| ISBN | : 0821832859 |
Download Homotopy Theory: Relations with Algebraic Geometry, Group Cohomology, and Algebraic $K$-Theory Book in PDF, ePub and Kindle
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.
| Author | : Luchezar L. Avramov |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 352 |
| Release | : 2007 |
| Genre | : Mathematics |
| ISBN | : 0821838148 |
Download Interactions between Homotopy Theory and Algebra Book in PDF, ePub and Kindle
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.
| Author | : |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 507 |
| Release | : 2004 |
| Genre | : Homotopy theory |
| ISBN | : 9780821856819 |
Download Homotopy Theory: Relations with Algebraic Geometry, Group Cohomology, and Algebraic K -Theory Book in PDF, ePub and Kindle
| Author | : Donald M. Davis |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 65 |
| Release | : 2002 |
| Genre | : Mathematics |
| ISBN | : 0821829874 |
Download From Representation Theory to Homotopy Groups Book in PDF, ePub and Kindle
A formula for the odd-primary v1-periodic homotopy groups of a finite H-space in terms of its K-theory and Adams operations has been obtained by Bousfield. This work applys this theorem to give explicit determinations of the v1-periodic homotopy groups of (E8,5) and (E8,3), thus completing the determination of all odd-primary v1-periodic homotopy groups of all compact simple Lie groups, a project suggested by Mimura in 1989.
| Author | : Neil Chriss |
| Publisher | : Birkhauser |
| Total Pages | : 495 |
| Release | : 1997 |
| Genre | : Mathematics |
| ISBN | : 0817637923 |
Download Representation Theory and Complex Geometry Book in PDF, ePub and Kindle
This volume provides an overview of modern advances in representation theory from a geometric standpoint. The techniques developed are quite general and can be applied to other areas such as quantum groups, affine Lie groups, and quantum field theory.
| Author | : Paul Selick |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 220 |
| Release | : 2008 |
| Genre | : Mathematics |
| ISBN | : 9780821844366 |
Download Introduction to Homotopy Theory Book in PDF, ePub and Kindle
Offers a summary for students and non-specialists who are interested in learning the basics of algebraic topology. This book covers fibrations and cofibrations, Hurewicz and cellular approximation theorems, topics in classical homotopy theory, simplicial sets, fiber bundles, Hopf algebras, and generalized homology and cohomology operations.
| Author | : David Barnes |
| Publisher | : Cambridge University Press |
| Total Pages | : 432 |
| Release | : 2020-03-26 |
| Genre | : Mathematics |
| ISBN | : 1108672671 |
Download Foundations of Stable Homotopy Theory Book in PDF, ePub and Kindle
The beginning graduate student in homotopy theory is confronted with a vast literature on spectra that is scattered across books, articles and decades. There is much folklore but very few easy entry points. This comprehensive introduction to stable homotopy theory changes that. It presents the foundations of the subject together in one place for the first time, from the motivating phenomena to the modern theory, at a level suitable for those with only a first course in algebraic topology. Starting from stable homotopy groups and (co)homology theories, the authors study the most important categories of spectra and the stable homotopy category, before moving on to computational aspects and more advanced topics such as monoidal structures, localisations and chromatic homotopy theory. The appendix containing essential facts on model categories, the numerous examples and the suggestions for further reading make this a friendly introduction to an often daunting subject.
| Author | : Jon F. Carlson |
| Publisher | : Springer |
| Total Pages | : 493 |
| Release | : 2018-10-04 |
| Genre | : Mathematics |
| ISBN | : 3319940333 |
Download Geometric and Topological Aspects of the Representation Theory of Finite Groups Book in PDF, ePub and Kindle
These proceedings comprise two workshops celebrating the accomplishments of David J. Benson on the occasion of his sixtieth birthday. The papers presented at the meetings were representative of the many mathematical subjects he has worked on, with an emphasis on group prepresentations and cohomology. The first workshop was titled "Groups, Representations, and Cohomology" and held from June 22 to June 27, 2015 at Sabhal Mòr Ostaig on the Isle of Skye, Scotland. The second was a combination of a summer school and workshop on the subject of "Geometric Methods in the Representation Theory of Finite Groups" and took place at the Pacific Institute for the Mathematical Sciences at the University of British Columbia in Vancouver from July 27 to August 5, 2016. The contents of the volume include a composite of both summer school material and workshop-derived survey articles on geometric and topological aspects of the representation theory of finite groups. The mission of the annually sponsored Summer Schools is to train and draw new students, and help Ph.D students transition to independent research.
| Author | : Jaume Aguade |
| Publisher | : Springer |
| Total Pages | : 339 |
| Release | : 2006-11-15 |
| Genre | : Mathematics |
| ISBN | : 3540467726 |
Download Algebraic Topology Book in PDF, ePub and Kindle
The papers in this collection, all fully refereed, original papers, reflect many aspects of recent significant advances in homotopy theory and group cohomology. From the Contents: A. Adem: On the geometry and cohomology of finite simple groups.- D.J. Benson: Resolutions and Poincar duality for finite groups.- C. Broto and S. Zarati: On sub-A*-algebras of H*V.- M.J. Hopkins, N.J. Kuhn, D.C. Ravenel: Morava K-theories of classifying spaces and generalized characters for finite groups.- K. Ishiguro: Classifying spaces of compact simple lie groups and p-tori.- A.T. Lundell: Concise tables of James numbers and some homotopyof classical Lie groups and associated homogeneous spaces.- J.R. Martino: Anexample of a stable splitting: the classifying space of the 4-dim unipotent group.- J.E. McClure, L. Smith: On the homotopy uniqueness of BU(2) at the prime 2.- G. Mislin: Cohomologically central elements and fusion in groups.
