# Search Results for "the-goodwillie-tower-and-the-ehp-sequence-memoirs-of-the-american-mathematical-society"

## The Goodwillie Tower and the EHP Sequence

• Author: Mark Behrens
• Publisher: American Mathematical Soc.
• ISBN: 0821869027
• Category: Mathematics
• Page: 90
• View: 9577
The author studies the interaction between the EHP sequence and the Goodwillie tower of the identity evaluated at spheres at the prime $2$. Both give rise to spectral sequences (the EHP spectral sequence and the Goodwillie spectral sequence, respectively) which compute the unstable homotopy groups of spheres. He relates the Goodwillie filtration to the $P$ map, and the Goodwillie differentials to the $H$ map. Furthermore, he studies an iterated Atiyah-Hirzebruch spectral sequence approach to the homotopy of the layers of the Goodwillie tower of the identity on spheres. He shows that differentials in these spectral sequences give rise to differentials in the EHP spectral sequence. He uses his theory to recompute the $2$-primary unstable stems through the Toda range (up to the $19$-stem). He also studies the homological behavior of the interaction between the EHP sequence and the Goodwillie tower of the identity. This homological analysis involves the introduction of Dyer-Lashof-like operations associated to M. Ching's operad structure on the derivatives of the identity. These operations act on the mod $2$ stable homology of the Goodwillie layers of any functor from spaces to spaces.

## Issues in General and Specialized Mathematics Research: 2013 Edition

• Author: N.A
• Publisher: ScholarlyEditions
• ISBN: 1490106928
• Category: Mathematics
• Page: 1215
• View: 3802
Issues in General and Specialized Mathematics Research: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about General Mathematics. The editors have built Issues in General and Specialized Mathematics Research: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about General Mathematics in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in General and Specialized Mathematics Research: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

## Hopf Algebras and Congruence Subgroups

• Author: Yorck Sommerhäuser,Yongchang Zhu
• Publisher: American Mathematical Soc.
• ISBN: 0821869132
• Category: Mathematics
• Page: 134
• View: 6454
The authors prove that the kernel of the action of the modular group on the center of a semisimple factorizable Hopf algebra is a congruence subgroup whenever this action is linear. If the action is only projective, they show that the projective kernel is a congruence subgroup. To do this, they introduce a class of generalized Frobenius-Schur indicators and endow it with an action of the modular group that is compatible with the original one.

## Theory of Algebraic Functions of One Variable

• Author: Richard Dedekind,Heinrich Weber
• Publisher: American Mathematical Soc.
• ISBN: 0821890344
• Category: Mathematics
• Page: 152
• View: 4265
This book is the first English translation of the classic long paper Theorie der algebraischen Functionen einer Veranderlichen (Theory of algebraic functions of one variable), published by Dedekind and Weber in 1882. The translation has been enriched by a Translator's Introduction that includes historical background, and also by extensive commentary embedded in the translation itself. The translation, introduction, and commentary provide the first easy access to this important paper for a wide mathematical audience: students, historians of mathematics, and professional mathematicians. Why is the Dedekind-Weber paper important? In the 1850s, Riemann initiated a revolution in algebraic geometry by interpreting algebraic curves as surfaces covering the sphere. He obtained deep and striking results in pure algebra by intuitive arguments about surfaces and their topology. However, Riemann's arguments were not rigorous, and they remained in limbo until 1882, when Dedekind and Weber put them on a sound foundation. The key to this breakthrough was to develop the theory of algebraic functions in analogy with Dedekind's theory of algebraic numbers, where the concept of ideal plays a central role. By introducing such concepts into the theory of algebraic curves, Dedekind and Weber paved the way for modern algebraic geometry.

## Elements of Homotopy Theory

• Publisher: Springer Science & Business Media
• ISBN: 1461263182
• Category: Mathematics
• Page: 746
• View: 6750
As the title suggests, this book is concerned with the elementary portion of the subject of homotopy theory. It is assumed that the reader is familiar with the fundamental group and with singular homology theory, including the Universal Coefficient and Kiinneth Theorems. Some acquaintance with manifolds and Poincare duality is desirable, but not essential. Anyone who has taught a course in algebraic topology is familiar with the fact that a formidable amount of technical machinery must be introduced and mastered before the simplest applications can be made. This phenomenon is also observable in the more advanced parts of the subject. I have attempted to short-circuit it by making maximal use of elementary methods. This approach entails a leisurely exposition in which brevity and perhaps elegance are sacrificed in favor of concreteness and ease of application. It is my hope that this approach will make homotopy theory accessible to workers in a wide range of other subjects-subjects in which its impact is beginning to be felt. It is a consequence of this approach that the order of development is to a certain extent historical. Indeed, if the order in which the results presented here does not strictly correspond to that in which they were discovered, it nevertheless does correspond to an order in which they might have been discovered had those of us who were working in the area been a little more perspicacious.

## Structure of Rings

• Author: Nathan Jacobson
• Publisher: American Mathematical Soc.
• ISBN: 0821810375
• Category: Algebraic fields
• Page: 299
• View: 3018

## Modern Classical Homotopy Theory

• Author: Jeffrey Strom
• Publisher: American Mathematical Soc.
• ISBN: 0821852868
• Category: Mathematics
• Page: 835
• View: 5684
The core of classical homotopy theory is a body of ideas and theorems that emerged in the 1950s and was later largely codified in the notion of a model category. This core includes the notions of fibration and cofibration; CW complexes; long fiber and cofiber sequences; loop spaces and suspensions; and so on. Brown's representability theorems show that homology and cohomology are also contained in classical homotopy theory. This text develops classical homotopy theory from a modern point of view, meaning that the exposition is informed by the theory of model categories and that homotopy limits and colimits play central roles. The exposition is guided by the principle that it is generally preferable to prove topological results using topology (rather than algebra). The language and basic theory of homotopy limits and colimits make it possible to penetrate deep into the subject with just the rudiments of algebra. The text does reach advanced territory, including the Steenrod algebra, Bott periodicity, localization, the Exponent Theorem of Cohen, Moore, and Neisendorfer, and Miller's Theorem on the Sullivan Conjecture. Thus the reader is given the tools needed to understand and participate in research at (part of) the current frontier of homotopy theory. Proofs are not provided outright. Rather, they are presented in the form of directed problem sets. To the expert, these read as terse proofs; to novices they are challenges that draw them in and help them to thoroughly understand the arguments.

## Recent Advances in Homotopy Theory

• Publisher: Amer Mathematical Society
• ISBN: 9780821841587
• Category: Mathematics
• Page: 82
• View: 4497

## Student Study Guide with Solutions for Vector Calculus, Sixth Edition

• Author: Jerrold E. Marsden,Corey Shanbrom,Paul Tokorcheck
• Publisher: Worth Pub
• ISBN: 9781429231091
• Category: Mathematics
• Page: 227
• View: 3089

## The Everything Resume Book

Create a winning resume that stands out from the crowd

• Author: Nancy Schuman
• Publisher: Simon and Schuster
• ISBN: 1605502049
• Page: 352
• View: 9600
A resume is like the first thirty seconds of a blind date-one with a prospective employer. That's all the time you have to get a hiring authority's attention and-hopefully-an interview. A bad resume will absolutely eliminate you from the competition. Building a strong resume is the single most important step in landing a new job. The Everything Resume Book, 3rd Edition is your one-stop resource for crafting a resume that will highlight your skills and experience to get you the job you want. This hands-on guide offers helpful hints on format and presentation and includes the most up-to-date guidelines for using the Internet in your job search. This completely revised and updated edition includes new information on: Job boards and the best Web resources for job seekers Using resumes as a personal brand The advantages and disadvantages of video resumes Social networking sites in the job search Generation gap issues relating to resumes Resume blogs Bursting with more than 100 sample resumes for a wide range of professions, this guide contains the information you need to command a prospective employer's attention and score that all-important interview.

## How to Prepare Your Curriculum Vitae

• Author: Acy Jackson,Kathleen Geckeis
• Publisher: McGraw Hill Professional
• ISBN: 9780071426268
• Page: 160
• View: 7206
The curriculum vitae, a resume of educational and work background, is essential for undergraduates applying to graduate and professional schools. Now revised and updated, How to Prepare Your Curriculum Vitae helps readers to analyze their academic career and create the best "academic resume" possible. Features: A new chapter on crafting international CVs Sample CVs, including scannable and international Extensive appendix material with a comprehensive list of action verbs and a bibliography of style books and manuals

## The Job Search Solution

The Ultimate System for Finding a Great Job Now!

• Author: Tony Beshara
• Publisher: AMACOM
• ISBN: 0814420001
• Page: 304
• View: 4767
When Dr. Phil's viewers need help turning their job search woes into employment success, he calls in Tony Beshara. One of the most successful placement professionals in the United States, Beshara knows what works and what doesn't. In The Job Search Solution, he outlines the simple yet powerful system that has helped over 100,000 people land jobs they love. Now, in a completely updated second edition, Beshara addresses the major challenges that confront candidates seeking employment today, including advice for readers who have been out of work for a while, were fired from their last job, are looking to change careers, or may be facing discrimination due to age. Featuring interactive exercises, real-life examples, practical Do's and Don'ts, and other essential tools, the new edition reveals how candidates can create a personal "brand" online, communicate with potential employers via e-mail, and leverage personal stories throughout the interview process. Both practical and empowering, The Job Search Solution gives readers the tools they need to get hired in one of the toughest job markets ever.

## The Lin-Ni's Problem for Mean Convex Domains

• Author: Olivier Druet,Frédéric Robert,Juncheng Wei
• Publisher: American Mathematical Soc.
• ISBN: 0821869094
• Category: Mathematics
• Page: 105
• View: 9545
The authors prove some refined asymptotic estimates for positive blow-up solutions to $\Delta u+\epsilon u=n(n-2)u^{\frac{n+2}{n-2}}$ on $\Omega$, $\partial_\nu u=0$ on $\partial\Omega$, $\Omega$ being a smooth bounded domain of $\mathbb{R}^n$, $n\geq 3$. In particular, they show that concentration can occur only on boundary points with nonpositive mean curvature when $n=3$ or $n\geq 7$. As a direct consequence, they prove the validity of the Lin-Ni's conjecture in dimension $n=3$ and $n\geq 7$ for mean convex domains and with bounded energy. Recent examples by Wang-Wei-Yan show that the bound on the energy is a necessary condition.

## Wittgenstein: From Mysticism to Ordinary Language

A Study of Viennese Positivism and the Thought of Ludwig Wittgenstein

• Author: Russell Nieli
• Publisher: SUNY Press
• ISBN: 1438414714
• Category: Philosophy
• Page: 261
• View: 4092
Wittgenstein: From Mysticism to Ordinary Language presents the Tractatus as a work of mystic theology intended to direct the reader to a transcendental plane from which human existence can be viewed from the divine perspective. More than any other work on Wittgenstein, this study integrates text material with personal biographical information, especially information dealing with his spiritual and psychological states. The result is a fresh, coherent, and extremely illuminating picture of Wittgenstein, successfully avoiding the pitfalls of either psychological reductionism or unfaithfulness to the text. It is bold without being reckless, passionately argued without being doctrinaire, and makes a very powerful and persuasive case for its main thesis.

## Real-resumes for Legal and Paralegal Jobs

• Author: Anne McKinney
• Publisher: PREP Publishing
• ISBN: 9781885288387
• Page: 181
• View: 2741
Those who seek legal and paralegal jobs will find this book to be a rich resource. No matter what type of legal or paralegal work is sought, the reader will find outstanding samples of resumes and covers used by real people to obtain legal and paralegal jobs. Resumes and covers letters are included which will help newly minted lawyers or paralegals find their first jobs in their field. There are also sample resumes and cover letters which will be useful to the most experienced lawyers and paralegals in the profession. A bonus of this book is that it includes samples of paperwork involved in getting federal government jobs: specialized resumes and the federal resumix as well as the write-ups for the Knowledge, Skills and Abilities (KSAs) which are often required for government positions. This book will show legal-industry professionals how to maximize their career potential, get federal positions, and change fields if they want to.

## How to Write the Perfect Personal Statement

• Author: Mark Alan Stewart
• Publisher: Peterson's
• ISBN: 076893673X
• Category: Study Aids
• Page: 128
• View: 2803
The admissions process for law, business, medical, or graduate school is more competitive today than ever before. Peterson's How to Write the Perfect Personal Statement provides essential tips on how to create and write personal statements that respond to the questions that appear on the applications of many popular graduate schools. The guide also offers great insight on whom to approach for letters of recommendation and how to make the best impression at the interview. How to Write the Perfect Personal Statement features 30 actual samples of successful application essays as well as recommendations from admissions officers on winning strategies that have guaranteed students admission into business, law, medical, and graduate school. How to Write the Perfect Personal Statement offers step-by-step instructions on style, format, concept, and theme; preparation strategies for the personal interview; tactics on whom to ask to write letters of recommendation; top 10 DOs and DON'Ts for writing the essay; tips from admission officials from Columbia, Michigan, and other high-profile schools; and much more!

## Elliptic Curves, Hilbert Modular Forms and Galois Deformations

• Author: Laurent Berger,Gebhard Böckle,Lassina Dembélé,Mladen Dimitrov,Tim Dokchitser,John Voight
• Publisher: Springer Science & Business Media
• ISBN: 3034806183
• Category: Mathematics
• Page: 249
• View: 911
The notes in this volume correspond to advanced courses held at the Centre de Recerca Matemàtica as part of the research program in Arithmetic Geometry in the 2009-2010 academic year. The notes by Laurent Berger provide an introduction to p-adic Galois representations and Fontaine rings, which are especially useful for describing many local deformation rings at p that arise naturally in Galois deformation theory. The notes by Gebhard Böckle offer a comprehensive course on Galois deformation theory, starting from the foundational results of Mazur and discussing in detail the theory of pseudo-representations and their deformations, local deformations at places l ≠ p and local deformations at p which are flat. In the last section,the results of Böckle and Kisin on presentations of global deformation rings over local ones are discussed. The notes by Mladen Dimitrov present the basics of the arithmetic theory of Hilbert modular forms and varieties, with an emphasis on the study of the images of the attached Galois representations, on modularity lifting theorems over totally real number fields, and on the cohomology of Hilbert modular varieties with integral coefficients. The notes by Lassina Dembélé and John Voight describe methods for performing explicit computations in spaces of Hilbert modular forms. These methods depend on the Jacquet-Langlands correspondence and on computations in spaces of quaternionic modular forms, both for the case of definite and indefinite quaternion algebras. Several examples are given, and applications to modularity of Galois representations are discussed. The notes by Tim Dokchitser describe the proof, obtained by the author in a joint project with Vladimir Dokchitser, of the parity conjecture for elliptic curves over number fields under the assumption of finiteness of the Tate-Shafarevich group. The statement of the Birch and Swinnerton-Dyer conjecture is included, as well as a detailed study of local and global root numbers of elliptic curves and their classification.

## Navigating Graduate School and Beyond

• Author: Sundar A. Christopher
• Publisher: John Wiley & Sons
• ISBN: 1118671651
• Category: Science
• Page: 158
• View: 2130

## Life After Law

Finding Work You Love with the J.D. You Have

• Author: Liz Brown
• Publisher: Routledge
• ISBN: 1351861476
• Page: 240
• View: 6108