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Author: Uwe Jannsen Publisher: American Mathematical Soc. ISBN: 9780821827994 Category : Mathematics Languages : en Pages : 696
Book Description
Motives were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, to play the role of the missing rational cohomology, and to provide a blueprint for proving Weil's conjectures about the zeta function of a variety over a finite field. Over the last ten years or so, researchers in various areas--Hodge theory, algebraic $K$-theory, polylogarithms, automorphic forms, $L$-functions, $ell$-adic representations, trigonometric sums, and algebraic cycles--have discovered that an enlarged (and in part conjectural) theory of ``mixed'' motives indicates and explains phenomena appearing in each area. Thus the theory holds the potential of enriching and unifying these areas. These two volumes contain the revised texts of nearly all the lectures presented at the AMS-IMS-SIAM Joint Summer Research Conference on Motives, held in Seattle, in 1991. A number of related works are also included, making for a total of forty-seven papers, from general introductions to specialized surveys to research papers.
Author: Uwe Jannsen Publisher: American Mathematical Soc. ISBN: 9780821827994 Category : Mathematics Languages : en Pages : 696
Book Description
Motives were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, to play the role of the missing rational cohomology, and to provide a blueprint for proving Weil's conjectures about the zeta function of a variety over a finite field. Over the last ten years or so, researchers in various areas--Hodge theory, algebraic $K$-theory, polylogarithms, automorphic forms, $L$-functions, $ell$-adic representations, trigonometric sums, and algebraic cycles--have discovered that an enlarged (and in part conjectural) theory of ``mixed'' motives indicates and explains phenomena appearing in each area. Thus the theory holds the potential of enriching and unifying these areas. These two volumes contain the revised texts of nearly all the lectures presented at the AMS-IMS-SIAM Joint Summer Research Conference on Motives, held in Seattle, in 1991. A number of related works are also included, making for a total of forty-seven papers, from general introductions to specialized surveys to research papers.
Author: Patrick M. Lencioni Publisher: John Wiley & Sons ISBN: 1119600456 Category : Business & Economics Languages : en Pages : 205
Book Description
Shay was still angry but shrugged nonchalantly as if to say, it’s not that big of a deal. “So, what am I wrong about?” “You’re not going to want to hear this, but I have to tell you anyway.” Liam paused before finishing. “You might be working hard, but you’re not doing it for the company.” “What the hell does that mean?” Shay wanted to know. Knowing that his adversary might punch him for what he was about to say, Liam responded. “You’re doing it for yourself.” New York Times best-selling author Patrick Lencioni has written a dozen books that focus on how leaders can build teams and lead organizations. In The Motive, he shifts his attention toward helping them understand the importance of why they’re leading in the first place. In what may be his edgiest page-turner to date, Lencioni thrusts his readers into a day-long conversation between rival CEOs. Shay Davis is the CEO of Golden Gate Alarm, who, after just a year in his role, is beginning to worry about his job and is desperate to figure out how to turn things around. With nowhere else to turn, Shay receives some hard-to-swallow advice from the most unlikely and unwanted source—Liam Alcott, CEO of a more successful security company and his most hated opponent. Lencioni uses unexpected plot twists and crisp dialogue to take us on a journey that culminates in a resolution that is as unexpected as it is enlightening. As he does in his other books, he then provides a straightforward summary of the lessons from the fable, combining a clear explanation of his theory with practical advice to help executives examine their true motivation for leading. In addition to provoking readers to honestly assess themselves, Lencioni presents action steps for changing their approach in five key areas. In doing so, he helps leaders avoid the pitfalls that stifle their organizations and even hurt the people they are meant to serve.
Author: Edward T. Welch Publisher: ISBN: 9780875526928 Category : Religion Languages : en Pages : 44
Book Description
People are complex. There is behavior that we see and motives that we don't. Behind the ?what we do? of our lives is the ?why we do it.' Edward T. Welch challenges us to peer more closely into the ?why.' He insightfully reveals that, according to God's Word, the heart is the source of all human motivation. Our hearts contain motives such as Pleasure, Meaning, Comfort, Success, Freedom, Respect, Happiness, Power, Control, Peace, Reputation, Love/Intimacy Welch encourages us to ask questions to discover some of our deeper motives: ?What do you hope for, want, crave? ?What do you fear? What do you worry about? ?When do you say, ?If only
Author: Jacob P. Murre Publisher: American Mathematical Soc. ISBN: 082189434X Category : Mathematics Languages : en Pages : 163
Book Description
The theory of motives was created by Grothendieck in the 1960s as he searched for a universal cohomology theory for algebraic varieties. The theory of pure motives is well established as far as the construction is concerned. Pure motives are expected to h
Author: Luis Álvarez-Cónsul Publisher: American Mathematical Soc. ISBN: 1470422476 Category : Mathematics Languages : en Pages : 302
Book Description
This volume contains the proceedings of the International Research Workshop on Periods and Motives--A Modern Perspective on Renormalization, held from July 2-6, 2012, at the Instituto de Ciencias Matemáticas, Madrid, Spain. Feynman amplitudes are integrals attached to Feynman diagrams by means of Feynman rules. They form a central part of perturbative quantum field theory, where they appear as coefficients of power series expansions of probability amplitudes for physical processes. The efficient computation of Feynman amplitudes is pivotal for theoretical predictions in particle physics. Periods are numbers computed as integrals of algebraic differential forms over topological cycles on algebraic varieties. The term originated from the period of a periodic elliptic function, which can be computed as an elliptic integral. Motives emerged from Grothendieck's "universal cohomology theory", where they describe an intermediate step between algebraic varieties and their linear invariants (cohomology). The theory of motives provides a conceptual framework for the study of periods. In recent work, a beautiful relation between Feynman amplitudes, motives and periods has emerged. The articles provide an exciting panoramic view on recent developments in this fascinating and fruitful interaction between pure mathematics and modern theoretical physics.
Author: Ron Cripe Publisher: WestBow Press ISBN: 1449771041 Category : Religion Languages : en Pages : 202
Book Description
Motives: When Selfish Isnt Sinful will help you learn how to identify and use your selfish inner motives to find freedom from sin with complete and lasting fulfillment for your life. Discover the difference between your surface motives and your inner motives, and how to become more aware of them. Learn how the natural way of satisfying your inner motives will always result in emptiness and addiction to sin, while the spiritual way will always result in fulfillment and freedom from sin. Discover how trusting God to satisfy the deepest desires of your heart can give you the happiness you always wanted. Learn how to use the spiritual way to satisfy your inner motives, so you can experience all the pleasure, security, love, worth, wisdom, beauty, and purpose for your life you were always meant to have. See your deepest inner motives as the key to the best life you could ever live.
Author: Gonçalo Tabuada Publisher: American Mathematical Soc. ISBN: 1470423979 Category : Mathematics Languages : en Pages : 127
Book Description
The theory of motives began in the early 1960s when Grothendieck envisioned the existence of a "universal cohomology theory of algebraic varieties". The theory of noncommutative motives is more recent. It began in the 1980s when the Moscow school (Beilinson, Bondal, Kapranov, Manin, and others) began the study of algebraic varieties via their derived categories of coherent sheaves, and continued in the 2000s when Kontsevich conjectured the existence of a "universal invariant of noncommutative algebraic varieties". This book, prefaced by Yuri I. Manin, gives a rigorous overview of some of the main advances in the theory of noncommutative motives. It is divided into three main parts. The first part, which is of independent interest, is devoted to the study of DG categories from a homotopical viewpoint. The second part, written with an emphasis on examples and applications, covers the theory of noncommutative pure motives, noncommutative standard conjectures, noncommutative motivic Galois groups, and also the relations between these notions and their commutative counterparts. The last part is devoted to the theory of noncommutative mixed motives. The rigorous formalization of this latter theory requires the language of Grothendieck derivators, which, for the reader's convenience, is revised in a brief appendix.
Author: Marc Levine Publisher: American Mathematical Soc. ISBN: 0821807854 Category : Mathematics Languages : en Pages : 529
Book Description
This book combines foundational constructions in the theory of motives and results relating motivic cohomology to more explicit constructions. Prerequisite for understanding the work is a basic background in algebraic geometry. The author constructs and describes a triangulated category of mixed motives over an arbitrary base scheme. Most of the classical constructions of cohomology are described in the motivic setting, including Chern classes from higher $K$-theory, push-forward for proper maps, Riemann-Roch, duality, as well as an associated motivic homology, Borel-Moore homology and cohomology with compact supports.
Author: Bruno Kahn Publisher: Cambridge University Press ISBN: 1108574912 Category : Mathematics Languages : en Pages : 217
Book Description
The amount of mathematics invented for number-theoretic reasons is impressive. It includes much of complex analysis, the re-foundation of algebraic geometry on commutative algebra, group cohomology, homological algebra, and the theory of motives. Zeta and L-functions sit at the meeting point of all these theories and have played a profound role in shaping the evolution of number theory. This book presents a big picture of zeta and L-functions and the complex theories surrounding them, combining standard material with results and perspectives that are not made explicit elsewhere in the literature. Particular attention is paid to the development of the ideas surrounding zeta and L-functions, using quotes from original sources and comments throughout the book, pointing the reader towards the relevant history. Based on an advanced course given at Jussieu in 2013, it is an ideal introduction for graduate students and researchers to this fascinating story.
Author: Uwe Jannsen
Author: Uwe Jannsen
Author: Patrick M. Lencioni
Author: Edward T. Welch
Author: Jacob P. Murre
Author: Luis Álvarez-Cónsul
Author: Jan Nagel
Author: Ron Cripe
Author: Gonçalo Tabuada
Author: Marc Levine
Author: Bruno Kahn