K-Theory, Arithmetic and Geometry

Seminar, Moscow University, 1984-1986
Author: Yurij I. Manin
Publisher: Springer
ISBN: 3540480161
Category: Mathematics
Page: 404
View: 8595

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This volume of research papers is an outgrowth of the Manin Seminar at Moscow University, devoted to K-theory, homological algebra and algebraic geometry. The main topics discussed include additive K-theory, cyclic cohomology, mixed Hodge structures, theory of Virasoro and Neveu-Schwarz algebras.

A Century of Mathematics in America

Author: Peter L. Duren,Richard Askey,Uta C. Merzbach
Publisher: American Mathematical Soc.
ISBN: 9780821801307
Category: Mathematics
Page: 585
View: 7138

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The first section of the book deals with some of the influential mathematics departments in the United States. Functioning as centers of research and training, these departments played a major role in shaping the mathematical life in this country. The second section deals with an extraordinary conference held at Princeton in 1946 to commemorate the university's bicentennial. The influence of women in American mathematics, the burgeoning of differential geometry in the last 50 years, and discussions of the work of von Karman and Weiner are among other topics covered. To download free chapters of this book, click here.


Author: Uwe Jannsen,Steven L. Kleiman,Jean-Pierre Serre
Publisher: American Mathematical Soc.
ISBN: 0821827979
Category: Mathematics
Page: 747
View: 7381

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'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. This is one of two volumes containing 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: N.A
Publisher: N.A
Category: Mathematics
Page: N.A
View: 7887

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Invariance Theory

The Heat Equation and the Atiyah-Singer Index Theorem
Author: Peter B. Gilkey
Publisher: CRC Press
ISBN: 1351436422
Category: Mathematics
Page: 536
View: 8374

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This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The author uses invariance theory to identify the integrand of the index theorem for classical elliptic complexes with the invariants of the heat equation.

Reviews in Number Theory, 1984-96

As Printed in Mathematical Reviews
Author: N.A
Publisher: Amer Mathematical Society
ISBN: 9780821809372
Category: Mathematics
Page: 1012
View: 3827

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These six volumes include approximately 20,000 reviews of items in number theory that appeared in Mathematical Reviews between 1984 and 1996. This is the third such set of volumes in number theory. The first was edited by W.J. LeVeque and included reviews from 1940-1972; the second was edited by R.K. Guy and appeared in 1984.

Geometrische Methoden in der Invariantentheorie

Author: Hanspeter Kraft
Publisher: Springer-Verlag
ISBN: 3663101436
Category: Technology & Engineering
Page: 308
View: 8701

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In dieser Einführung geht es vor allem um die geometrischen Aspekte der Invariantentheorie. Die hauptsächliche Motivation bildet das Studium von Klassifikations- und Normalformenproblemen, die auch historisch der Ausgangspunkt für invariantentheoretische Untersuchungen waren.