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Etale Cohomology Theory (Revised Edition)

Etale cohomology is an important branch in arithmetic geometry. This book covers the main materials in SGA 1, SGA 4, SGA 4 1/2 and SGA 5 on;

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Etale Cohomology and the Weil Conjecture

short a manner as possible. We intended especially to provide a complete introduction to etale and l-adic cohomology theory including the;

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Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104

Chevalley groups, and algebraic geometry. Of particular interest are the discussions concerning the Adams Conjecture, K-theories of finite fields;

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Étale Cohomology

. In the early 1960s, he and M. Artin introduced etale cohomology in order to extend the methods of sheaf-theoretic cohomology from complex;

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Etale Cohomology (PMS-33), Volume 33

. In the early 1960s, he and M. Artin introduced etale cohomology in order to extend the methods of sheaf-theoretic cohomology from complex;

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The Norm Residue Theorem in Motivic Cohomology

in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of etale cohomology and its relation to;

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The Norm Residue Theorem in Motivic Cohomology

in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of etale cohomology and its relation to;

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Oeuvres - Collected Papers IV

, cohomology and covolumes), L2-cohomology of symmetric or locally symmetric spaces, and to the Oppenheim conjecture. Other publications include;

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The Bloch-Kato Conjecture for the Riemann Zeta Function

Tamagawa number-type conjecture for these values, and showed that it would follow from a result in motivic cohomology which was unknown at the time;

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Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107

field. To achieve this, the author uses etale intersection cohomology, and detailed information on representations of Weyl groups.;

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Group Cohomology & Algebraic Cycles

Group cohomology reveals a deep relationship between algebra and topology, and its recent applications have provided important insights;

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Lecture Notes on Motivic Cohomology

, and Chow groups. The book is divided into lectures, grouped in six parts. The first part presents the definition of Motivic Cohomology, based;

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Transcendental Aspects of Algebraic Cycles

)homology, motives and motivic cohomology and Hodge theoretic invariants of cycles. Among the topics treated are: cycle spaces, Chow topology;

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Rigid Cohomology

cohomology. It is a p-adic Weil cohomology suitable for computing Zeta and L-functions for algebraic varieties on finite fields. Moreover, it;

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Rigid Cohomology over Laurent Series Fields

starting point for graduate students looking to explore aspects of the classical theory of rigid cohomology and with an eye towards future research;

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Cambridge Studies in Advanced Mathematics Cohomology of Drinfeld Modular Varieties

Cohomology of Drinfeld Modular Varieties provides an introduction, in two volumes, both to this subject and to the Langlands correspondence;

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Cambridge Studies in Advanced Mathematics Cohomology of Drinfeld Modular Varieties

Cohomology of Drinfeld Modular Varieties provides an introduction, in two volumes, both to this subject and to the Langlands correspondence;

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Rational Points on Varieties

rapidly. Among the topics included are Brauer groups, faithfully flat descent, algebraic groups, torsors, etale and fppf cohomology, the Weil;

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Cohomology of Drinfeld Modular Varieties, Part 1, Geometry, Counting of Points and Local Harmonic Analysis

subject and to the Langlands correspondence for function fields. These varieties are the analogues for function fields of the Shimura varieties;

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Cohomology of Drinfeld Modular Varieties, Part 1, Geometry, Counting of Points and Local Harmonic Analysis

subject and to the Langlands correspondence for function fields. These varieties are the analogues for function fields of the Shimura varieties;

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Differential Function Spectra, the Differential Becker-Gottlieb Transfer, and Applications to Differential Algebraic $K$-Theory

of modules over such a ring to the differential algebraic K-theory. We also treat some of the foundational aspects ofdifferential cohomology;

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Cohomology of Groups and Algebraic K-theory

Rosenthal; Higher K-Theory of Algebraic Integers and the Cohomology of Arithmetic Groups - Christophe Soule (Notes by Marco Varisco).;

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The Langlands Classification and Irreducible Characters for Real Reductive Groups

representations of a reductive algebraic group over a local field in terms of the complex dual group and the Weil-Deligne group. For p-adic fields, this;

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Infinite Loop Spaces (AM-90), Volume 90

work for researchers and students. Among the major topics covered are generalized cohomology theories and spectra; infinite-loop space machines;

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Weil's Conjecture for Function Fields

topology, it introduces a theory of factorization homology in the setting -adic sheaves. Using this theory, Dennis Gaitsgory and Jacob Lurie;

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Weil's Conjecture for Function Fields

topology, it introduces a theory of factorization homology in the setting -adic sheaves. Using this theory, Dennis Gaitsgory and Jacob Lurie;

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Cycles, Transfers, and Motivic Homology Theories. (AM-143), Volume 143

called bivariant cycle cohomology is constructed. The fifth and last paper in the volume gives a proof of the fact that bivariant cycle;

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