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Lecture Notes on Motivic Cohomology

suffices for the development of a satisfactory Motivic Cohomology theory. However, the existence of motives themselves remains conjectural. The;

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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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The Norm Residue Theorem in Motivic Cohomology

motivic cohomology and Chow groups. Although the proof relies on the work of several people, it is credited primarily to Vladimir Voevodsky. The;

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The Norm Residue Theorem in Motivic Cohomology

motivic cohomology and Chow groups. Although the proof relies on the work of several people, it is credited primarily to Vladimir Voevodsky. The;

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Mixed Motives

This book combines foundational constructions in the theory of motives and results relating motivic cohomology to more explicit;

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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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Motivic Homotopy Theory and Refined Enumerative Geometry

This volume contains the proceedings of the Workshop on Motivic Homotopy Theory and Refined Enumerative Geometry, held from May 14-18, 2018;

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Local Cohomology and Its Applications

This volume collects presentations from the international workshop on local cohomology held in Guanajuato, Mexico, including expanded;

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

The original goal that ultimately led to this volume was the construction of motivic cohomology theory, whose existence was conjectured;

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Cohomology of Groups and Algebraic K-theory

Groups - Oliver Baues; Lectures on the Cohomology of Groups - Kenneth S. Brown; A Brief Introduction to Algebraic K-Theory - Daniel R. Grayson;

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Stable Stems

over $mathbb C$. He uses the motivic May spectral sequence to compute the cohomology of the motivic Steenrod algebra over $mathbb C$ through the 70;

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Central Simple Algebras and Galois Cohomology

, and the starting point of current research in motivic cohomology theory by Voevodsky, Suslin, Rost and others. Assuming only a solid;

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Central Simple Algebras and Galois Cohomology

, and the starting point of current research in motivic cohomology theory by Voevodsky, Suslin, Rost and others. Assuming only a solid;

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K-Theory

These notes are based on the course of lectures I gave at Harvard in the fall of 1964. They constitute a self-contained account of vector;

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K-Theory

These notes are based on the course of lectures I gave at Harvard in the fall of 1964. They constitute a self-contained account of vector;

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Modules and Group Algebras

The notes in this volume were written as a part of a Nachdiplom course that I gave at the ETH in the summer semester of 1995. The aim of my;

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Representation Theory and Beyond

derivators, and contramodules. In the first part, expanded lecture notes of four courses delivered at the workshop are presented, covering the;

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Triangulated Categories of Mixed Motives

etale cohomology and Ayoub's solution to Voevodsky's cross functors theory. We also thoroughly develop the theory of motivic complexes with;

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Many Variations of Mahler Measures

presents the modern definition of motivic cohomology and regulator maps, as well as Deligne-Beilinson cohomology. The text includes many exercises;

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Characteristic Classes. (AM-76), Volume 76

characteristic classes, and provide an account of Bernoulli numbers. Based on lecture notes of John Milnor, which first appeared at Princeton University;

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Variations on a Theorem of Tate

Let $F$ be a number field. These notes explore Galois-theoretic, automorphic, and motivic analogues and refinements of Tate's basic result;

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Notes on Crystalline Cohomology. (MN-21)

Written by Arthur Ogus on the basis of notes from Pierre Berthelot's seminar on crystalline cohomology at Princeton University in the;

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Motivic Integration And Its Interactions With Model Theory A

The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics;

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K-Theory

, motivic cohomology, motivic homotopy theory, Chow groups of varieties, Euler class theory, equivariant $K$-theory as well as classical $K$-theory;

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Motivic Integration And Its Interactions With Model Theory A

The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics;

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Lecture Notes On Local Rings

The content in Chapter 1-3 is a fairly standard one-semester course on local rings with the goal to reach the fact that a regular local;

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Etale Cohomology and the Weil Conjecture

Some years ago a conference on l-adic cohomology in Oberwolfach was held with the aim of reaching an understanding of Deligne's proof;

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