Some Applications of Motivic Integration to the Representation Theory of P-adic Groups

Some Applications of Motivic Integration to the Representation Theory of P-adic Groups

Author: Julia Gordon

Publisher:

Published: 2003

Total Pages: 140

ISBN-13:

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Book Synopsis Some Applications of Motivic Integration to the Representation Theory of P-adic Groups by : Julia Gordon

Download or read book Some Applications of Motivic Integration to the Representation Theory of P-adic Groups written by Julia Gordon and published by . This book was released on 2003 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Ottawa Lectures on Admissible Representations of Reductive P-adic Groups

Ottawa Lectures on Admissible Representations of Reductive P-adic Groups

Author: Clifton Cunningham

Publisher: American Mathematical Soc.

Published: 2009-01-01

Total Pages: 217

ISBN-13: 0821885944

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Book Synopsis Ottawa Lectures on Admissible Representations of Reductive P-adic Groups by : Clifton Cunningham

Download or read book Ottawa Lectures on Admissible Representations of Reductive P-adic Groups written by Clifton Cunningham and published by American Mathematical Soc.. This book was released on 2009-01-01 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 1

Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 1

Author: Raf Cluckers

Publisher: Cambridge University Press

Published: 2011-09-22

Total Pages: 347

ISBN-13: 1139499793

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Assembles different theories of motivic integration for the first time, providing all of the necessary background for graduate students and researchers from algebraic geometry, model theory and number theory. In a rapidly-evolving area of research, this volume and Volume 2, which unite the several viewpoints and applications, will prove invaluable.


Book Synopsis Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 1 by : Raf Cluckers

Download or read book Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 1 written by Raf Cluckers and published by Cambridge University Press. This book was released on 2011-09-22 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assembles different theories of motivic integration for the first time, providing all of the necessary background for graduate students and researchers from algebraic geometry, model theory and number theory. In a rapidly-evolving area of research, this volume and Volume 2, which unite the several viewpoints and applications, will prove invaluable.


Dissertation Abstracts International

Dissertation Abstracts International

Author:

Publisher:

Published: 2003

Total Pages: 768

ISBN-13:

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Book Synopsis Dissertation Abstracts International by :

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2003 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Sheaves and Functions Modulo p

Sheaves and Functions Modulo p

Author: Lenny Taelman

Publisher: Cambridge University Press

Published: 2016

Total Pages: 132

ISBN-13: 1316502597

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Describes how to use coherent sheaves and cohomology to prove combinatorial and number theoretical identities over finite fields.


Book Synopsis Sheaves and Functions Modulo p by : Lenny Taelman

Download or read book Sheaves and Functions Modulo p written by Lenny Taelman and published by Cambridge University Press. This book was released on 2016 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes how to use coherent sheaves and cohomology to prove combinatorial and number theoretical identities over finite fields.


Dynamics and Analytic Number Theory

Dynamics and Analytic Number Theory

Author: Dzmitry Badziahin

Publisher: Cambridge University Press

Published: 2016-11-10

Total Pages: 341

ISBN-13: 1107552370

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Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.


Book Synopsis Dynamics and Analytic Number Theory by : Dzmitry Badziahin

Download or read book Dynamics and Analytic Number Theory written by Dzmitry Badziahin and published by Cambridge University Press. This book was released on 2016-11-10 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.


Recent Advances in Algebraic Geometry

Recent Advances in Algebraic Geometry

Author: Christopher D. Hacon

Publisher: Cambridge University Press

Published: 2015-01-15

Total Pages: 451

ISBN-13: 110764755X

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A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.


Book Synopsis Recent Advances in Algebraic Geometry by : Christopher D. Hacon

Download or read book Recent Advances in Algebraic Geometry written by Christopher D. Hacon and published by Cambridge University Press. This book was released on 2015-01-15 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.


Graded Rings and Graded Grothendieck Groups

Graded Rings and Graded Grothendieck Groups

Author: Roozbeh Hazrat

Publisher: Cambridge University Press

Published: 2016-05-26

Total Pages: 244

ISBN-13: 1316727947

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This study of graded rings includes the first systematic account of the graded Grothendieck group, a powerful and crucial invariant in algebra which has recently been adopted to classify the Leavitt path algebras. The book begins with a concise introduction to the theory of graded rings and then focuses in more detail on Grothendieck groups, Morita theory, Picard groups and K-theory. The author extends known results in the ungraded case to the graded setting and gathers together important results which are currently scattered throughout the literature. The book is suitable for advanced undergraduate and graduate students, as well as researchers in ring theory.


Book Synopsis Graded Rings and Graded Grothendieck Groups by : Roozbeh Hazrat

Download or read book Graded Rings and Graded Grothendieck Groups written by Roozbeh Hazrat and published by Cambridge University Press. This book was released on 2016-05-26 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study of graded rings includes the first systematic account of the graded Grothendieck group, a powerful and crucial invariant in algebra which has recently been adopted to classify the Leavitt path algebras. The book begins with a concise introduction to the theory of graded rings and then focuses in more detail on Grothendieck groups, Morita theory, Picard groups and K-theory. The author extends known results in the ungraded case to the graded setting and gathers together important results which are currently scattered throughout the literature. The book is suitable for advanced undergraduate and graduate students, as well as researchers in ring theory.


Surveys in Combinatorics 2015

Surveys in Combinatorics 2015

Author: Artur Czumaj

Publisher: Cambridge University Press

Published: 2015-07-02

Total Pages: 333

ISBN-13: 1107462509

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This book contains surveys of recent important developments in combinatorics covering a wide range of areas in the field.


Book Synopsis Surveys in Combinatorics 2015 by : Artur Czumaj

Download or read book Surveys in Combinatorics 2015 written by Artur Czumaj and published by Cambridge University Press. This book was released on 2015-07-02 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains surveys of recent important developments in combinatorics covering a wide range of areas in the field.


The Bloch–Kato Conjecture for the Riemann Zeta Function

The Bloch–Kato Conjecture for the Riemann Zeta Function

Author: John Coates

Publisher: Cambridge University Press

Published: 2015-03-19

Total Pages: 317

ISBN-13: 1316241300

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There are still many arithmetic mysteries surrounding the values of the Riemann zeta function at the odd positive integers greater than one. For example, the matter of their irrationality, let alone transcendence, remains largely unknown. However, by extending ideas of Garland, Borel proved that these values are related to the higher K-theory of the ring of integers. Shortly afterwards, Bloch and Kato proposed a 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. This vital result from motivic cohomology was subsequently proven by Huber, Kings, and Wildeshaus. Bringing together key results from K-theory, motivic cohomology, and Iwasawa theory, this book is the first to give a complete proof, accessible to graduate students, of the Bloch–Kato conjecture for odd positive integers. It includes a new account of the results from motivic cohomology by Huber and Kings.


Book Synopsis The Bloch–Kato Conjecture for the Riemann Zeta Function by : John Coates

Download or read book The Bloch–Kato Conjecture for the Riemann Zeta Function written by John Coates and published by Cambridge University Press. This book was released on 2015-03-19 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are still many arithmetic mysteries surrounding the values of the Riemann zeta function at the odd positive integers greater than one. For example, the matter of their irrationality, let alone transcendence, remains largely unknown. However, by extending ideas of Garland, Borel proved that these values are related to the higher K-theory of the ring of integers. Shortly afterwards, Bloch and Kato proposed a 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. This vital result from motivic cohomology was subsequently proven by Huber, Kings, and Wildeshaus. Bringing together key results from K-theory, motivic cohomology, and Iwasawa theory, this book is the first to give a complete proof, accessible to graduate students, of the Bloch–Kato conjecture for odd positive integers. It includes a new account of the results from motivic cohomology by Huber and Kings.