galois representations in arithmetic algebraic geometry london mathematical society lecture note series

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Galois Representations In Arithmetic Algebraic Geometry

Author : A. J. Scholl
ISBN : 0521644194
Genre : Mathematics
File Size : 33. 8 MB
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Conference proceedings based on the 1996 LMS Durham Symposium 'Galois representations in arithmetic algebraic geometry'.

Iwasawa Theory 2012

Author : Thanasis Bouganis
ISBN : 9783642552458
Genre : Mathematics
File Size : 46. 41 MB
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This is the fifth conference in a bi-annual series, following conferences in Besancon, Limoges, Irsee and Toronto. The meeting aims to bring together different strands of research in and closely related to the area of Iwasawa theory. During the week before the conference in a kind of summer school a series of preparatory lectures for young mathematicians was provided as an introduction to Iwasawa theory. Iwasawa theory is a modern and powerful branch of number theory and can be traced back to the Japanese mathematician Kenkichi Iwasawa, who introduced the systematic study of Z_p-extensions and p-adic L-functions, concentrating on the case of ideal class groups. Later this would be generalized to elliptic curves. Over the last few decades considerable progress has been made in automorphic Iwasawa theory, e.g. the proof of the Main Conjecture for GL(2) by Kato and Skinner & Urban. Techniques such as Hida’s theory of p-adic modular forms and big Galois representations play a crucial part. Also a noncommutative Iwasawa theory of arbitrary p-adic Lie extensions has been developed. This volume aims to present a snapshot of the state of art of Iwasawa theory as of 2012. In particular it offers an introduction to Iwasawa theory (based on a preparatory course by Chris Wuthrich) and a survey of the proof of Skinner & Urban (based on a lecture course by Xin Wan).

Geometry Of Moduli

Author : Jan Arthur Christophersen
ISBN : 9783319948812
Genre : MATHEMATICS
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Primes And Knots

Author : Toshitake Kohno
ISBN : 9780821834565
Genre : Mathematics
File Size : 39. 39 MB
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This volume deals systematically with connections between algebraic number theory and low-dimensional topology. Of particular note are various inspiring interactions between number theory and low-dimensional topology discussed in most papers in this volume. For example, quite interesting are the use of arithmetic methods in knot theory and the use of topological methods in Galois theory. Also, expository papers in both number theory and topology included in the volume can help a wide group of readers to understand both fields as well as the interesting analogies and relations that bring them together.

Arithmetic Algebraic Geometry

Author : Brian David Conrad
ISBN : 0821886916
Genre : Mathematics
File Size : 54. 59 MB
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Compactifications Of Pel Type Shimura Varieties And Kuga Families With Ordinary Loci

Author : Lan Kai-wen
ISBN : 9789813207349
Genre : Mathematics
File Size : 22. 7 MB
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This book is a comprehensive treatise on the partial toroidal and minimal compactifications of the ordinary loci of PEL-type Shimura varieties and Kuga families, and on the canonical and subcanonical extensions of automorphic bundles. The results in this book serve as the logical foundation of several recent developments in the theory of p-adic automorphic forms; and of the author's work with Harris, Taylor, and Thorne on the construction of Galois representations without any polarizability conditions, which is a major breakthrough in the Langlands program. This book is important for active researchers and graduate students who need to understand the above-mentioned recent works, and is written with such users of the theory in mind, providing plenty of explanations and background materials, which should be helpful for people working in similar areas. It also contains precise internal and external references, and an index of notation and terminologies. These are useful for readers to quickly locate materials they need.

Compositio Mathematica

Author :
ISBN : UCSD:31822036926442
Genre : Mathematics
File Size : 39. 21 MB
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Journal Of The Ramanujan Mathematical Society

Author :
ISBN : UOM:39015053994870
Genre : Mathematics
File Size : 88. 7 MB
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Arithmetic And Geometry

Author : Luis Dieulefait
ISBN : 9781107462540
Genre : Mathematics
File Size : 64. 50 MB
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The world's leading authorities describe the state of the art in Serre's conjecture and rational points on algebraic varieties.

Recent Advances In Hodge Theory

Author : Matt Kerr
ISBN : 9781107546295
Genre : Mathematics
File Size : 28. 85 MB
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Combines cutting-edge research and expository articles in Hodge theory. An essential reference for graduate students and researchers.

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