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Automorphic Forms Beyond $mathrm {GL}_2$
  • Language: en
  • Pages: 199

Automorphic Forms Beyond $mathrm {GL}_2$

The Langlands program has been a very active and central field in mathematics ever since its conception over 50 years ago. It connects number theory, representation theory and arithmetic geometry, and other fields in a profound way. There are nevertheless very few expository accounts beyond the GL(2) case. This book features expository accounts of several topics on automorphic forms on higher rank groups, including rationality questions on unitary group, theta lifts and their applications to Arthur's conjectures, quaternionic modular forms, and automorphic forms over functions fields and their applications to inverse Galois problems. It is based on the lecture notes prepared for the twenty-fifth Arizona Winter School on “Automorphic Forms beyond GL(2)”, held March 5–9, 2022, at the University of Arizona in Tucson. The speakers were Ellen Eischen, Wee Teck Gan, Aaron Pollack, and Zhiwei Yun. The exposition of the book is in a style accessible to students entering the field. Advanced graduate students as well as researchers will find this a valuable introduction to various important and very active research areas.

Directions in Number Theory
  • Language: en
  • Pages: 351

Directions in Number Theory

  • Type: Book
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  • Published: 2016-09-26
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  • Publisher: Springer

Exploring the interplay between deep theory and intricate computation, this volume is a compilation of research and survey papers in number theory, written by members of the Women In Numbers (WIN) network, principally by the collaborative research groups formed at Women In Numbers 3, a conference at the Banff International Research Station in Banff, Alberta, on April 21-25, 2014. The papers span a wide range of research areas: arithmetic geometry; analytic number theory; algebraic number theory; and applications to coding and cryptography. The WIN conference series began in 2008, with the aim of strengthening the research careers of female number theorists. The series introduced a novel rese...

Bric-a-brac
  • Language: en
  • Pages: 328

Bric-a-brac

  • Type: Book
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  • Published: 2002
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  • Publisher: Unknown

None

Mathematical Reviews
  • Language: en
  • Pages: 1164

Mathematical Reviews

  • Type: Book
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  • Published: 2007
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  • Publisher: Unknown

None

Illustrating Mathematics
  • Language: en
  • Pages: 90

Illustrating Mathematics

This book is for anyone who wishes to illustrate their mathematical ideas, which in our experience means everyone. It is organized by material, rather than by subject area, and purposefully emphasizes the process of creating things, including discussions of failures that occurred along the way. As a result, the reader can learn from the experiences of those who came before, and will be inspired to create their own illustrations. Topics illustrated within include prime numbers, fractals, the Klein bottle, Borromean rings, tilings, space-filling curves, knot theory, billiards, complex dynamics, algebraic surfaces, groups and prime ideals, the Riemann zeta function, quadratic fields, hyperbolic space, and hyperbolic 3-manifolds. Everyone who opens this book should find a type of mathematics with which they identify. Each contributor explains the mathematics behind their illustration at an accessible level, so that all readers can appreciate the beauty of both the object itself and the mathematics behind it.

Abstracts of Papers Presented to the American Mathematical Society
  • Language: en
  • Pages: 692

Abstracts of Papers Presented to the American Mathematical Society

  • Type: Book
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  • Published: 2003
  • -
  • Publisher: Unknown

None

Official Congressional Directory
  • Language: en
  • Pages: 1044

Official Congressional Directory

  • Type: Book
  • -
  • Published: 1964
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  • Publisher: Unknown

None

Register of Officers and Agents, Civil, Military and Naval [etc]
  • Language: en
  • Pages: 1158

Register of Officers and Agents, Civil, Military and Naval [etc]

  • Type: Book
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  • Published: 1887
  • -
  • Publisher: Unknown

None

Official Register
  • Language: en
  • Pages: 1158

Official Register

  • Type: Book
  • -
  • Published: 1888
  • -
  • Publisher: Unknown

None

Handy Royal atlas of modern geography
  • Language: en
  • Pages: 300

Handy Royal atlas of modern geography

  • Type: Book
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  • Published: 1868
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  • Publisher: Unknown

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