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The Genesis of the Langlands Program

Author : Julia Mueller
Publisher : Cambridge University Press
Page : 451 pages
File Size : 41,21 MB
Release : 2021-08-05
Category : Mathematics
ISBN : 1108710948

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A step-by-step guide to Langlands' early work leading up the Langlands Program for mathematicians and advanced students.

The Genesis of the Langlands Program

Author : Julia Mueller
Publisher : Cambridge University Press
Page : 452 pages
File Size : 47,3 MB
Release : 2021-08-05
Category : Mathematics
ISBN : 1108619959

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Robert Langlands formulated his celebrated conjectures, initiating the Langlands Program, at the age of 31, profoundly changing the landscape of mathematics. Langlands, recipient of the Abel Prize, is famous for his insight in discovering links among seemingly dissimilar objects, leading to astounding results. This book is uniquely designed to serve a wide range of mathematicians and advanced students, showcasing Langlands' unique creativity and guiding readers through the areas of Langlands' work that are generally regarded as technical and difficult to penetrate. Part 1 features non-technical personal reflections, including Langlands' own words describing how and why he was led to formulate his conjectures. Part 2 includes survey articles of Langlands' early work that led to his conjectures, and centers on his principle of functoriality and foundational work on the Eisenstein series, and is accessible to mathematicians from other fields. Part 3 describes some of Langlands' contributions to mathematical physics.

Galois Representations in Arithmetic Algebraic Geometry

Author : A. J. Scholl
Publisher : Cambridge University Press
Page : 506 pages
File Size : 35,74 MB
Release : 1998-11-26
Category : Mathematics
ISBN : 0521644194

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Conference proceedings based on the 1996 LMS Durham Symposium 'Galois representations in arithmetic algebraic geometry'.

Zeta and L-Functions of Varieties and Motives

Author : Bruno Kahn
Publisher : Cambridge University Press
Page : 217 pages
File Size : 17,54 MB
Release : 2020-05-07
Category : Mathematics
ISBN : 1108574912

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The amount of mathematics invented for number-theoretic reasons is impressive. It includes much of complex analysis, the re-foundation of algebraic geometry on commutative algebra, group cohomology, homological algebra, and the theory of motives. Zeta and L-functions sit at the meeting point of all these theories and have played a profound role in shaping the evolution of number theory. This book presents a big picture of zeta and L-functions and the complex theories surrounding them, combining standard material with results and perspectives that are not made explicit elsewhere in the literature. Particular attention is paid to the development of the ideas surrounding zeta and L-functions, using quotes from original sources and comments throughout the book, pointing the reader towards the relevant history. Based on an advanced course given at Jussieu in 2013, it is an ideal introduction for graduate students and researchers to this fascinating story.

The Survival of a Mathematician

Author : Steven George Krantz
Publisher : American Mathematical Soc.
Page : 328 pages
File Size : 40,60 MB
Release : 2009
Category : Education
ISBN : 0821846299

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"One of the themes of the book is how to have a fulfilling professional life. In order to achieve this goal, Krantz discusses keeping a vigorous scholarly program going and finding new challenges, as well as dealing with the everyday tasks of research, teaching, and administration." "In short, this is a survival manual for the professional mathematician - both in academics and in industry and government agencies. It is a sequel to the author's A Mathematician's Survival Guide."--BOOK JACKET.

An Introduction to the Theory of the Riemann Zeta-Function

Author : S. J. Patterson
Publisher : Cambridge University Press
Page : 176 pages
File Size : 44,49 MB
Release : 1995-02-02
Category : Mathematics
ISBN : 9780521499057

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An introduction to the analytic techniques used in the investigation of zeta functions through the example of the Riemann zeta function. It emphasizes central ideas of broad application, avoiding technical results and the customary function-theoretic appro

An Introduction to the Langlands Program

Author : Joseph Bernstein
Publisher : Springer Science & Business Media
Page : 283 pages
File Size : 36,80 MB
Release : 2013-12-11
Category : Mathematics
ISBN : 0817682260

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This book presents a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics. Each of the twelve chapters focuses on a particular topic devoted to special cases of the program. The book is suitable for graduate students and researchers.

Representations of Real and P-adic Groups

Author : Eng-chye Tan
Publisher : World Scientific
Page : 426 pages
File Size : 36,7 MB
Release : 2004
Category : Science
ISBN : 981238779X

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The Institute for Mathematical Sciences at the National University of Singapore hosted a research program on ?Representation Theory of Lie Groups? from July 2002 to January 2003. As part of the program, tutorials for graduate students and junior researchers were given by leading experts in the field.This invaluable volume collects the expanded lecture notes of those tutorials. The topics covered include uncertainty principles for locally compact abelian groups, fundamentals of representations of p-adic groups, the Harish-Chandra-Howe local character expansion, classification of the square-integrable representations modulo cuspidal data, Dirac cohomology and Vogan's conjecture, multiplicity-free actions and Schur-Weyl-Howe duality.The lecturers include Tomasz Przebinda from the University of Oklahoma, USA; Gordan Savin from the University of Utah, USA; Stephen DeBacker from Harvard University, USA; Marko Tadi? from the University of Zagreb, Croatia; Jing-Song Huang from The Hong Kong University of Science and Technology, Hong Kong; Pavle Pand?i? from the University of Zagreb, Croatia; Chal Benson and Gail Ratcliff from East Carolina University, USA; and Roe Goodman from Rutgers University, USA.

Delicious Probiotic Drinks

Author : Julia Mueller
Publisher : Simon and Schuster
Page : 176 pages
File Size : 21,19 MB
Release : 2014-02-04
Category : Cooking
ISBN : 1628738944

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The health benefits of probiotics are no secret—doctors from both the Western and Eastern medicine camps sing the praises of probiotics for their positive effects on digestion, metabolism, and the immune system. Enthusiasts of kombucha—a bubbly probiotic drink now sold regularly in stores from Manhattan delis to Seattle food co-ops—point to its high levels of B vitamins and amino acids, improving mood, energy levels, joint function, ligament health, and skin health. Now you can learn to make kombucha, as well as numerous other probiotic drinks, at home! With clear step-by-step directions, beautiful photographs, and more than seventy-five recipes, this is the ultimate guide to homemade probiotic drinks. You’ll find numerous recipes for: Kombucha Jun Kefir Lacto-fermented lemonade Ginger beer Cultured vegetable juices And more! In addition, you’ll find recipes for making yogurt, smoothies, and kefir ice cream. Fermenting drinks may seem daunting, but Julia Mueller shows how it can be fun, much more cost-effective than buying ready-made drinks from the store, and delicious! Skyhorse Publishing, along with our Good Books and Arcade imprints, is proud to publish a broad range of cookbooks, including books on juicing, grilling, baking, frying, home brewing and winemaking, slow cookers, and cast iron cooking. We’ve been successful with books on gluten-free cooking, vegetarian and vegan cooking, paleo, raw foods, and more. Our list includes French cooking, Swedish cooking, Austrian and German cooking, Cajun cooking, as well as books on jerky, canning and preserving, peanut butter, meatballs, oil and vinegar, bone broth, and more. While not every title we publish becomes a New York Times bestseller or a national bestseller, we are committed to books on subjects that are sometimes overlooked and to authors whose work might not otherwise find a home.