The Genesis of the Langlands Program
The Genesis of the Langlands Program

Author: Julia Mueller

Publisher: Cambridge University Press

Published: 2021-08-05

Total Pages: 452

ISBN-13: 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.

The Genesis of the Langlands Program
The Genesis of the Langlands Program

Author: Julia Mueller

Publisher: Cambridge University Press

Published: 2021-08-05

Total Pages: 451

ISBN-13: 1108710948

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

Zeta and L-Functions of Varieties and Motives
Zeta and L-Functions of Varieties and Motives

Author: Bruno Kahn

Publisher: Cambridge University Press

Published: 2020-05-07

Total Pages: 217

ISBN-13: 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.

An Introduction to the Theory of the Riemann Zeta-Function
An Introduction to the Theory of the Riemann Zeta-Function

Author: S. J. Patterson

Publisher: Cambridge University Press

Published: 1995-02-02

Total Pages: 176

ISBN-13: 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
An Introduction to the Langlands Program

Author: Joseph Bernstein

Publisher: Springer Science & Business Media

Published: 2013-12-11

Total Pages: 283

ISBN-13: 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.

The Survival of a Mathematician
The Survival of a Mathematician

Author: Steven George Krantz

Publisher: American Mathematical Soc.

Published: 2009

Total Pages: 328

ISBN-13: 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.

Towards a Modulo $p$ Langlands Correspondence for GL$_2$
Towards a Modulo $p$ Langlands Correspondence for GL$_2$

Author: Christophe Breuil

Publisher: American Mathematical Soc.

Published: 2012-02-22

Total Pages: 127

ISBN-13: 0821852272

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The authors construct new families of smooth admissible $\overline{\mathbb{F}}_p$-representations of $\mathrm{GL}_2(F)$, where $F$ is a finite extension of $\mathbb{Q}_p$. When $F$ is unramified, these representations have the $\mathrm{GL}_2({\mathcal O}_F)$-socle predicted by the recent generalizations of Serre's modularity conjecture. The authors' motivation is a hypothetical mod $p$ Langlands correspondence.

How I Became a Quant
How I Became a Quant

Author: Richard R. Lindsey

Publisher: John Wiley & Sons

Published: 2011-01-11

Total Pages: 406

ISBN-13: 1118044754

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Praise for How I Became a Quant "Led by two top-notch quants, Richard R. Lindsey and Barry Schachter, How I Became a Quant details the quirky world of quantitative analysis through stories told by some of today's most successful quants. For anyone who might have thought otherwise, there are engaging personalities behind all that number crunching!" --Ira Kawaller, Kawaller & Co. and the Kawaller Fund "A fun and fascinating read. This book tells the story of how academics, physicists, mathematicians, and other scientists became professional investors managing billions." --David A. Krell, President and CEO, International Securities Exchange "How I Became a Quant should be must reading for all students with a quantitative aptitude. It provides fascinating examples of the dynamic career opportunities potentially open to anyone with the skills and passion for quantitative analysis." --Roy D. Henriksson, Chief Investment Officer, Advanced Portfolio Management "Quants"--those who design and implement mathematical models for the pricing of derivatives, assessment of risk, or prediction of market movements--are the backbone of today's investment industry. As the greater volatility of current financial markets has driven investors to seek shelter from increasing uncertainty, the quant revolution has given people the opportunity to avoid unwanted financial risk by literally trading it away, or more specifically, paying someone else to take on the unwanted risk. How I Became a Quant reveals the faces behind the quant revolution, offering you?the?chance to learn firsthand what it's like to be a?quant today. In this fascinating collection of Wall Street war stories, more than two dozen quants detail their roots, roles, and contributions, explaining what they do and how they do it, as well as outlining the sometimes unexpected paths they have followed from the halls of academia to the front lines of an investment revolution.

Delicious Probiotic Drinks
Delicious Probiotic Drinks

Author: Julia Mueller

Publisher: Simon and Schuster

Published: 2014-02-04

Total Pages: 345

ISBN-13: 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.