The Genesis Of The Langlands Program
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The Genesis Of The Langlands Program
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Author : Julia Mueller
language : en
Publisher: Cambridge University Press
Release Date : 2021-08-05
The Genesis Of The Langlands Program written by Julia Mueller and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-05 with Mathematics categories.
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
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Author : Bruno Kahn
language : en
Publisher: Cambridge University Press
Release Date : 2020-05-07
Zeta And L Functions Of Varieties And Motives written by Bruno Kahn and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-07 with Mathematics categories.
Discover how zeta and L-functions have shaped the development of major parts of mathematics over the past two centuries.
An Introduction To The Langlands Program
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Author : Joseph Bernstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-11
An Introduction To The Langlands Program written by Joseph Bernstein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-11 with Mathematics categories.
For the past several decades the theory of automorphic forms has become a major focal point of development in number theory and algebraic geometry, with applications in many diverse areas, including combinatorics and mathematical physics. The twelve chapters of this monograph present 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. Covered are a variety of areas in number theory from the classical zeta function up to the Langlands program. The exposition is sytematic, with each chapter focusing on a particular topic devoted to special cases of the program, and accessible to graduate students and researchers in the field.
Mathematical Unity
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Author : Oliver Vella
language : en
Publisher: eBookIt.com
Release Date : 2025-01-13
Mathematical Unity written by Oliver Vella and has been published by eBookIt.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-13 with Mathematics categories.
An Exploration of Mathematical Cohesion Embark on a journey through the intricate realms of mathematics with "Mathematical Unity: The Langlands Programme and Beyond". This groundbreaking work delves into one of the most profound and ambitious pursuits in modern mathematics. Seamlessly weaving through centuries of mathematical thought and discovery, this book takes you deep into the quest for mathematical harmony. At the heart of this narrative lies the Langlands Programme, a monumental theory that seeks to bridge diverse areas such as algebra, number theory, and geometry. Discover the origins and ambitions of this fascinating framework, as the book illuminates the pathways towards unifying seemingly disparate mathematical concepts. Covering both historical developments and the latest advancements, readers will be captivated by how ancient problems have crossed new frontiers under the Langlands lens. Engage with the minds that have contributed to this evolving field, from the pioneers who first glimpsed the potential for unity to the modern-day mathematicians pushing the boundaries of knowledge. Through detailed case studies and real-world applications, see firsthand the tangible impact this programme has had, not only within mathematics but across interdisciplinary collaborations with fields like theoretical physics. Aspiring mathematicians, academics, and enthusiasts alike will find immense value in the rich narrative that presents complex ideas with clarity and elegance. Explore how emerging technologies and innovative methods are paving the way for future developments, and delve into the philosophical questions that challenge our perception of mathematics itself. Whether you're seeking to deepen your understanding or ignite your curiosity, "Mathematical Unity: The Langlands Programme and Beyond" offers a compelling exploration of the past, present, and future of mathematical unity, enticing readers into a domain where numbers, geometry, and theory converge in harmony.
Zeta Functions Of Simple Algebras
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Author : Roger Godement
language : en
Publisher: Springer
Release Date : 2006-11-14
Zeta Functions Of Simple Algebras written by Roger Godement and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
How I Became A Quant
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Author : Richard R. Lindsey
language : en
Publisher: John Wiley & Sons
Release Date : 2011-01-11
How I Became A Quant written by Richard R. Lindsey and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-11 with Business & Economics categories.
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.
The Survival Of A Mathematician
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Author : Steven George Krantz
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
The Survival Of A Mathematician written by Steven George Krantz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Education categories.
"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.
String Math 2022
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Author : Ron Donagi
language : en
Publisher: American Mathematical Society
Release Date : 2024-04-18
String Math 2022 written by Ron Donagi and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-18 with Mathematics categories.
This is a proceedings volume from the String-Math conference which took place at the University of Warsaw in 2022. This 12th String-Math conference focused on several research areas actively developing these days. They included generalized (categorical) symmetries in quantum field theory and their relation to topological phases of matter; formal aspects of quantum field theory, in particular twisted holography; various developments in supersymmetric gauge theories, BPS counting and Donaldson–Thomas invariants. Other topics discussed at this conference included new advances in Gromov–Witten theory, curve counting, and Calabi–Yau manifolds. Another broad topic concerned algebraic aspects of conformal field theory, vertex operator algebras, and quantum groups. Furthermore, several other recent developments were presented during the conference, such as understanding the role of operator algebras in the presence of gravity, derivation of gauge-string duality, complexity of black holes, or mathematical aspects of the amplituhedron. This proceedings volume contains articles summarizing 14 conference lectures, devoted to the above topics.
A Pythagorean Introduction To Number Theory
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Author : Ramin Takloo-Bighash
language : en
Publisher: Springer
Release Date : 2018-11-26
A Pythagorean Introduction To Number Theory written by Ramin Takloo-Bighash and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-26 with Mathematics categories.
Right triangles are at the heart of this textbook’s vibrant new approach to elementary number theory. Inspired by the familiar Pythagorean theorem, the author invites the reader to ask natural arithmetic questions about right triangles, then proceeds to develop the theory needed to respond. Throughout, students are encouraged to engage with the material by posing questions, working through exercises, using technology, and learning about the broader context in which ideas developed. Progressing from the fundamentals of number theory through to Gauss sums and quadratic reciprocity, the first part of this text presents an innovative first course in elementary number theory. The advanced topics that follow, such as counting lattice points and the four squares theorem, offer a variety of options for extension, or a higher-level course; the breadth and modularity of the later material is ideal for creating a senior capstone course. Numerous exercises are included throughout, many of which are designed for SageMath. By involving students in the active process of inquiry and investigation, this textbook imbues the foundations of number theory with insights into the lively mathematical process that continues to advance the field today. Experience writing proofs is the only formal prerequisite for the book, while a background in basic real analysis will enrich the reader’s appreciation of the final chapters.
Introduction To Compact Riemann Surfaces And Dessins D Enfants
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Author : Ernesto Girondo
language : en
Publisher: Cambridge University Press
Release Date : 2012
Introduction To Compact Riemann Surfaces And Dessins D Enfants written by Ernesto Girondo and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
An elementary account of the theory of compact Riemann surfaces and an introduction to the Belyi-Grothendieck theory of dessins d'enfants.