Love and Math

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Edward Frenkel (Russian: Эдвард Френкель, Edvard Frenkel'; born May 2, 1968) is a mathematician working in representation theory, algebraic geometry, and mathematical physics. He is a professor of mathematics at University of California, Berkeley.

Frenkel grew up in Kolomna, Russia to a family of Russian Jews. As a high school student he studied higher mathematics privately with Evgeny Evgenievich Petrov, although his initial interest was in quantum physics rather than mathematics.[1] He was not admitted to Moscow State University because of discrimination against Jews and enrolled instead in the applied mathematics program at the Gubkin University of Oil and Gas. While a student there, he attended the seminar of Israel Gelfand and worked with Boris Feigin and Dmitry Fuchs. After receiving his college degree in 1989, he was first invited to Harvard University as a visiting professor, and a year later he enrolled as a graduate student at Harvard. He received his Ph.D. at Harvard University in 1991, after one year of study, under the direction of Joseph Bernstein. He was a Junior Fellow at the Harvard Society of Fellows from 1991 to 1994, and served as an associate professor at Harvard from 1994 to 1997. He has been a professor of mathematics at University of California, Berkeley since 1997.

Jointly with Boris Feigin, Frenkel constructed the free field realizations of affine Kac–Moody algebras (these are also known as Wakimoto modules), defined the quantum Drinfeld-Sokolov reduction, and described the center of the universal enveloping algebra of an affine Kac–Moody algebra. The last result, often referred to as Feigin–Frenkel isomorphism, has been used by Alexander Beilinson and Vladimir Drinfeld in their work on the geometric Langlands correspondence. Together with Nicolai Reshetikhin, Frenkel introduced deformations of W-algebras and q-characters of representations of quantum affine algebras.

Frenkel's recent work has focused on the Langlands program and its connections to representation theory, integrable systems, geometry, and physics. Together with Dennis Gaitsgory and Kari Vilonen, he has proved the geometric Langlands conjecture for GL(n). His joint work with Robert Langlands and Ngô Bảo Châu suggested a new approach to the functoriality of automorphic representations and trace formulas. He has also been investigating (in particular, in a joint work with Edward Witten) connections between the geometric Langlands correspondence and dualities in quantum field theory.

Frenkel has co-produced, co-directed (with Reine Graves) and played the lead in a short film "Rites of Love and Math", a homage to the film "Rite of Love and Death" (also known as "Yûkoku") by the Japanese writer Yukio Mishima. The film premiered in Paris in April, 2010 and was in the official competition of the Sitges International Film Festival in October, 2010. The screening of "Rites of Love and Math" in Berkeley on December 1, 2010 caused some controversy.

Frenkel's book Love and Math The Heart of Hidden Reality was published in October 2013.

出版者:Basic Books
作者:Edward Frenkel
出品人:
页数:304
译者:
出版时间:2013-10-1
价格:USD 27.99
装帧:Hardcover
isbn号码:9780465050741
丛书系列:
图书标签:
  • 数学 
  • 科普 
  • 传记 
  • Math 
  • 朗兰兹纲领 
  • 物理 
  • 范畴论 
  • 英文原版 
  •  
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In "Love and Math," Berkeley professor Edward Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter and unites us across cultures, continents, and centuries. In this heartfelt and passionate book, Frenkel reveals a side of mathematics we've never seen, suffused with all the beauty and wonder of a work of art, appealing not only to the cerebral, but to the human and the spiritual.

"Love and Math" tells two intertwined stories: of amazing mathematics and of the journey of one young man learning and living it. Growing up in Russia, Frenkel was denied entrance to university to study mathematics because of discriminatory policies. Yet with the help of his mentors he circumvented the system to become one of the twenty-first century's leading mathematicians. He now works on one of the biggest ideas to come out of mathematics in the last 50 years: the Langlands Program, considered by many to be a Grand Unified Theory of Mathematics.

While most people are not blocked from studying mathematics, many see it as being impenetrable, or worse, irrelevant to their lives. At its core, "Love and Math" is a story about gaining entry to the previously inaccessible, which can enrich our lives and empower us to understand better the world and our place in it. It is an invitation to discover the wonders of the hidden universe of mathematics.

具体描述

读后感

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与其说这本书讲述的是作者的成长经历,不如说是弗伦克尔对数学的深爱。 刚看书名,爱跟数学有什么关系呢?尽管我知道一些爱的方程式,比如笛卡尔之心,三维之心等,但依旧好奇,看完才知道,这个爱是作者对于数学那份深爱:莫斯科大学不喜欢犹太人,即使他们再优秀,但是弗伦克...  

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这本书讲了什么? 和题目呼应的两个线索就是爱和数学了,既可以算是作者的一本自传也可以看作是数学科普书。作者讲了自己从一个苏联少年成长为数学家的故事,其中主要介绍了他自己研究中涉及到的数学概念,以及他对朗兰兹纲领的研究。 一些有趣的facts 夸克的名字是Murray Gell...  

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《爱与数学》的内容可以归结为一个目标、两条线索和三个对比。 《爱与数学》的目标在于向世人展示数学之美,唤起大家对数学的热情,使大家认识到数学对人们的贡献。 顾名思义,“爱与数学”包括了“爱”与“数学”两条线索。“爱”是作者从事数学研究的经历。正是因为爱数学,...  

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作者是个很会讲故事的人。作者的的个人经历的故事线以及介绍朗兰兹纲领的线巧妙地嵌在了一起,数学之美跃然纸上。书中的内容对于自己的研究也有许多有价值的启发。全书表述很清晰,但限于自己的水平,有的地方不甚了然。日后有机会可以再细细参详。 印象最深刻的就是作者善于利...  

用户评价

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头一次看到有关于数学的科普书来解释Langlands program, 或者准备一点儿说,是关于geometric langlands program的,很喜欢书里提到的那封A. Weil写给他妹妹的信,记得原来读E.Frenkle的那篇lecture note时候就有提到这个,特别有共鸣

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goodreads上的人說得對,這書應該分成兩本:傳記和科普。穿插著寫特別不好看,傳記部分略有趣,知道了猶太人在蘇聯想受數學物理的高等教育真是難。科普方面,我真的很努力試圖讀懂,一開始還好,後面就完全不懂了,跳過了科普部份。對數學感興趣的人可以一讀,文字很白開水特好讀。

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读起来觉得很无聊啊。"It also does not help that Frankel writes badly." 他自己可能觉得写得浅显易懂引人入胜吧。这种书,作者高兴就好了。For a mathematician, Frenkel is surprisingly self-indulgent. "This is a book about Frenkel's love of Frenkel, nothing more."

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Langlands The Grand Unified Theory:基本粒子分类是SU群,辫子群和DNA,欧拉函数和betti数的关系解释了数论和辫子群,从LANGLANDS角度思考共形场论问题,才能理解场论的本质。黎曼曲面 数论 有限域上的曲线三者等价

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作者毫不犹豫的将自己的研究原汁原味的展现, 因为数学之爱能冲破所有的障碍

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