Love and Math

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

页数:304

出版时间:2013-10-1

价格:USD 27.99

装帧:Hardcover

isbn号码:9780465050741

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

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.

读后感

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...  

《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，...  

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...  

书中作者参加莫斯科大学入学考试遇到一道作图题 我想了半天想出来，直接用尺规可以做出，无需“反演” 如图 已知圆O，定点A、B 1。做线段AB的垂直平分线 2。在线上任取一点P，以PA为半径做圆交圆O与C、D两点 3。直线AB和CD相交于点E 4。过点E做圆O的两条切线 5。两个切点G、...  

用户评价

太自恋了也 科普书不适合您老过度标榜自己的工作吧 另外仿照三岛忧国拍电影那个主意尬死，说明无论对日本文化和艺术家本人毫无了解 把数学搞成远古巫毒邪教似的

1. Frenkel 显然在语言表达上相当有天赋，作为非英语母语的数学工作者，能够完成这样一部清晰而有吸引力的作品的确很棒；但是更为重要的是这本书传达的核心观点之一：即应该把数理研究最前沿最震撼人心的部分展现给青年人，大学初期教育甚至中学教育中能够瞥一眼山峰会是很珍贵的体验。 2. 这本书也算是 Frenkel 的自传，了解了更多他的故事后，原来质疑的方面（包括对媒体和大众的过度注意力）消解了不少；另一方面书中提到当初 Frenkel 决定继续留在哈佛时 Borya Feigin 曾对他说在美国会被很多诱惑分散注意力，应该回莫斯科。不知Feigin现在作何感想。 3. Langlands Program 真是太吸引人了，和 QFT 的对偶也许会成为未来的工作方向。

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

如果不能理解langlands纲领的重要性，在纯数学或是理论物理这种行当，恐怕会被前沿的领军人物越甩越远。

独特的数学家作品。作者从早年作为苏联犹太人受歧视讲起，把他走上数学研究道路的过程娓娓道来，以他拍的一部电影收尾。作者很了不起的一点是：他不仅在朗兰兹纲领的研究中取得了很大的进展，而且努力让普罗大众了解数学的美和趣味。