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.
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.
##2014-10-24 在讀 2015-02-28 讀完 有些傳記成分有些科普,書裏麵的物理解釋比某些國産專業書還專業,而且這還是寫數學的
評分 評分1. Frenkel 顯然在語言錶達上相當有天賦,作為非英語母語的數學工作者,能夠完成這樣一部清晰而有吸引力的作品的確很棒;但是更為重要的是這本書傳達的核心觀點之一:即應該把數理研究最前沿最震撼人心的部分展現給青年人,大學初期教育甚至中學教育中能夠瞥一眼山峰會是很珍貴的體驗。 2. 這本書也算是 Frenkel 的自傳,瞭解瞭更多他的故事後,原來質疑的方麵(包括對媒體和大眾的過度注意力)消解瞭不少;另一方麵書中提到當初 Frenkel 決定繼續留在哈佛時 Borya Feigin 曾對他說在美國會被很多誘惑分散注意力,應該迴莫斯科。不知Feigin現在作何感想。 3. Langlands Program 真是太吸引人瞭,和 QFT 的對偶也許會成為未來的工作方嚮。
評分##如果不能理解langlands綱領的重要性,在純數學或是理論物理這種行當,恐怕會被前沿的領軍人物越甩越遠。
評分 評分 評分##作者毫不猶豫的將自己的研究原汁原味的展現, 因為數學之愛能衝破所有的障礙
評分##E.E.Cumming1931年在他的詩中寫到: 晶瑩剔透的幾何學邁著輕盈的步履 從驕傲孤寂的代數王國穿梭而過 卻與一母所生的冷冰冰的算術撞瞭個滿懷…… 數學想不到也可以這麼的有詩意,可在現實的生活中有太多的人看不起數學瞭,還有學數學的人一般都比較不懂得浪漫,我...
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