发表于2025-05-07
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.
Love and Math 下载 mobi pdf epub txt 电子书 格式 2025
Love and Math 下载 mobi epub pdf 电子书##澎湃!
评分##《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,...
评分##购买链接:https://item.taobao.com/item.htm?ft=t&id=538967564737
评分 评分##我没看懂他怎么解释Gelois Group,没看懂什么是Langlands Program,但是我想我看懂了他想说什么
评分##去年在机场闲逛买下的书,为的是他的封面和名称。断断续续的读来感觉这本书的内容可能会被严肃数学学生深深吐糟,但是对于我这种半吊子工科生来说实在是很适合当作等车时的闲暇读物啊。
评分##2014-10-24 在读 2015-02-28 读完 有些传记成分有些科普,书里面的物理解释比某些国产专业书还专业,而且这还是写数学的
评分Love and Math mobi epub pdf txt 电子书 格式下载 2025