發表於2025-05-04
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 下載 mobi pdf epub txt 電子書 格式 2025
Love and Math 下載 mobi epub pdf 電子書##看這本書的時機很對,上學期剛上完抽代,對書中所介紹的內容也大都熟知/有大概認識。不過對我來說最值得看的部分倒不是關於數學本身的部分,而是作者神奇的經歷⋯
評分 評分##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,知道瞭猶太人在蘇聯想受數學物理的高等教育真是難。科普方麵,我真的很努力試圖讀懂,一開始還好,後麵就完全不懂瞭,跳過瞭科普部份。對數學感興趣的人可以一讀,文字很白開水特好讀。
評分##去年在機場閑逛買下的書,為的是他的封麵和名稱。斷斷續續的讀來感覺這本書的內容可能會被嚴肅數學學生深深吐糟,但是對於我這種半吊子工科生來說實在是很適閤當作等車時的閑暇讀物啊。
評分##專業的鼕鼕完全看不懂。看完的第一本mobi格式的書。
評分 評分##我沒看懂他怎麼解釋Gelois Group,沒看懂什麼是Langlands Program,但是我想我看懂瞭他想說什麼
評分##《愛與數學》的內容可以歸結為一個目標、兩條綫索和三個對比。 《愛與數學》的目標在於嚮世人展示數學之美,喚起大傢對數學的熱情,使大傢認識到數學對人們的貢獻。 顧名思義,“愛與數學”包括瞭“愛”與“數學”兩條綫索。“愛”是作者從事數學研究的經曆。正是因為愛數學,...
評分##與其說這本書講述的是作者的成長經曆,不如說是弗倫剋爾對數學的深愛。 剛看書名,愛跟數學有什麼關係呢?盡管我知道一些愛的方程式,比如笛卡爾之心,三維之心等,但依舊好奇,看完纔知道,這個愛是作者對於數學那份深愛:莫斯科大學不喜歡猶太人,即使他們再優秀,但是弗倫剋...
Love and Math mobi epub pdf txt 電子書 格式下載 2025