Widely seen as the single biggest project in modern. 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. Next, we describe the connections between the langlands program and twodimensional conformal field theory that have been found in the last few years. Frenkel balances autobiographical narrative with enthusiastic discussions of his own work on the langlands program, a web of algebraic conjectures named after a canadian mathematician that is. Edward frenkel is a professor of mathematics at the university of california, berkeley, which he joined in 1997 after being on the faculty at harvard university. Oct 01, 20 in love and math, renowned mathematician edward frenkel reveals a side of math we ve never seen, suffused with all the beauty and elegance of a work of art. Frenkel aims to make it understandable, even beautiful. Berkley mathematician frenkel reveals the joy of pure intellectual discovery in this autobiographical story of determination, passion, and the langlands programa sort of grand unified field theory of. Apr 25, 2016 elementary introduction to the langlands program, by edward frenkel part 3 graduate mathematics. Frenkels book love and math is the first account of the langlands program aimed at general audience in a book form. Proposed by robert langlands in the late 1960s and sometimes described as the grand unified theory of mathematics, the program takes concepts and ideas in pure mathematics and uses them to further the understanding of complex physics and applied. Mar 12, 2020 in love and math, renowned mathematician edward frenkel reveals a side of math weve never seen, suffused with all the beauty and elegance of a work of art. These connections give us important insights into the physical implications of the langlands duality.
Theory of mathematics, the langlands program enables researchers to. And heres a set of more technical videos of frenkel s eilenberg lectures at columbia university. Langlandsfrenkel and some other things posted on november 16, 2018 by woit the canadian publication the walrus today has a wonderful article about robert langlands, focusing on his attitude towards the geometric langlands program and its talented proponent edward frenkel. In mathematics, the langlands program is a web of farreaching and influential conjectures about connections between number theory and geometry. Love and math edward frenkel 9780465050741 netgalley. Having braved a discriminatory educational system to become one of the twentyfirst centurys leading mathematicians, frenkel now works on one of the biggest ideas to come out of math in the last 50 years. Langlands correspondence for loop groups icm edition book. I tried to make it as selfcontained as possible, requiring very little mathematical background. Frenkels book love and math was a new york times bestseller, has been named one of. Edward vladimirovich frenkel is a russianamerican mathematician working in representation. Andrew wiles 1995 proof of fermats last theorem is one of the harbingers of this important research program, but a clear, general, nottootechnical account of that program is not easy to nd.
Nov 07, 20 frenkel describes many encounters with mathematicians who encouraged him along the way, providing him with the research problems that led to his interest in many of the fundamental issues in the langlands program. Download for offline reading, highlight, bookmark or take notes while you read love and math. It is partially based on the graduate courses taught by the author at uc berkeley in 2002 and 2004. Frenkel grew up in kolomna, russia to a family of russian jews. Frenkel research focuses on various aspects of symmetry in. Elementary introduction to the langlands program, by edward frenkel. He is a professor of mathematics at university of california, berkeley, member of the american academy of arts. In love and math, renowned mathematician edward frenkel reveals a side of math weve never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space. Apr 23, 2016 elementary introduction to the langlands program, by edward frenkel part 1 2015 graduate mathematics. I sat in my hospital bed reading edward frenkels book love and math. The canadian who reinvented mathematics toronto star.
The greatest mathematician youve never heard of the walrus. The videos of the lectures, linked below, give a wonderful opportunity to hear the story of these ideas from a great expositor, covering topics from the basic ideas of symmetries and fermats last theorem to the recent. The langlands program is some deep stuff that took on a role of the same magnitude as kleins erlanger program before it. Edward frenkel gave a series of four lectures at msri, elementary introduction to the. Langlands correspondence for loop groups edward frenkel university of california, berkeley. Langlands correspondence for loop groups math berkeley. Proposed by robert langlands 1967, 1970, it seeks to relate galois groups in algebraic number theory to automorphic forms and representation theory of algebraic groups over local fields and adeles. Recovering from an illness, i sat in my hospital bed reading edward frenkels book love and math. Langlands correspondence for loop groups by edward frenkel, 9780521854436, available at book depository with free delivery worldwide. I second both gelbarts introduction to the langlands program and the book introduction to the langlands program.
The langlands program was conceived initially as a bridge between number theory and automorphic representations, and has now expanded into such areas as geometry and quantum field theory, tying together seemingly unrelated disciplines into a web of tantalizing conjectures. In his recent book, edward frenkel expressed this view on the lp. Oct 17, 20 in love and math, renowned mathematician edward frenkel reveals a side of math weve never seen, suffused with all the beauty and elegance of a work of art. The goal of this book is to present a systematic and selfcontained introduction to the local geometric langlands correspondence for loop groups and the related representation theory of affine kacmoody algebras. Edward frenkel is professor of mathematics at the university of california, berkeley. Frenkel has also published joint papers on different aspects of the langlands program with both. In the book the entire theory is built from scratch, with all necessary concepts defined and the needed. Nov 14, 2006 edward frenkel has put a draft version of his new book langlands correspondence for loop groups on his website. He has also published a number of surveys aimed at mathematicians. The book tells the story of frenkels life as a young jewish man in moscow, and it explains, in relatively simple terms, the langlands program and frenkels own work on it. Mario livio, astrophysicist, and author of the golden ratio and brilliant blunders. In this heartfelt and passionate book, frenkel reveals a side of mathematics weve never seen, suffused with all the beauty and wonder of a work of art, appealing not only to the cerebral, but.
I watched frenkels talk at the ongoing minnesota conference via streaming video hopefully the video will be posted soon, and it was an amazing performance. The goal of this book is to present a systematic and selfcontained introduction to the local. In september 2015, edward frenkel gave a series of four lectures at msri, elementary introduction to the langlands program. Elementary introduction to the langlands program, by. Langlands correspondence for loop groups cambridge studies in. May 31, 2007 langlands correspondence for loop groups book. Msri elementary introduction to the langlands program, by. Elementary introduction to the langlands program, by edward. Now im no expert in langlands but i believe the langlands program is a series of conjectures that are basically consequences and generalizations of artin reciprocity. He is a member of the american academy of arts and sciences, a fellow of the american mathematical society, and the winner of the hermann weyl prize in mathematical physics. The institute is located at 17 gauss way, on the university of california, berkeley campus, close to grizzly peak, on the. The langlands program seeks to establish a correspondence between objects of galois type and objects of automorphic type. Through his fascinating autobiography, mathematician edward frenkel is opening for us a window into the ambitious langlands programa sweeping network that interconnects many branches of mathematics and physics. In this heartfelt and passionate audiobook, frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space.
He is a professor of mathematics at university of california, berkeley. Love and math is a new york times bestseller by edward frenkel. Wall street journal edward frenkels riveting new book made this former math phobe fall for a subject i thought i hated. Frenkels book not only gives the reader a glimpse into the world of the langlands program but also lays bare that the pursuit mathematics is a labor of love. Considered by many to be a grand unified theory of mathematics, the langlands program enables researchers to translate findings from one field to another so that they can solve problems, such as fermats last theorem. Langlands correspondence for loop groups icm edition by. In 2006, edward witten, charles simonyi professor in the school of natural sciences, cowrote with anton kapustin a 225page paper, electricmagnetic duality and the geometric langlands program, on the relation of part of the. There will be a book reading and signing event for edward frenkels new book love and math at the harvard coop 1400 mass ave, cambridge on the same day,1023, at 7 pm. His latest book is a new york times bestseller love and math which has been published in 18 languages.
Frenkels book love and math was a new york times bestseller, has been named one. Langlands correspondence for loop groups by edward frenkel. Langlandsfrenkel and some other things not even wrong. The langlands program has emerged in recent years as a blueprint for a grand. But langlands new order eventually evolved into a vast area of research known as the langlands program. The canadian publication the walrus today has a wonderful article about robert langlands, focusing on his attitude towards the geometric langlands program and its talented proponent edward frenkel. In love and math, renowned mathematician edward frenkel reveals a side of math we ve never seen, suffused with all the beauty and elegance of a work of art. It has been published in 18 languages and has been a bestseller in several countries, including brazil, spain, portugal, and japan. I watched frenkels talk at the ongoing minnesota conference via streaming video hopefully the video will be posted soon, and it was an amazing. Browse the amazon editors picks for the best books of 2019, featuring our favorite. In 20, frenkel published a bestselling generalinterest book about. More on geometric langlands a grand unified theory of math. This book does give you an update on the langlands programme, which is interesting and probably very inspiring to the. In his book love and math edward frenkel writes of his own introduction to and subsequent fascination with and immersion into the langlands program.
The goal of this book is to present a systematic and selfcontained introduction. Hot berkeley prof gets his kit off for calculus the. In recent years, frenkel has been looking at connections between the langlands program and quantum physics to learn more about quantum physics, check this out. The heart of hidden reality was published in october 20. In the book, frenkel uses familiar metaphors to coax his readers into the world of math. I believe that it holds the keys to understanding what mathematics is really about, far beyond the original langlands conjectures. His father is of jewish descent and his mother is russian. Nov 16, 2018 the canadian publication the walrus today has a wonderful article about robert langlands, focusing on his attitude towards the geometric langlands program and its talented proponent edward frenkel. Edward frenkel was born on may 2, 1968, in kolomna, russia, which was then part of the soviet union. Winner of the euler book prize, published in 18 languages. Elementary introduction to the langlands program, by edward frenkel part 1 2015 graduate mathematics. The heart of hidden reality by edward frenkel in djvu, doc, rtf download e book.
Mar 12, 2020 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. Love and math is the first account of the langlands program for a general audience in a book form. Near the front of the auditorium sat a man named edward frenkela russianborn. The book ends with two screenplays, the twobody problem and rites of love and math, that frenkel cowrote. Edward frenkel is a professor of mathematics at uc berkeley and the author of the new york times bestselling book love and math. Frenkel s book love and math was a new york times bestseller, has been named one of.
Frenkels recent work has focused on the langlands program and its connections to representation theory, integrable systems. In this heartfelt and passionate book, frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time and space. The langlands program is like a rosetta stone of mathematics. And heres a set of more technical videos of frenkels eilenberg lectures at columbia university. I was following along, scrawling equations on scratch paper when my doctor walked in and. In the introduction he describes the langlands program as a kind of grand unified theory of mathematics, initially linking number theory and representation theory, now expanding into relations with geometry and quantum field. One of the prevalent themes is the interplay between the local and global pictures.
The goal of this book is to present a systematic and self contained introduction to the local. Love and math, by edward frenkel the new york times. Oct 27, 20 recovering from an illness, i sat in my hospital bed reading edward frenkels book love and math. Frenkel, a driving force in the program, pushed its boundaries further a decade ago. Edward vladimirovich frenkel is a russianamerican mathematician working in representation theory, algebraic geometry. This book does give you an update on the langlands programme, which is interesting and probably very inspiring to the mathematicallyinclined teenager. Edward frenkel is a professor of mathematics at the university of california, berkeley, member of the american academy of arts and sciences, and the winner of the hermann weyl prize in mathematical physics. Frenkels latest book love and math was a new york times bestseller, won the euler book prize, and has been named one of the best books of the year by both amazon and ibooks. Buy love and math book online at low prices in india. Hot berkeley prof gets his kit off for calculus nudie art film star and the worlds sexiest spokesman for math, edward frenkel uses borscht in his new book. The heart of hidden reality ebook written by edward frenkel. Mar, 2014 the langlands program is like a rosetta stone of mathematics. Frenkels book love and math was a new york times bestseller, has. As far as i know, frenkel is the first to try to explain the langlands programfor him, the source code of all mathematicsto readers without any mathematical background.
1340 518 78 1207 1506 59 842 1078 721 213 181 1104 485 780 686 25 1136 1452 1465 91 972 314 551 72 721 417 1309 863 792 1475 1162 823 17 70 1166 466 744 1268 354 1329 1065 1360 1218 665