Ngo's proof of the fundamental lemma
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From: Marko Amnell on 6 Feb 2010 00:06 "Marko Amnell" <marko.amnell(a)kolumbus.fi> wrote in message 7om21gF3p8pi0U1(a)mid.individual.net... > Ngo Bao Chau's proof of the fundamental lemma was picked by > Time magazine as one of the Top 10 Scientific Discoveries of 2009. > http://www.time.com/time/specials/packages/article/0,28804,1945379_1944416_1944435,00.htm > The full list is: > > 1. Our Oldest Ancestor, "Ardi" > 2. The Human Epigenome, Decoded > 3. Gene Therapy Cures Color Blindness > 4. A Robot Performs Science > 5. Breeding Tuna on Land > 6. Water on the Moon > 7. The Fundamental Lemma, Solved > 8. Teleportation! > 9. The Large Hadron Collider, Revived > 10. A New Planet (or Brown Dwarf?) Discovered > http://www.time.com/time/specials/packages/article/0,28804,1945379_1944416,00.html > > Number 8 makes the list sound more like a Top Ten > list from David Letterman's TV show, but my question is: > Can anyone provide a link to a good article on Ngo's > result for non-experts? His original article is here: > > http://front.math.ucdavis.edu/0801.0446 There is a talk by David Ben-Zvi on the Fundamental Lemma for a broad graduate audience at: http://media.cit.utexas.edu/math-grasp/David_Ben-Zvi_lecture.html "Abstract: The Fundamental Lemma, abstract: I will give a gentle overview of the ideas surrounding the Fundamental Lemma and its solution by Ngo Bao-Chau (recently ranked number 7 in Time Magazine's Top 10 Scientific Discoveries of 2009). The Fundamental Lemma is a key ingredient in the Arthur-Selberg Trace Formula and the entire Langlands program, with deep implications for number theory. Its conjectural status (to quote Langlands) "rendered progress almost impossible for nearly twenty years". Ngo's solution is a stunning application of the analogy between Riemann surfaces and number fields: it revolves around Hitchin's integrable system, a construction in the geometry of bundles on surfaces motivated by physics. The talk will be aimed at a broad graduate audience.)" This Web resource was brought to my attention by David Ben-Zvi. *** While I'm on the subject, I might also say that I asked earlier in this thread about the book _Introduction to the Langlands Program_: http://www.amazon.com/Introduction-Langlands-Program-Joseph-Bernstein/dp/0817632115 I ordered this book a while ago and it is a good collection of papers. |