The Fundamental Lemma, Solved
In 1979 the Canadian-American mathematician Robert Langlands developed an ambitious and revolutionary theory that connected two branches of mathematics called number theory and group theory. In a dazzling set of conjectures and insights, the theory captured deep symmetries associated with equations that involve whole numbers, laying out what is now known as the Langlands program. Langlands knew that the task of proving the assumptions that underlie his theory would be the work of generations. But he was convinced that one stepping stone that needed confirmation — dubbed the "fundamental lemma" — would be reasonably straightforward. He, his collaborators and his students were able to prove special cases of this fundamental theorem. But proving the general case proved more difficult than Langlands anticipated — so difficult, in fact, that it took 30 years to finally achieve. Over the past few years, Ngo Bao Chau, a Vietnamese mathematician working at Université Paris-Sud and the Institute for Advanced Study (IAS) in Princeton, formulated an ingenious proof of the fundamental lemma. When it was checked this year and confirmed to be correct, mathematicians around the globe breathed a sigh of relief. Mathematicians' work in this area in the last three decades was predicated on the principle that the fundamental lemma was indeed accurate and would one day be proved. "It's as if people were working on the far side of the river waiting for someone to throw this bridge across," says Peter Sarnak, a number theorist at IAS. "And now all of sudden everyone's work on the other side of the river has been proven."
Tui rất thích mục "Best and worst list" của báo Time, và thời điểm này trong năm là lúc để canh me thưởng thức mấy cái top 10 list trong năm. Đúng là mình có đọc lướt qua, đọc để cập nhật thông tin cho biết với đời mà không đi vào chi tiết. Đã bỏ sót cả một niềm tự hào Việt Nam. Chúc mừng bác Châu và cám ơn Goldmund.
ReplyDeleteTự hào quá anh nhỉ. Mai em sẽ đem chuyện này khoe với mấy đứa trong lớp. Mấy đứa bạn hỏi em: sao mày giỏi toán quá vậy?Thật sự mình không có giỏi, chỉ là mình siêng 1 chút thôi.
ReplyDeleteChúc mừng anh Ngô Bảo Châu.:)
ReplyDeleteÔi xin chúc mừng hòa thượng.
ReplyDeleteTự hào, tự hào
Cảm ơn bạn Goldmund và các anh, chị khác. NBC
ReplyDelete;D, em thấy hình anh NBC trên báo, thấy mặt trẻ lắm,chắc học toán làm người ta trẻ lâu ;D
ReplyDelete