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Giải thưởng Fields năm 2006

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Chủ đề này có 15 trả lời

#1
CXR

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1) Andrei Okounkov - xem thêm thông tin tại http://math.berkeley.edu/~okounkov/

2) Grigori Perelman - http://en.wikipedia....rigori_Perelman

3) Terence Tao - http://www.math.ucla.edu/~tao/

4) Wendelin Werner - http://www.math.u-psud.fr/~werner/
"The essential thing in life is not conquering but fighting well"

#2
leoteo

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Perelman đã từ chối nhận giải thưởng Fields

http://news.bbc.co.u...ech/5274040.stm

Còn Clay Research award thì chắc phải lâu lâu nữa mới biết.
Trần trùng trục đi về không vướng víu

#3
pizza

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Chi tiết về huy chương Fields 2006 :
http://www.mathunion.org/medals/2006/
Trước đây cứ nghĩ probability ko thể được Fields , nhưng năm nay có 2 vị ít nhiều dính đến món này , hay ghê !

Bài viết đã được chỉnh sửa nội dung bởi pizza: 23-08-2006 - 21:49

The world is what it is; men who are nothing , who allow themselves to become nothing , have no place in it !
(Naipaul)
Khi mê tiền chỉ là tiền
Ngộ ra mới biết trong tiền có tâm
Khi mê dâm chỉ là dâm
Ngộ ra mới biết trong dâm có tình
(NBS)

#4
TQFT

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KHông thể hiểu nổi tại sao mọi người có thể coi Okounkov là thuộc ngành sác xuất được nhỉ? Chắc là bọn nhà báo chả biết gì.
Lãnh vực nghiên cứu chính của Okounkov là lý thuyết biểu diễn/ vật lý toán. Ông ta là một trong những người hàng đầu về phương pháp quỹ đạo của Kostant-Kirillov, các ứng dụng tổ hợp của lý thuyết biểu diễn . Về vật lý toán lãnh vực của ông ta là về hình học symplectic, theo kiểu bất biến gromov-witten,bất biến Seiberg-Witten, bất biến đối đồng điều lượng tử... Theo tôi được biết, cách đây vài năm ông ta vẫn tham gia nhóm nghiên cứu về lý thuyết biểu diễn/hình học/ tổ hợp của Berkeley rất nhiệt tình, được support bởi nhóm này. Về xác xuất chỉ là cái chơi chơi thôi, chả dính tí gì cả.
0-->Topology---->Geometry----->Moduli space---->0
Is it splitting?

#5
phtung

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Ko hiểu cái giải thưởng Gauss mới có cho Applications of maths thì trao cho già hay trẻ. Hay mấy năm đầu thì phải trao cho các lão thành có cống hiến lâu năm. Như cho ông Ito năm nay chẳng hạn. Giống kiểu giải thành tựu trọn đời của Oscar :D

Về ông Okounkov thì đọc qua qua thấy có random với statistical mechanisms (chả hiểu là cái gì), chả biết có phải applied maths ko nữa

#6
TQFT

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Statistical Mechanic thì có thể coi đó là rời rạc hóa của lý thuyết trường lượng tử, nên có thể coi là topo số chiều thấp/vật lý toán/bất biến lượng tử.
0-->Topology---->Geometry----->Moduli space---->0
Is it splitting?

#7
altus

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Có dư luận cho rằng Perelman ghét nhóm của Yau, Cao và Zhu nên không thèm nhận Fileds.

http://www.newyorker.../060828fa_fact2

ìAs long as I was not conspicuous, I had a choice,” Perelman explained. ìEither to make some ugly thing”—a fuss about the math community’s lack of integrity—ìor, if I didn’t do this kind of thing, to be treated as a pet. Now, when I become a very conspicuous person, I cannot stay a pet and say nothing. That is why I had to quit.”

#8
phtung

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Đọc cả bài dài thấy có đoạn này là hấp dẫn :D

Hamilton, the son of a Cincinnati doctor, defied the math profession’s nerdy stereotype. Brash and irreverent, he rode horses, windsurfed, and had a succession of girlfriends. He treated math as merely one of life’s pleasures. At forty-nine, he was considered a brilliant lecturer, but he had published relatively little beyond a series of seminal articles on the Ricci flow, and he had few graduate students.

#9
TQFT

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In 1969, Yau started graduate school at Berkeley, enrolling in seven graduate courses each term and auditing several others.

Trời ơi, Yau đúng không phải là người nữa rồi. Mình chưa từng biết ai dám chơi một lúc 7 course một học kì tại khoa tóan Berkeley. Thật không thể tưởng tượng nổi. Người thường chơi 3-4 course đã gục hẳn rồi.
0-->Topology---->Geometry----->Moduli space---->0
Is it splitting?

#10
TQFT

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To do great work, you have to have a pure mind. You can think only about the mathematics.
Có một câu rất hay của Gromov. Phen này quyết tâm cắt hết gái gú để làm toán.
0-->Topology---->Geometry----->Moduli space---->0
Is it splitting?

#11
phtung

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Đọc cả bài thấy Yau tinh vi, tham vọng nhỉ? Bọn Havard phải tam cố thảo lư thì Yau mới chịu.
Chú KK định luyện Quỳ hoa bảo điển hay sao mà định cắt sạch cả thế :D

#12
hoang

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To do great work, you have to have a pure mind. You can think only about the mathematics.
Có một câu rất hay của Gromov. Phen này quyết tâm cắt hết gái gú để làm toán.

"Dẫn đao tự cung "

Thế này là cắt hết gái gú ngay bác TQFT ạ.
hoanglovely

#13
cpu

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Mozart of maths
Date: August 26 2006
Hình đã gửi

What can parents do with a child genius? Deborah Smith finds out.

SOME mathematicians devote their lives to just one problem, like Andrew Wiles, the British professor who spent seven years on Fermat's Last Theorem before solving it to acclaim in 1993.

Australia's maths superstar, Professor Terence Tao, is the exact opposite. He has dozens of very different problems in the back of his mind. If he can't see his way to solving one within a week or two, he moves on. "Even if the problem is tremendously exciting I will feel inclined to shelve it and work on other problems," he says.

Months later, he tries again with a fresh perspective and any new mathematical tricks he has picked up. His breadth of achievement as a result saw Tao, 31, this week honoured as a "supreme problem-solver" and awarded mathematics' highest honour, a Fields Medal.

"The way he crosses areas would be like the best heart surgeon also being exceptional in brain surgery," says Professor Tony Chan, of the University of California in Los Angeles, where Tao works.

His "beautiful work" on a problem known as Horn's conjecture is "akin to a leading English-language novelist suddenly producing the definitive Russian novel," says the panel which awarded him the prize.

"Terry is like Mozart; mathematics just flows out of him," says Professor John Garnett, also of UCLA. "He's probably the best mathematician in the world now."

Amid the profuse praise, the only people questioning Tao's award - the first for an Australian in the 70-year history of the prize - are the man and his family. "I think surprised is probably my dominant reaction," Tao said just before being handed his medal by King Juan Carlos of Spain, in Madrid.

His mother, Grace, in Adelaide, agrees. "He has worked very hard. But there are so many other mathematicians who have done wonderful things. I'm a bit surprised."

It's a modesty born from adjusting to a lifetime of extraordinary achievement since Tao first revealed himself as a child prodigy at two by learning to read from Sesame Street on TV. His lack of arrogance or conceit also explains his widely accepted popularity. "Everybody likes him," says Garnett.

High achievers like Tao are both born and made, says Dr Glenison Alsop, a psychologist with the CHIP Foundation in Melbourne, which helps children of high intellectual potential. "It's a case of nature and nurture."

With a one-in-a-million IQ score of 220, Tao inherited a lucky combination of genes from his father Billy, a pediatrician, and his mother, a former mathematics teacher, who have two other highly talented sons.

"Terry's mind is obviously quite extraordinary," says Alsop. "But he's also been well taught." The radically accelerated learning program he underwent also took into account his emotional development. "So he's also become a very pleasant young man," she says.

Grace Tao says Terry's ability to read so early came as a surprise. At two they found him typing out a copy of a children's book, letter for letter, on his father's typewriter. "We gave him lots of toys, but he didn't like cars or trains. He loved to play with alphabets and numbers, so we kept on going according to his wishes," she says.

When he began organising the magnet numbers on the fridge into sequences, and adding and subtracting them, they bought him mathematical books as well.

Tao says has has enjoyed the subject for as long as he can remember. "I recall being fascinated by numbers even at age three, and viewed their manipulation as a kind of game."

His parents sent him to school at 3½ but soon realised it was a naive move because he was not socially ready to cope, and took him out. At home, he voraciously read maths textbooks and, with his mother's guidance, completed the primary school maths course before he was five.

Miraca Gross, professor of gifted education at the University of NSW, wrote a dissertation on Tao when he was 10, published by Prufrock Press. In it she recalls a memorable moment assessing his abilities when he was just under 4. "He was multiplying two-digit numbers by two-digit numbers in his head, while I, the tester, required pen and paper to check his answers."

At the time there were no special programs for gifted students, which worked in the Taos' favour because they were able to devise a flexible schedule for Terry in collaboration with his teachers.

By 6½ , he was in grades 3, 4, 6 and 7 for different subjects at his primary school. At 7½, he started senior maths and physics at high school, but spent most time with his younger peers. "I didn't really have any other experience to compare it to, so it felt natural to me," says Tao.

Gross says he was a friendly, well-adjusted student who displayed no conceit about his remarkable gifts. "An important factor in Terry's happy assimilation into high school was that, because of his extreme youth, he was not seen as a threat, either intellectually or socially, by the 16- and 17-year-olds with whom he worked."

At 8½ he began high school full-time across a range of grades, and began to study university maths at home. By 9½ he was spending a third of his time at Flinders University. "We were lucky to live in an area with a primary school and a high school and a university all within a few minutes' driving distance," says Grace Tao.

Her brilliant son gained international notoriety at eight when he achieved the highest score ever for his age in the US university entrance scholastic aptitude test for maths - 760 out of 800, a mark matched only by 1 per cent of college-bound 17-year-olds.

Asked by his father what he would like as a reward, he chose a piece of old chocolate from the fridge, then went back to his books. Even at that age, the prize was much less important to him than intellectual discovery, says Gross.

It was not all plain sailing. At nine he missed out on a place in the Australian team to compete in the International Mathematical Olympiad. But he went on as a 10-, 11- and 12 year old to win a bronze, silver and gold medal. His last feat - a gold under the age of 13 - has never been paralleled.

Grace Tao says that with all three sons they simply helped them follow their passions. Their second son, Trevor, diagnosed as autistic at two, went on to excel at piano and composing, and represented Australia internationally in chess. Their third, Nigel, plays four musical instruments, is athletic, and studied economics and computer science. Trevor and Nigel were Maths Olympians as teenagers as well.

Gross concluded the family was able to bring out the best in the child prodigy for many reasons, including "a deep love of learning for its own sake and a warm acceptance of the gifted child for his own sake, not merely for his accomplishments."

Tao now collaborates extremely well with other mathematicians. It helps him learn about new topics and get new ideas for tackling the problems on his mind, he says. "It is also considerably more fun to work in groups."

He likens solving problems to climbing a cliff. Climbers have to be quick, strong and have a lot of rope. Mathematicians need to be able to do calculations quickly and know a lot of facts. But both need to plan their route to the top. "That's the hard part, and you have to see the bigger picture."

Tao has climbed many cliffs. "Terry wrote 56 papers in two years and they're all high quality," said Garnett in a university statement about Tao's latest win. "In a good year I write three papers."

When he joined UCLA, Tao was torn between staying in the US and Australia, and he shared his time between both. Now married with a three-year-old son, he will stay put. "I am still very fond of Australia, but my life is now in Los Angeles."

His research on prime numbers and wave motion has potential applications for information security and fibre optics. But it may be 20 or more years before scientists and engineers can make use of his other work, he says.

While Australian mathematicians have been celebrating his success there is still a lot of the little boy with the chocolate in the man. "Maybe when I'm in my 60s I'll look back at what I've done, but now I would rather work on the problems."

(http://www.smh.com.a...6012745894.html)

#14
isomorphism123

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Quote:
http://www.newyorker.../060828fa_fact2

Đọc xong bài này thấy người làm toán tranh chấp ngôi bá chủ võ lâm chả khác gì chuyện Kim Dung cả.
Nghe chuyện thấy Yau có vẻ chả khác gì Nhạc Bất Quần, đến lúc cần thậm chí còn có thể nhấn chìm học trò giỏi nhất của mình là Gang Tian :alpha

#15
bookworm_vn

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chú Terence Tao còn trẻ quá, lâu lắm mới có 1 PDEser đuợc giải..
<span style='color:blue'>You are my escape from tension!</span>

#16
altus

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@cpu: Bác click vào cái link trong post của tôi ấy. Link sau khi quoted đã bị thay đổi một chút nên không truy cập được.

BTW, Sylvia Nasar là tác giả cuốn A Beautiful Mind về John Nash.




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