15 Jun 2003 (updated 15 Jun 2003 at 22:09 UTC) »
| | When I asked many people what is the most difficult areas of math to | understand, and also what is the most important unsolved mathematical | problem, they always responded with two words: "Langlands Conjecture" | (or "Langlands philosophy"). | | Can anyone explain what this is so that a general audience could | understand it? If this is not possible, could anyone give a flavor | of what this means?a flavor of what this means can be tasted everywhere at the BQM (Big Question Mark) section. And you don't have to have a Ph.D degree but the amount of time one spent to be able to appreciate the nuisance is about the same...--Alas, to appreciate the ideas in the Langlands program requires at least a PhD-level math education. It would be virtually impossible to attempt to convey these ideas to an audience less-educated.
Below are references to works of expository character which touch on topics related to the Langlands program. I'd suggest starting with Shafarevich, Gelbart (1984) and Murty - some of which should be accessible to bright math undergrads. - Bill Dubuque.
14 Jun 2003 (updated 14 Jun 2003 at 13:45 UTC) »
These are tales of pursuit. The pursuers are various: the young French surgeon flushed with the possibilities of a great enterprise; the wearied, sardonic Scottish doctor; the village priest willing to believe; the eccentric judge; the gentleman of leisure; the errant aristocrat. Yet the object of their pursuit is constant. All of them seek the truth, one that is embodied in another human being; and, for each one, that truth is something that can only be found in the exceptional fate of this boy, of this girl. That is the end of their quest: to fix for a moment the fleeting truth glimpsed within the life, the eyes, the soul, of the wild child.sidenote: ikiru added. thanks for the tip. djm. but i have to say i don't like all of akira kurosawa's movies. especially the making process of them are almost inhuman for human director s and assistant directors. His philosophy is like to promote that of a thornbird. One has to impale itself to let out the cooing for the numb world.
'Wild child' or 'feral child': the phrase covers a multitude of stories. Mostly it describes children brought up by animals; but over the last few centuries these words have been applied to children who have grown up alone in the wildness, lost in the woods and forests. More strangely the same phrases are also used for those few children who have lived through another, perhaps crueller kind of loneliness, locked for long years in solitary confinement in single rooms. What unites all these stories is the image of a human life developing in complete isolation, cut off from all human contact.
Such stories have afforded generations of scholars, writers and philosophers insights into the very essence of humanity. These children raise the deepest and most insoluble of questions : what is human nature? Does such a thing even exist? How do we differ from otehr animals? Where does our identity come from? And the inevitable silence of these children provokes a further mystery: what part does language play in creating our humanity?
Come on, poor babe Some powerful spirit instruct the kites and ravens To be thy nurses! Wloves and bears, they say, Casting their savageness aside, have done Like offices of pity. William Shakespeare, from 'The Winter's Tale'
14 Jun 2003 (updated 14 Jun 2003 at 02:48 UTC) »
About the Author:
Trevanian is the pseudonym used to protect a very private person who has managed to successfully sell 5 million books without making a single promotional appearance. However, rumor has it that his real identity is Rodney Whitaker since it is believed that author was teaching at University of Texas when The Eiger Sanction was submitted, and Rodney Whitaker is in the credits of that same film. Moreover, a Rodney Whitaker is quoted by Johnathan Hemlock in The Loo Sanction. If he is Rodney Whitaker, then he was born in 1931 in Granville, New York and holds a Ph.D. in Communications. Regardless of his true identity, his books have been translated into more than fourteen languages. He now lives in the French Basque Mountains.
"As you think best, sir." "Good. Tell me, Nikko. Will you miss Shanghai?" Nicholai considered for a second. "No." "Will you feel lonely in Japan?" Nicholai considered for a second. "Yes." "I shall write to you." "Often?" "No, not often. Once a month. But you must write to me as often as you feel the need to. Perhaps you will be less lonely than you fear. There are other young people studying with Otake-san. And when you ahve doubts, ideas, questions, you will find Otake-san a valuable person to discuss them with. He will listen with interest, but will not burden you with advice." The General smialed. "Although I think you may find one of my friend's habits of speech a little disconcerting at times. He speaks of everything in terms of Go. All of life, for him, is a simplified paradigm of Go." "He sounds as though I shall like him,sir." "I am sure you will. He is a man who has all my respect. He possesses a quality of ..how to express it? ..of shibumi." "Shibumi, sir?" Nicholai knew the word, but only as it applied to gardens or architecture, where it connoted an understated beauty. "How are you using the term, sir?" "Oh, vaguely. And incorrectly, I suspect. A blundering attemp to describe an ineffable quality. As you know, shibumi has to do with great refinement underlying commonplace appearances. It is a statement so correct that it does not have to be bold, so poignant it does not have to be pretty, so true it does not have to be real. Shibumi is understanding, rather than knowledge. Elquent silence. In demeanor, it is modesty without pudency. In art, where the spirit of shibumi takes the form of sabi, it is elegant simplicity, articulate brevity. In philosophy, where shibumi emerges as wabi, it is spiritual tranquility that is not passive; it is being without the angst of becoming. And in the personality of a man, it is .. how does one say it? Authority without domination? Something like that." Nicholai's imagination was galvanized by the concept of shibumi. No other idea had ever touched him so. "How does one achieve this shibumi, sir?" "One does not achieve it, one ...discovers it. And only a few men of infinite refinement ever do that. Men like my friend Otake-san." "Meaning that one must learn a great deal to arrive at shibumi?" "meaning, rather, that one must pass through knowledge and arrive at simplicity." From that moment, Nicholai's primary goal in life was to become a man of shibumi; a personality of overwhelming calm. It was a vocation open to him while, for reasons of breeding, education, and temperament, most vocations were closed. In pursuit of shibumi he could excel invisibly, without attracting the attention and vengeance of the tyrannical masses." Kishikawa-san took from beneath the tea table a small sandalwood box wrapped in plain cloth and put it into Nicholai's hand. "It is a farewell gift, Nikko. A trifle." Nicholai bowed his head in acceptance and held the package with great tenderness; he did not express his gratitude in inadequate words. This was his first conscious act of shibumi. Although they spoke late into their last night together about what shibumi meant and might mean, in the deepest essential they did not understand one another. To the General shibumi was a kind of submission; to Nicholai, it was a kind of power. Both were captives of their generations.
3 Jun 2003 (updated 3 Jun 2003 at 15:36 UTC) »
1 Jun 2003 (updated 1 Jun 2003 at 11:07 UTC) »
28 May 2003 (updated 28 May 2003 at 16:14 UTC) »
23 May 2003 (updated 23 May 2003 at 06:39 UTC) »
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