{"id":72801,"date":"2020-11-01T17:27:28","date_gmt":"2020-11-01T09:27:28","guid":{"rendered":"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/?p=72801"},"modified":"2021-10-06T15:42:08","modified_gmt":"2021-10-06T07:42:08","slug":"%e7%89%a9%e7%90%86%e5%8f%b2-%e4%bd%a9%e9%9b%b7%e7%88%be%e6%9b%bc%ef%bc%88grigori-perelman%ef%bc%89%e5%b0%87%e9%be%90%e5%8a%a0%e8%90%8a%e7%8c%9c%e6%83%b3%e7%9a%84%e8%a8%bc%e6%98%8e%e8%b2%bc%e5%88%b0","status":"publish","type":"post","link":"http:\/\/localhost\/%e7%89%a9%e7%90%86%e5%8f%b2-%e4%bd%a9%e9%9b%b7%e7%88%be%e6%9b%bc%ef%bc%88grigori-perelman%ef%bc%89%e5%b0%87%e9%be%90%e5%8a%a0%e8%90%8a%e7%8c%9c%e6%83%b3%e7%9a%84%e8%a8%bc%e6%98%8e%e8%b2%bc%e5%88%b0\/","title":{"rendered":"[\u7269\u7406\u53f2] \u4f69\u96f7\u723e\u66fc\uff08Grigori Perelman\uff09\u5c07\u9f90\u52a0\u840a\u731c\u60f3\u7684\u8a3c\u660e\u8cbc\u5230 arXiv \u7db2\u7ad9"},"content":{"rendered":"<div class=\"pf-content\"><p><span style=\"color: #ff6600;\"><strong>\u4f69\u96f7\u723e\u66fc\uff08Grigori Perelman\uff09\u5c07\u9f90\u52a0\u840a\u731c\u60f3\u7684\u8a3c\u660e\u8cbc\u5230 arXiv \u7db2\u7ad9<\/strong><\/span><br \/>\n<span style=\"color: #008000;\"><strong>\u570b\u7acb\u81fa\u7063\u5927\u5b78\u7269\u7406\u5b78\u7cfb \u694a\u4fe1\u7537\u6559\u6388\u3001\u856d\u5982\u73c0<\/strong><\/span><br \/>\n\uff08\u8b6f\u81ea<em>APS News<\/em>\uff0c2013\u5e7411\u6708\uff09<\/p>\n<p>2000 \u5e74\uff0c\u514b\u96f7\u6578\u5b78\u7814\u7a76\u6240\uff08the Clay Mathematics Institute\uff09\u5ba3\u5e03\uff0c\u5b83\u8981\u61f8\u8cde 100 \u842c\u7f8e\u5143\uff0c\u7d66\u51e1\u662f\u6b63\u78ba\u89e3\u7b54\u51fa\u4efb\u4e00\u6240\u8b02\u5343\u79a7\u5e74\u5927\u734e\u540d\u984c\uff08Millennium Prize Problems\uff09\u7684\u4e03\u5927\u672a\u89e3\u6578\u5b78\u96e3\u984c\u7684\u4eba\u3002\u4e03\u500b\u96e3\u984c\u4e2d\u81f3\u4eca\u53ea\u6709\u4e00\u984c\u88ab\u89e3\u7b54\u51fa\u4f86\uff0c\u5373\u662f\u6240\u8b02\u7684\u9f90\u52a0\u840a\u731c\u60f3\uff08Poincar\u00e9 Conjecture\uff09\uff0c\u7576\u6642\u88ab\u8a8d\u70ba\u662f\u62d3\u64b2\u5b78\uff08Topology\uff09\u4e2d\u6700\u91cd\u8981\u3001\u5c1a\u672a\u89e3\u6c7a\u7684\u554f\u984c\u4e4b\u4e00\u3002<\/p>\n<p>\u9019\u500b\u731c\u60f3\u662f\u9f90\u52a0\u840a\uff08Jules Henri Poincar\u00e9\uff09\u7368\u5275\u7684\u6982\u5ff5\u3002\u9f90\u52a0\u840a 1854 \u5e74 4 \u6708\u51fa\u751f\uff0c\u7236\u89aa\u662f\u6cd5\u570b\u5357\u932b\u5927\u5b78\uff08University of Nancy\uff09\u7684\u91ab\u5b78\u6559\u6388\u3002\u4ed6\u7ae5\u5e74\u6642\u5f97\u4e86\u50b3\u67d3\u6027\u5f37\u7684\u767d\u5589\uff0c\u6240\u4ee5\u65e9\u671f\u90fd\u7531\u6bcd\u89aa\u5728\u5bb6\u6559\u5c0e\u5b78\u7fd2\uff0c\u4f46 1862 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H. C. Whitehead\uff09\uff0c\u4f46\u4ed6\u5f8c\u4f86\u64a4\u56de\u8072\u660e\uff1b1950 \u548c 1960 \u5e74\u4ee3\u53c8\u6709\u5176\u4ed6\u4eba\u5ba3\u7a31\uff0c\u4f46\u5b83\u5011\u4e5f\u90fd\u5f88\u5feb\u88ab\u767c\u73fe\u6709\u7455\u75b5\u800c\u64a4\u56de\u3002<\/p>\n<p>\u6709\u8a31\u591a\u6578\u5b78\u5bb6\u5c0d\u6700\u7d42\u7684\u89e3\u7b54\u505a\u51fa\u4e86\u4e00\u4e9b\u8ca2\u737b\uff0c\u7f8e\u570b\u666e\u6797\u65af\u9813\u5927\u5b78\uff08Princeton University\uff09\u7684\u745f\u65af\u9813\uff08William Thurston\uff09\u6307\u51fa\u7814\u7a76\u7684\u65b9\u5411\u61c9\u5728\u65bc\u63a2\u7a76\u7403\u9ad4\u4e0d\u7ba1\u7dad\u5ea6\u5927\u5c0f\uff0c\u90fd\u6709\u56fa\u5b9a\u66f2\u7387\u7684\u4e8b\u5be6\uff1b\u4ed6\u7684\u540c\u884c\uff0c\u5eb7\u4e43\u723e\u5927\u5b78\uff08Cornell University\uff09\u7684\u54c8\u5bc6\u9813\uff08Richard Hamilton\uff09\u4ee5\u6b64\u4f5c\u70ba\u57fa\u790e\uff0c\u5229\u7528\u745e\u5947\u6d41\uff08Ricci flow\uff09\u7684\u6280\u5de7\uff0c\u4ee5\u985e\u4f3c\u71b1\u6d41\u7684\u65b9\u5f0f\u4f86\u8655\u7406\u578b\u614b\u7684\u8b8a\u63db\u3002\u5c31\u50cf\u71b1\u6d41\u6703\u4f7f\u4e0d\u898f\u5247\u7684\u6eab\u5ea6\u5206\u4f48\u8b8a\u5f97\u5747\u52fb\uff0c\u745e\u5947\u6d41\u53ef\u4ee5\u5747\u52fb\u5316\u985e\u7403\u9ad4\u72c0\u578b\u614b\u7684\u4e0d\u898f\u5247\u3002\u5f88\u4e0d\u5e78\u5730\uff0c\u7531\u65bc\u5947\u7570\u9ede\u7684\u53ef\u80fd\u7522\u751f\uff0c\u9019\u7a2e\u904e\u7a0b\u7121\u6cd5\u4e00\u76f4\u7e7c\u7e8c\uff0c\u9700\u8981\u62d3\u64b2\u5b78\u5bb6\u5728\u7522\u751f\u554f\u984c\u7684\u90e8\u5206\u53bb\u57f7\u884c\u4e00\u7a2e\u300c\u624b\u8853\u300d\u7684\u52d5\u4f5c\uff0c\u5c07\u5176\u5207\u9664\u5f8c\u79fb\u690d\u5176\u4ed6\u5f62\u9ad4\u904e\u4f86\u7f6e\u65bc\u5176\u4e0a\u3002<\/p>\n<p>\u7136\u800c\uff0c\u751a\u81f3\u54c8\u5bc6\u9813\u4e5f\u7121\u6cd5\u78ba\u5b9a\u662f\u5426\u6240\u6709\u53ef\u80fd\u7684\u5947\u7570\u6027\u90fd\u80fd\u4fee\u5fa9\u3002\u6700\u5f8c\u7684\u8b0e\u5e95\u662f\u7531\u4e00\u4f4d\u5b64\u5bc2\u7684\u4fc4\u7f85\u65af\u6578\u5b78\u5bb6\u4f69\u96f7\u723e\u66fc\uff08Grigori Perelman\uff09\u6240\u63d0\u51fa\u7684\uff0c\u4ed6\u65bc 2002 \u5e74 11 \u6708\u5148\u6295\u7a3f\u4e00\u7bc7\u77ed\u8ad6\u6587\u81f3 arXiv\uff08\u7db2\u8def\u8ad6\u6587\u6a94\u6848\u5eab\uff09\uff0c\u63a5\u8457\u53c8\u767c\u8868\u4e86\u5169\u7bc7\u3002\u4ed6\u8aaa\u660e\u7684\u78ba\u53ef\u80fd\u4fee\u5fa9\u6240\u6709\u9019\u4e9b\u7684\u5947\u7570\u6027\uff0c\u5c0d\u9f90\u52a0\u840a\u731c\u60f3\u63d0\u51fa\u7b2c\u4e00\u500b\u56b4\u8b39\u7684\u8a3c\u660e\u3002\u4ed6\u7684\u8ad6\u6587\u5728\u6578\u5b78\u754c\u5f15\u8d77\u4e86\u5927\u8f5f\u52d5\uff0c\u5c08\u5bb6\u5011\u7d44\u968a\u5bc6\u96c6\u6aa2\u8996\u6b64\u7814\u7a76\u3002\u5bc6\u897f\u6839\u5927\u5b78\u7684\u6578\u5b78\u5bb6\u62c9\u5fb7\uff08John Lot\uff09\u627f\u8a8d\u8aaa\uff1a\u300c\u6aa2\u8996\u4f69\u96f7\u723e\u66fc\u7684\u7814\u7a76\u82b1\u4e86\u6211\u5011\u597d\u4e9b\u6642\u9593\uff0c\u6709\u4e00\u90e8\u4efd\u662f\u56e0\u70ba\u4f69\u96f7\u723e\u66fc\u7814\u7a76\u7684\u539f\u5275\u6027\uff0c\u53e6\u4e00\u90e8\u5206\u662f\u7531\u65bc\u4ed6\u8ad6\u9ede\u7684\u6280\u5de7\u7cbe\u5bc6\u6027\uff0c\u6240\u6709\u7684\u8de1\u8c61\u90fd\u8aaa\u660e\u4ed6\u7684\u8ad6\u9ede\u662f\u6b63\u78ba\u7684\u3002\u300d<\/p>\n<p>2006 \u5e74\uff0c\u6d88\u606f\u50b3\u4f86\u8aaa\uff0c\u4f69\u96f7\u723e\u66fc\u5df2\u56e0\u300c\u4ed6\u5c0d\u5e7e\u4f55\u7684\u8ca2\u737b\uff0c\u8207\u4ed6\u5c0d\u745e\u5947\u6d41\u5206\u6790\u53ca\u5e7e\u4f55\u7d50\u69cb\u9769\u547d\u6027\u7684\u6d1e\u6089\u529b\u300d\uff0c\u7372\u5f97\u4e86\u6975\u5bcc\u8072\u671b\u7684\u83f2\u723e\u8332\u734e\uff08Fields Medal\uff09\uff0c\u9019\u662f\u6578\u5b78\u754c\u6700\u9ad8\u7684\u69ae\u8b7d\u3002\u7136\u800c\uff0c\u4ed6\u7684\u884c\u5f91\u7e3d\u662f\u7570\u65bc\u5e38\u4eba\uff0c\u9019\u4f4d\u8d8a\u4f86\u8d8a\u5b64\u7368\u7684\u5b78\u8005\u62d2\u7d55\u4e86\u6b64\u734e\u9805\uff0c\u9084\u8aaa\uff1a\u300c\u5927\u5bb6\u90fd\u4e86\u89e3\uff0c\u5047\u82e5\u8ad6\u9ede\u662f\u5c0d\u7684\u8a71\uff0c\u90a3\u5c31\u4e0d\u9700\u5176\u4ed6\u7684\u8a8d\u53ef\u4e86\u3002\u300d\u9019\u4e26\u975e\u4ed6\u7b2c\u4e00\u6b21\u62d2\u7d55\u53d7\u734e\uff0c\u4e4b\u524d\u4ed6\u4e5f\u56e0\u8a8d\u70ba\u8a55\u5be9\u59d4\u54e1\u6c92\u8cc7\u683c\u8a55\u4f30\u4ed6\u7684\u7814\u7a76\uff0c\u800c\u62d2\u7d55\u4e86\u6b50\u6d32\u6578\u5b78\u5b78\u6703\u6240\u9812\u767c\u7684\u734e\u9805\u3002<\/p>\n<p>4 \u5e74\u5f8c\uff0c\u514b\u96f7\u6578\u5b78\u7814\u7a76\u6240\u5ba3\u5e03\uff0c\u4f69\u96f7\u723e\u66fc\u7684\u78ba\u662f\u7b2c\u4e00\u500b\u89e3\u7b54\u4e86\u5343\u79a7\u4e03\u540d\u984c\u5176\u4e2d\u4e4b\u4e00\uff0c\u7372\u9812\u734e\u91d1 100 \u842c\u7f8e\u5143\u3002\u4f69\u96f7\u723e\u66fc\u9084\u662f\u4e00\u6a23\u62d2\u7d55\u63a5\u53d7\uff0c\u5805\u6301\u54c8\u5bc6\u9813\u5c0d\u90a3\u96e3\u984c\u5df2\u505a\u4e86\u76f8\u7576\u7684\u8ca2\u737b\uff0c\u4e26\u88dc\u5145\u8aaa\uff1a\u300c\u6211\u60f3\u8981\u7684\u5168\u5f97\u5230\u4e86\u3002\u300d\u4f69\u96f7\u723e\u66fc\u5c0d\u6b64\u9818\u57df\u8d8a\u4f86\u8d8a\u758f\u96e2\uff0c\u96a8\u5f8c\u5b8c\u5168\u812b\u96e2\u6578\u5b78\uff0c\u96e2\u958b\u65af\u6377\u514b\u6d1b\u592b\u6578\u5b78\u7814\u7a76\u6240\uff08Steklov Institute\uff09\u7684\u8077\u4f4d\uff0c\u76ee\u524d\u64da\u8aaa\u548c\u6bcd\u89aa\u5c45\u4f4f\u5728\u4fc4\u7f85\u65af\u8056\u5f7c\u5f97\u5821\u3002\u7136\u800c\uff0c\u4ed6\u5c0d\u9f90\u52a0\u840a\u731c\u60f3\u7684\u7814\u7a76\u8b49\u660e\u9084\u662f\u50b2\u5c45\u70ba\u6578\u5b78\u7684\u4e16\u7d00\u7a81\u7834\u3002<\/p>\n<div id=\"attachment_72803\" style=\"width: 174px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/wp-content\/uploads\/2016\/06\/72801_p1.png\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-72803\" class=\"wp-image-72803 size-full\" src=\"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/wp-content\/uploads\/2016\/06\/72801_p1.png\" alt=\"72801_p1\" width=\"164\" height=\"221\" \/><\/a><p id=\"caption-attachment-72803\" class=\"wp-caption-text\">\u9f90\u52a0\u840a\uff08Jules Henri Poincar\u00e9\uff09<\/p><\/div>\n<div id=\"attachment_72804\" style=\"width: 221px\" class=\"wp-caption alignnone\"><a href=\"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/wp-content\/uploads\/2016\/06\/72801_p2.png\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-72804\" class=\"wp-image-72804 size-full\" src=\"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/wp-content\/uploads\/2016\/06\/72801_p2.png\" alt=\"72801_p2\" width=\"211\" height=\"155\" \/><\/a><p id=\"caption-attachment-72804\" class=\"wp-caption-text\">\u4f69\u96f7\u723e\u66fc\uff08Grigori Perelman\uff09<\/p><\/div>\n<hr \/>\n<p><strong>\u539f\u6587\u520a\u8f09\u65bc\u7269\u7406\u96d9\u6708\u520a2014\u5e7412\u6708\u865f36\u5377\u7b2c6\u671f\uff0c\u611f\u8b1d\u694a\u4fe1\u7537\u6559\u6388\u540c\u610f\u6388\u6b0a\u520a\u8f09\u3002<\/strong><\/p>\n<p><strong>\u7cfb\u5217\u6587\u7ae0100\u7bc7\u5df2\u96c6\u7d50\u6210\u518a\uff0c\u7531\u4e94\u5357\u51fa\u7248\uff0c\u66f8\u540d\u70ba\u300a\u7269\u7406\u5947\u624d\u5947\u4e8b\u300b\u3002<\/strong><\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>\u4f69\u96f7\u723e\u66fc\uff08Grigori Perelman\uff09\u5c07\u9f90\u52a0\u840a\u731c\u60f3\u7684\u8a3c\u660e\u8cbc\u5230 arXiv \u7db2\u7ad9 \u570b\u7acb\u81fa\u7063\u5927\u5b78\u7269\u7406\u5b78\u7cfb \u694a&hellip;<\/p>\n","protected":false},"author":50,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[107,46,47],"tags":[],"class_list":["post-72801","post","type-post","status-publish","format-standard","hentry","category-physics00","category-physics12","category-physics12-01","loop-entry","cat-107","cat-46","cat-47","no-thumbnail"],"views":3731,"_links":{"self":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/72801","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/users\/50"}],"replies":[{"embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/comments?post=72801"}],"version-history":[{"count":1,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/72801\/revisions"}],"predecessor-version":[{"id":85038,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/72801\/revisions\/85038"}],"wp:attachment":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/media?parent=72801"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/categories?post=72801"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/tags?post=72801"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}