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\/>\n\u6587\uff0c\u662f\u4e00\u7bc7\u53ea\u662f\u628a20\u4e16\u7eaa30\u5e74\u4ee3\u5fb7\u56fd\u6570\u5b66\u5bb6Kneser\u7684\u5173\u4e8e\u9ece\u66fc\u9762\u8986\u53e0\u6620\u5c04\u7684\u6784\u9020\u63a8<br \/>\n\u5e7f\u5230\u4e86\u5e26\u8fb9\u7684\u60c5\u5f62\uff0c\u57fa\u672c\u4e0a\u662f\u975e\u5e38\u5e73\u51e1\u7684\u63a8\u5e7f\u3002\u6b64\u540e\u4ed6\u7684\u5bfc\u5e08\u5927\u6982\u77e5\u9053\u8fd9\u7bc7\u8bba\u6587\u4e0d<br \/>\n\u884c\uff0c\u6539\u7528\u4ee5\u540e\u7684\u8bba\u6587\u4f5c\u4e3a\u535a\u58eb\u8bba\u6587\u3002\u4e24\u7bc7\u5173\u4e8e\u81ea\u7531\u7fa4\u81ea\u540c\u6784\u7684\u6587\u7ae0\uff0c\u4e5f\u4e86\u65e0\u65b0\u610f\uff0c<br \/>\n\u90fd\u662f\u5f88\u5e73\u51e1\u7684\u7ed3\u8bba\uff0c\u53d1\u8868\u7684\u6742\u5fd7Journal of Algebra\u4e5f\u5f80\u5f80\u53d1\u8868\u7b2c\u4e09\u6d41\u7684\u6587\u7ae0\u3002\u4ed6<br \/>\n\u8bf4Vogtmann\u7684\u7efc\u8ff0\u6587\u7ae0\u4e2d\u5f15\u7528\u4e86\u4ed6\u7684\u7ed3\u679c\uff0c\u4f46\u662fVogtmann\u5e76\u975e\u662f\u8fd9\u65b9\u9762\u7684\u5927\u5bb6\u3002\u800c<br \/>\n\u4e14\u636e\u6211\u6240\u77e5\uff0c\u4ed6\u7684\u8fd9\u4e2a\u88ab\u5f15\u7528\u7684\u7ed3\u679c\u65e9\u4ed6\u51e0\u5e74Levitt \u548cNicolas\u5c31\u5df2\u7ecf\u5f97\u5230\u4e86\u3002\u53ef<br \/>\n\u662f\u8fd9\u6837\u7684\u6587\u7ae0\u5c45\u7136\u90fd\u53ef\u4ee5\u8bc4\u4e3a\u5168\u56fd\u4f18\u79c0\u535a\u58eb\u8bba\u6587\uff0c\u4f7f\u4eba\u60ca\u8bb6\u3002 <\/p>\n<p>\uff08\u8bb0\u8005\u6ce8\uff1a\u4e18\u6210\u6850\u5bf9\u4ee3\u6570\u4e0e\u51e0\u4f55\u62d3\u6251\u7684\u4ea4\u53c9\u95ee\u9898\u6709\u5f88\u6df1\u7814\u7a76\u3002\u4ed6\u7684\u535a\u58eb\u8bba\u6587\u5c31\u662f\u5173<br \/>\n\u4e8e\u6d41\u5f62\u57fa\u672c\u7fa4\u4e0e\u66f2\u7387\u7684\u5173\u7cfb\uff0c\u540e\u6765\u53d1\u8868\u5728\u8457\u540d\u6742\u5fd7Annals of Mathematics\u4e0a\u3002\u4e18\u6210<br \/>\n\u6850\u4e00\u5411\u6765\u975e\u5e38\u5173\u5fc3\u56fd\u5185\u7684\u5e74\u8f7b\u5b66\u8005\uff0c\u4ed6\u81ea\u5df1\u57f9\u517b\u768450\u591a\u540d\u5b66\u751f\u4e2d\u5927\u90e8\u5206\u662f\u4e2d\u56fd\u4eba\u3002<br \/>\n80\u5e74\u4ee3\uff0c\u5f53\u65f6\u5728\u56fd\u5185\u4e0d\u592a\u51fa\u540d\u7684\u4e01\u4f1f\u5cb3\u3001\u5f20\u606d\u5e86\u5c31\u88ab\u4e18\u6210\u6850\u9080\u8bf7\u5230\u52a0\u5dde\u5927\u5b66\u5723\u5730\u4e9a<br \/>\n\u54e5\u5206\u6821\u53c2\u52a0\u8ba8\u8bba\u73ed\uff0c\u5e76\u4e3a\u4e18\u6210\u6850\u6559\u6388\u6574\u7406\u8bb2\u8bfe\u7b14\u8bb0\uff0c\u4ed6\u4eec\u540e\u6765\u5728\u51e0\u4f55\u5206\u6790\u9886\u57df\u53d6\u5f97<br \/>\n\u4e86\u4e00\u5b9a\u7684\u6210\u679c\uff0c\u90fd\u8bc4\u4e0a\u4e86\u9662\u58eb\u3002\uff09 <\/p>\n<p>\u8bb0\u8005\uff1a\u60a8\u6700\u8fd1\u5728\u63a5\u53d7\u300a\u4e9a\u6d32\u65f6\u62a5\u300b\u91c7\u8bbf\u65f6\uff0c\u63d0\u5230\u5317\u4eac\u5927\u5b66\u5bf9\u4e2d\u56fd\u5176\u5b83\u5927\u5b66\u7684\u6253\u538b\u4ee4<br \/>\n\u4eba\u5f88\u7070\u5fc3\uff0c\u5e76\u4e14\u7279\u522b\u63d0\u5230\u4e2d\u5c71\u5927\u5b66\u4e00\u4f4d\u5b66\u8005\u5bf9\u6570\u5b66\u7684\u8ba4\u8bc6\u5df2\u7ecf\u8fbe\u5230\u4e16\u754c\u4e00\u6d41\u7684\u6807\u51c6<br \/>\n\uff0c\u5374\u53d7\u5230\u4e86\u5317\u4eac\u5927\u5b66\u7684\u6253\u538b\u3002\u8fd9\u4f4d\u4e2d\u5c71\u5927\u5b66\u7684\u5b66\u8005\u662f\u6307\u6731\u71b9\u5e73\u6559\u6388\u5417\uff1f <\/p>\n<p>\u4e18\u6210\u6850\uff1a\u6731\u71b9\u5e73\u7684\u5de5\u4f5c\u662f\u6d77\u5185\u5916\u4e2d\u56fd\u5b66\u8005\u4e2d\u505a\u6d41\u5f62\u51e0\u4f55\u505a\u5f97\u6700\u597d\u7684\u30022002\u5e74\u5728\u5317\u4eac<br \/>\n\u4e3e\u884c\u7684\u56fd\u9645\u6570\u5b66\u5bb6\u5927\u4f1a\uff0c\u56fd\u5185\u7684\u6f14\u8bb2\u4eba\u5927\u90e8\u5206\u662f\u4e1c\u9053\u4e3b\u4e2d\u56fd\u6570\u5b66\u4f1a\u81ea\u5df1\u63a8\u8350\u7684\u3002\u5f53<br \/>\n\u65f6\u8ba9\u4e2d\u56fd\u6570\u5b66\u4f1a\u63a8\u8350\u505a\u4e00\u5c0f\u65f6\u5927\u4f1a\u62a5\u544a\u7684\u5b66\u8005\uff0c\u63a8\u8350\u7684\u662f\u7530\u521a\u3002\u8fd8\u670945\u5206\u949f\u62a5\u544a\u7684<br \/>\n\u6f14\u8bb2\u4eba\u63a8\u8350\u4e867\u4e2a\uff0c\u5927\u90e8\u5206\u662f\u5317\u4eac\u7684\u3002\u6731\u71b9\u5e73\u505a\u4e86\u6781\u4e3a\u51fa\u8272\u7684\u5de5\u4f5c\uff08\u54c8\u4f5b\u6570\u5b66\u7cfb\u4eca\u5e74<br \/>\n\u5c31\u4e00\u81f4\u901a\u8fc7\u4ee5\u6700\u4e3a\u793c\u9047\u7684\u65b9\u5f0f\u9080\u8bf7\u6731\u6559\u6388\u6765\u8bbf\u95ee\u534a\u5e74\uff09\uff0c\u5374\u6ca1\u6709\u63a5\u5230\u9080\u8bf7\u3002\u8fd8\u6709\u5357<br \/>\n\u4eac\u5927\u5b66\u7684\u7a0b\u5d07\u5e86\uff0c\u4ed6\u7814\u7a76\u52a8\u529b\u7cfb\u7edf\u7684Arnold diffusion\u7684\u95ee\u9898\uff0c\u505a\u7684\u5de5\u4f5c\u975e\u5e38\u91cd\u8981<br \/>\n\uff0c\u5f88\u591a\u4eba\u505a\u4e0d\u51fa\u6765\uff0c\u4ed6\u505a\u6210\u529f\u4e86\u3002\u4ed6\u4e5f\u6ca1\u6709\u88ab\u9080\u8bf7\u3002 <\/p>\n<p>\uff08\u8bb0\u8005\u6ce8\uff1a\u5728\u56fd\u9645\u6570\u5b66\u5bb6\u5927\u4f1a\u5f97\u83f2\u5c14\u5179\u5956\u3001\u505a\u4e00\u5c0f\u65f6\u5927\u4f1a\u62a5\u544a\u548c45\u5206\u949f\u5206\u4f1a\u62a5\u544a\uff0c<br \/>\n\u662f\u6570\u5b66\u5bb6\u5b66\u672f\u5730\u4f4d\u7684\u4e00\u4e2a\u91cd\u8981\u6807\u5fd7\u30022002\u5e74\u56fd\u9645\u6570\u5b66\u5bb6\u5927\u4f1a\u4e4b\u524d\uff0c\u4e2d\u56fd\u5185\u5730\u4ec5\u6709\u534e<br \/>\n\u7f57\u5e9a\u3001\u5434\u6587\u4fca\u3001\u9648\u666f\u6da6\u3001\u51af\u5eb7\u7b496\u4f4d\u8457\u540d\u6570\u5b66\u5bb6\u88ab\u9080\u8bf7\u505a45\u5206\u949f\u62a5\u544a\uff0c\u800c\u88ab\u9080\u8bf7\u505a1<br \/>\n\u5c0f\u65f6\u5927\u4f1a\u62a5\u544a\u7684\u534e\u4eba\u79d1\u5b66\u5bb6\u4ec5\u6709\u6570\u5b66\u5927\u5e08\u9648\u7701\u8eab\u548c\u4e18\u6210\u6850\u7b494\u4eba\uff0c1983\u5e74\u4e18\u6210\u6850\u83b7\u5f97<br \/>\n\u7d20\u6709\u6570\u5b66&#8221;\u8bfa\u8d1d\u5c14\u5956&#8221;\u4e4b\u79f0\u7684\u83f2\u5c14\u5179\u5956\uff0c\u81f3\u4eca\u4ecd\u662f\u534e\u4eba\u4e2d\u7684\u552f\u4e00\u83b7\u5956\u8005\u3002\u4e18\u6210\u6850\u4e00\u76f4<br \/>\n\u6bd4\u8f83\u6b23\u8d4f\u6731\u71b9\u5e73\u548c\u7a0b\u5d07\u5e86\u30022004\u5e7412\u6708\uff0c\u6d59\u6c5f\u5927\u5b66\u5218\u514b\u5cf0\u3001\u4e2d\u5c71\u5927\u5b66\u6731\u71b9\u5e73\u5206\u522b\u83b7<br \/>\n\u5f97\u4e86\u534e\u4eba\u6570\u5b66\u754c\u6700\u9ad8\u8363\u8a89&#8221;\u6668\u5174\u6570\u5b66\u5956&#8221;\u4e2d\u7684\u91d1\u3001\u94f6\u5956\u3002\u800c\u5728\u4ed6\u4eec\u4e4b\u524d\uff0c\u5185\u5730\u83b7\u5956\u8005<br \/>\n\u4ec5\u6709\u7a0b\u5d07\u5e86\u3001\u5e2d\u5357\u534e\u4e24\u4eba\uff1a\u5206\u522b\u83b7\u5f971998\u5e74\u7b2c\u4e00\u5c4a&#8221;\u6668\u5174\u6570\u5b66\u5956&#8221;\u94f6\u5956\u548c2001\u5e74\u7b2c\u4e8c<br \/>\n\u5c4a&#8221;\u6668\u5174\u6570\u5b66\u5956&#8221;\u94f6\u5956\u3002\u636e\u4ecb\u7ecd\uff0c&#8221;\u6668\u5174\u6570\u5b66\u5956&#8221;\u6bcf\u4e09\u5e74\u8bc4\u9009\u4e00\u6b21\uff0c\u4e3b\u8981\u8868\u5f7045\u5c81\u4ee5\u4e0b<br \/>\n\u5728\u7406\u8bba\u53ca\u5e94\u7528\u6570\u5b66\u65b9\u9762\u53d6\u5f97\u6770\u51fa\u6210\u5c31\u7684\u534e\u4eba\u6570\u5b66\u5bb6\uff0c\u7531\u5168\u56fd\u9ad8\u6821\u6570\u5b66\u7cfb\u53ca\u6770\u51fa\u6570\u5b66<br \/>\n\u5bb6\u63d0\u540d\uff0c\u5bf9\u5019\u9009\u4eba\u53cd\u590d\u7b5b\u9009\uff0c\u518d\u63d0\u4ea4\u7531\u975e\u534e\u88d4\u77e5\u540d\u6570\u5b66\u5bb6\u7ec4\u6210\u7684\u8bc4\u9009\u59d4\u5458\u4f1a\u8fdb\u884c\u8bc4<br \/>\n\u9274\uff0c\u4ea7\u751f\u6700\u540e\u7684\u83b7\u5956\u8005\u3002\uff09 <\/p>\n<p>\u8bb0\u8005\uff1a\u60a8\u7684\u610f\u601d\u662f\u7530\u521a\u4e0d\u5e94\u8be5\u5728\u56fd\u9645\u6570\u5b66\u5bb6\u5927\u4f1a\u4e0a\u505a1\u5c0f\u65f6\u5927\u4f1a\u62a5\u544a\uff1f <\/p>\n<p>\u4e18\u6210\u6850\uff1a\u6211\u6279\u8bc4\u7530\u521a\u548c\u5317\u5927\u6570\u5b66\u7cfb\u662f\u56e0\u4e3a\u6211\u8ba4\u4e3a\u8fd9\u5341\u5e74\u6765\u7684\u5168\u56fd\u6570\u5b66\u5b66\u98ce\u6d6e\u5938\uff0c\u4e0e<br \/>\n\u4ed6\u4eec\u4f5c\u98ce\u6709\u5bc6\u5207\u5173\u7cfb\u3002\u7530\u521a\u7684\u5b66\u95ee\u8ddd\u4e16\u754c\u7b2c\u4e00\u6d41\u6570\u5b66\u5bb6\u76f8\u5dee\u5f88\u8fdc\uff0c\u5373\u4f7f\u5728\u6240\u8c13\u51e0\u4f55<br \/>\n\u5206\u6790\u8fd9\u4e2a\u5fae\u5206\u51e0\u4f55\u7684\u5206\u652f\u9886\u57df\u91cc\uff0c\u4ed6\u5728\u4e2d\u9752\u5e74\u5b66\u8005\u961f\u4f0d\u4e2d\u4e5f\u53ea\u80fd\u6392\u5728\u5341\u51e0\u540d\u5f00\u5916\u3002<br \/>\n\u4ed6\u5728\u56fd\u9645\u6570\u5b66\u5bb6\u5927\u4f1a\u4e0a\u505a1\u5c0f\u65f6\u6f14\u8bb2\uff0c\u662f\u4e2d\u56fd\u6570\u5b66\u4f1a\u63a8\u8350\u7684\uff0c\u5f53\u65f6\u5317\u5927\u548c\u4ed6\u4eec\u7684\u540c\u8def<br \/>\n\u4eba\u64cd\u7eb5\u4e86\u6574\u4e2a\u4e2d\u56fd\u6570\u5b66\u4f1a\u3002\u7136\u540e\u53c8\u901a\u8fc7\u5a92\u4f53\u8bb2\uff0c\u7530\u521a\u5e94\u8be5\u62ff\u83f2\u5c14\u5179\u5956\u3002\u5f53\u65f6\u6211\u5728\u676d<br \/>\n\u5dde\uff0c\u6709\u4e2d\u5b66\u751f\u95ee\u6211\uff0c\u7530\u521a\u4e3a\u4ec0\u4e48\u6ca1\u6709\u62ff\u5230\u83f2\u5c14\u5179\u5956\uff1f\u6211\u5f88\u60ca\u8bb6\uff0c\u8fde\u4e2d\u5b66\u751f\u90fd\u6709\u80fd\u529b<br \/>\n\u6279\u8bc4\u83f2\u5c14\u5179\u5956\u4e86\u3002\u7530\u521a\u7684\u5b66\u95ee\u6839\u672c\u8fbe\u4e0d\u5230\u83f2\u5c14\u5179\u5956\u7684\u6c34\u5e73\uff0c\u5dee\u5f97\u8fdc\u5462\u30021998\u5e74\u83f2\u5c14<br \/>\n\u5179\u5956\u7684\u8bc4\u9009\u59d4\u5458\u4f1a\u6210\u5458\u4e3a\uff1aYuri Manin, John Ball, John Coates, J.J.Duisterm<br \/>\naat, Michael Freedman, Jurg Frohlich, Robert Macpherson, Kyoji Saito, St<br \/>\neve Smale\uff0c\u8fd9\u4e9b\u90fd\u662f\u6709\u540d\u671b\u7684\u6570\u5b66\u5bb6\uff0c\u4e3b\u5e2dManin\u662f\u51e0\u4f55\u5b66\u4e13\u5bb6\uff0c\u5c24\u5176\u662fGromov-W<br \/>\nitten\u4e0d\u53d8\u91cf\u7684\u4e13\u5bb6\uff0c\u5bf9\u7530\u521a\u7684\u5de5\u4f5c\u6700\u4e3a\u6e05\u695a\uff0c\u8bc4\u4ef7\u4e0d\u597d\u3002\u6211\u7684\u4e2d\u56fd\u5b66\u751f\u5de5\u4f5c\u6bd4\u7530\u521a<br \/>\n\u6770\u51fa\u7684\u6709\u674e\u9a8f\u548c\u5218\u514b\u5cf0\uff0c\u4ed6\u4eec\u90fd\u5f88\u8e0f\u5b9e\uff0c\u4e0d\u559c\u6b22\u4f5c\u81ea\u6211\u5ba3\u4f20\uff0c\u4e00\u822c\u5a92\u4f53\u4e0d\u4e86\u89e3\u4ed6\u4eec<br \/>\n\u3002 <\/p>\n<p>\u8bb0\u8005\uff1a\u4f20\u95fb\u5317\u5927\u5bf9\u60a8\u5728\u5404\u79cd\u573a\u5408\u591a\u6b21\u6279\u8bc4\u60a8\u7684\u5b66\u751f\u7530\u521a\u6709\u6240\u4e0d\u6ee1\uff0c\u8ba4\u4e3a\u60a8\u662f\u65e0\u4e2d\u751f<br 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\/>\n\u9662\u9996\u6279\u5916\u7c4d\u9662\u58eb\u3001\u56fd\u9645\u6570\u5b66\u5bb6\u5927\u4f1a\u4e00\u5c0f\u65f6\u5927\u4f1a\u62a5\u544a\u4eba\uff1b\u8096\u836b\u5802\u662f\u7f8e\u56fd\u79d1\u5b66\u9662\u9662\u58eb\u3001<br \/>\n\u4e2d\u79d1\u9662\u5916\u7c4d\u9662\u58eb\u3001\u56fd\u9645\u6570\u5b66\u5bb6\u5927\u4f1a\u4e00\u5c0f\u65f6\u5927\u4f1a\u62a5\u544a\u4eba\u3002\u4ed6\u4eec\u90fd\u6307\u63a7\u540c\u4e00\u4e2a\u4eba\u527d\u7a83\u4ed6<br \/>\n\u4eba\u5b66\u672f\u8bba\u6587\uff0c\u8fd9\u4e0d\u80fd\u4e0d\u4ee4\u4eba\u6df1\u601d\u3002\uff09<\/p>\n<p>From: http:\/\/www.cms.zju.edu.cn\/news.asp?id=954&#038;ColumnName=news&#038;Version=<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e18\u6210\u6850\u6559\u6388\u5728\u6700\u8fd1\u63a5\u53d7\u5a92\u4f53\u91c7\u8bbf\u7684\u4e09\u6b21\u8c08\u8bdd\u4e2d\u4e3e\u5317\u5927\u4e3a\u4f8b\uff0c\u6279\u8bc4\u56fd\u5185\u5927\u5b66\u6559\u80b2\uff0c\u5f97 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\u4ec0\u4e48\uff1f\u4ece\u67d0\u4e00\u4fa7\u9762\u53cd\u6620\u4e86\u8fd1\u5e74\u6765\u5317\u5927\u6559\u80b2\u6c34\u5e73\u5927\u5e45\u5ea6\u4e0b\u964d\uff0c\u5317\u5927\u6559\u6388\u63a8\u8350\u4fe1\u7684\u4fe1\u8a89 \u65e0\u6cd5\u5f97\u5230\u4fdd\u8bc1\u3002\u603b\u4e4b\uff0c\u8fd9\u662f\u5317\u5927\u6559\u80b2\u7684\u4e0d\u5e78\u3002 \u8bb0\u8005\uff1a\u60a8\u5728\u8c08\u8bdd\u4e2d\u8868\u793a\uff0c\u5317\u5927\u6559\u6388\u5bf9\u5b66\u751f\u6f20\u4e0d\u5173\u5fc3\uff0c\u8bb8\u591a\u6709\u771f\u624d\u5b9e\u5b66\u7684\u5b66\u751f\u5374\u6ca1\u6709 &hellip; <a href=\"https:\/\/www.jackypeng.com\/blog\/qiu-tian-incident\/qiu-spoke-after-bd-first-repsponsed\/\" class=\"more-link\">Continue reading <span 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