{"id":4291,"date":"2025-04-14T09:00:54","date_gmt":"2025-04-14T01:00:54","guid":{"rendered":"\/math\/?post_type=tkuisotope&#038;p=4291"},"modified":"2025-04-18T09:32:19","modified_gmt":"2025-04-18T01:32:19","slug":"%e6%b7%a1%e6%b1%9f%e5%a4%a7%e5%ad%b8%e6%87%89%e7%94%a8%e6%95%b8%e5%ad%b8%e8%88%87%e6%95%b8%e6%93%9a%e7%a7%91%e5%ad%b8%e5%ad%b8%e7%b3%bb%e6%bc%94%e8%ac%9b%e5%85%ac%e5%91%8a-%e8%95%ad%e6%ac%bd%e7%8e%89","status":"publish","type":"tkuisotope","link":"\/math\/?tkuisotope=%e6%b7%a1%e6%b1%9f%e5%a4%a7%e5%ad%b8%e6%87%89%e7%94%a8%e6%95%b8%e5%ad%b8%e8%88%87%e6%95%b8%e6%93%9a%e7%a7%91%e5%ad%b8%e5%ad%b8%e7%b3%bb%e6%bc%94%e8%ac%9b%e5%85%ac%e5%91%8a-%e8%95%ad%e6%ac%bd%e7%8e%89","title":{"rendered":"114\/04\/22 \u856d\u6b3d\u7389 \u535a\u58eb\u4e3b\u8b1b(\u570b\u7acb\u81fa\u7063\u5927\u5b78\u6578\u5b78\u7cfb \u6559\u6388)"},"content":{"rendered":"\n<p><strong>\u4e3b\u8b1b\u4eba\uff1a\u856d\u6b3d\u7389 \u535a\u58eb(\u570b\u7acb\u53f0\u7063\u5927\u5b78\u6578\u5b78\u7cfb \u6559\u6388)<\/strong><\/p>\n\n\n\n<p><strong>\u984c &nbsp;\u76ee\uff1a <\/strong><strong>\u534a\u7d93\u5178\u6975\u9650, \u91cf\u5b50\u5316\u8207\u5e7e\u4f55\u5206\u6790<\/strong><\/p>\n\n\n\n<p><strong>Semi-classical limit, quantization and geometric analysis&nbsp;<\/strong><\/p>\n\n\n\n<p>\u65e5&nbsp; \u671f\uff1a114\u5e744\u670822\u65e5\uff08\u661f\u671f\u4e8c\uff09<\/p>\n\n\n\n<p><strong>\u6642&nbsp; \u9593\uff1a\u4e0b\u534813:10\u958b\u59cb<\/strong><\/p>\n\n\n\n<p><strong>\u5730&nbsp; \u9ede\uff1a\u79d1\u5b78\u9928S433<\/strong><\/p>\n\n\n\n<p><strong>\u6458\u8981<\/strong><strong>Abstract:<\/strong><\/p>\n\n\n\n<p><strong>\u5728\u9019\u500b\u6f14\u8b1b, \u6211\u5c07\u5f9e\u900f\u904e\u57fa\u672c\u7684Gaussian integrtal\u4f86\u4ecb\u7d39\u91cf\u5b50\u5316\u53ca\u534a\u7d93\u5178\u6975\u9650\u7684\u57fa\u672c\u7cbe\u795e, \u7136\u5f8c\u6211\u6703\u900f\u904e\u4ecb\u7d39Witten\u7684\u53e4\u5178Morse theorem\u7684 \u7d14\u89e3\u6790\u8b49\u660e\u4f86\u544a\u8a34\u807d\u773e\u5982\u4f55\u5229\u7528\u91cf\u5b50\u5316\u7684\u60f3\u6cd5\u4f86\u8655\u7406\u5e7e\u4f55\u554f\u984c\u3002<br>In this talk, I&#8217;ll start with the Gaussian integral to introduce the key ideas of quantization and the semiclassical limit. Then, through Witten\u2019s analytic proof of the classical Morse theorem, I\u2019ll show how quantization can provide useful tools for understanding geometric problems.<\/strong><br><\/p>\n\n\n\n<p><strong>\u5099 &nbsp;\u8a3b\uff1a\u672c\u696d\u52d9\u8207\u806f\u5408\u570b\u6c38\u7e8c\u767c\u5c55\u76ee\u6a19SDG4\u512a\u8cea\u6559\u80b2\u9023\u7d50<\/strong><\/p>\n\n\n\n<p><strong>ESG+AI=\u221e&nbsp; AI+SDGs=\u221e<\/strong><\/p>\n\n\n\n<p><br><br><\/p>\n","protected":false},"template":"","meta":[],"categories":[9],"tags":[],"featured_image_urls":{"full":"","thumbnail":"","medium":"","medium_large":"","large":"","1536x1536":"","2048x2048":""},"post_excerpt_stackable":"<p>\u4e3b\u8b1b\u4eba\uff1a\u856d\u6b3d\u7389 \u535a\u58eb(\u570b\u7acb\u53f0\u7063\u5927\u5b78\u6578\u5b78\u7cfb \u6559\u6388) \u984c &nbsp;\u76ee\uff1a \u534a\u7d93\u5178\u6975\u9650, \u91cf\u5b50\u5316\u8207\u5e7e\u4f55\u5206\u6790 Semi-classical limit, quantization and geometric analysis&nbsp; \u65e5&nbsp; \u671f\uff1a114\u5e744\u670822\u65e5\uff08\u661f\u671f\u4e8c\uff09 \u6642&nbsp; \u9593\uff1a\u4e0b\u534813:10\u958b\u59cb \u5730&nbsp; \u9ede\uff1a\u79d1\u5b78\u9928S433 \u6458\u8981Abstract: \u5728\u9019\u500b\u6f14\u8b1b, \u6211\u5c07\u5f9e\u900f\u904e\u57fa\u672c\u7684Gaussian integrtal\u4f86\u4ecb\u7d39\u91cf\u5b50\u5316\u53ca\u534a\u7d93\u5178\u6975\u9650\u7684\u57fa\u672c\u7cbe\u795e, \u7136\u5f8c\u6211\u6703\u900f\u904e\u4ecb\u7d39Witten\u7684\u53e4\u5178Morse theorem\u7684 \u7d14\u89e3\u6790\u8b49\u660e\u4f86\u544a\u8a34\u807d\u773e\u5982\u4f55\u5229\u7528\u91cf\u5b50\u5316\u7684\u60f3\u6cd5\u4f86\u8655\u7406\u5e7e\u4f55\u554f\u984c\u3002In this talk, I&#8217;ll start with the Gaussian integral to introduce the key ideas of quantization and the semiclassical limit. Then, through Witten\u2019s analytic proof of the classical Morse theorem, I\u2019ll show how quantization can provide useful tools for understanding geometric problems. \u5099 &nbsp;\u8a3b\uff1a\u672c\u696d\u52d9\u8207\u806f\u5408\u570b\u6c38\u7e8c\u767c\u5c55\u76ee\u6a19SDG4\u512a\u8cea\u6559\u80b2\u9023\u7d50 ESG+AI=\u221e&nbsp; AI+SDGs=\u221e<\/p>\n","category_list":"<a href=\"\/math\/?cat=9\" rel=\"category\">News<\/a>","author_info":{"name":"","url":""},"comments_num":"0 comments","acf":[],"_links":{"self":[{"href":"\/math\/index.php?rest_route=\/wp\/v2\/tkuisotope\/4291"}],"collection":[{"href":"\/math\/index.php?rest_route=\/wp\/v2\/tkuisotope"}],"about":[{"href":"\/math\/index.php?rest_route=\/wp\/v2\/types\/tkuisotope"}],"wp:attachment":[{"href":"\/math\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4291"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"\/math\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4291"},{"taxonomy":"post_tag","embeddable":true,"href":"\/math\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4291"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}