[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/19617#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/19617","headline":"\u4f50\u85e4\u3092\u4f5c\u308b – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","name":"\u4f50\u85e4\u3092\u4f5c\u308b – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","description":"Mikio Sat\u014d \uff08\u30b8\u30e3\u30c3\u30d7\u3002 \u4f50\u85e4 \u5e79\u592b \u3001 Sat\u014d Mikio ; * 1928\u5e744\u670818\u65e5\u306b\u6771\u4eac\u3067\u3002 \u20202023\u5e741\u67089\u65e5 [\u521d\u3081] \uff09\u4e3b\u306b\u5206\u6790\u3001\u6570\u5b66\u7269\u7406\u5b66\u3092\u6271\u3063\u305f\u65e5\u672c\u306e\u6570\u5b66\u8005\u3067\u3042\u308a\u3001\u6570\u306e\u7406\u8ad6\u7684\u63a8\u5b9a\u3067\u3082\u77e5\u3089\u308c\u3066\u3044\u307e\u3057\u305f\u3002 \u4f50\u85e4\u306f\u5f01\u8b77\u58eb\u306e\u606f\u5b50\u3067\u3057\u305f\u3002\u7b2c\u4e8c\u6b21\u4e16\u754c\u5927\u6226\u4e2d\u3001\u5bb6\u65cf\u306f\u6771\u4eac\u3067\u7206\u6483\u3055\u308c\u307e\u3057\u305f\u3002\u4f50\u85e4\u306f\u3053\u306e\u9593\u3001\u5de5\u5834\u3067\u77f3\u70ad\u3092\u5f15\u304d\u305a\u308a\u307e\u3057\u305f\u3002 1945\u5e74\u304b\u30891948\u5e74\u307e\u3067\u3001\u5f7c\u306f\u7b2c1\u9ad8\u6821\u306b\u901a\u3044\u3001\u305d\u306e\u5f8c\u30a8\u30ea\u30fc\u30c8\u5b66\u6821\u3068\u898b\u306a\u3055\u308c\u3066\u3044\u307e\u3057\u305f\u3002 \u305d\u306e\u5f8c\u3001\u5f7c\u306f\u5bb6\u65cf\u3092\u652f\u63f4\u3059\u308b\u305f\u3081\u306b\u9ad8\u6821\u306e\u6559\u5e2b\u3068\u3057\u3066\u50cd\u304d\u30011958\u5e74\u307e\u3067\u6559\u5e2b\u306e\u307e\u307e\u3067\u3057\u305f\u30021949\u5e74\u304b\u3089\u6771\u4eac\u5927\u5b66\u3067\u5b66\u3073\u307e\u3057\u305f\u3002\u5f7c\u306e\u66f8\u304b\u308c\u305f\u4f5c\u54c1\u306f\u30c8\u30c3\u30d7\u30de\u30fc\u30af\u3092\u53d7\u3051\u53d6\u308a\u307e\u3057\u305f\u304c\u3001\u5f7c\u306f\u8a66\u9a13\u3092\u9003\u3057\u3066\u3044\u305f\u306e\u3067\u3001\u5f7c\u306f\u30a2\u30b7\u30b9\u30bf\u30f3\u30c8\u306b\u306a\u308b\u3053\u3068\u304c\u3067\u304d\u305a\u3001\u6700\u521d\u306f\u52c9\u5f37\u3092\u7d9a\u3051\u307e\u3057\u305f\u3002 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1960\u5e74\u3001\u5f7c\u306f\u6771\u4eac\u6559\u80b2\u5927\u5b66\u306e\u6559\u5e2b\u306b\u306a\u308a\u30011960\u5e74\u304b\u30891962\u5e74\u307e\u3067\u9ad8\u5ea6\u306a\u7814\u7a76\u7814\u7a76\u6240\u306b\u3044\u307e\u3057\u305f\uff08Iyanaga\u306f\u5f7c\u306e\u4f5c\u54c1\u3092Andr\u00e9Weil\u306b\u9001\u308a\u307e\u3057\u305f\uff09\u3002\u305d\u306e\u5f8c\u3001\u5f7c\u306f\u5927\u962a\u5927\u5b66\u3068\u6771\u4eac\u5927\u5b66\u306e\u6559\u6388\u3067\u3057\u305f\u3002 1970\u5e74\u3001\u5f7c\u306f\u4eac\u90fd\u5927\u5b66\u306e\u7814\u7a76\u6240\u6570\u5b66\u79d1\u5b66\u7814\u7a76\u6240\uff08RIMS\uff09\u306e\u6559\u6388\u306b\u306a\u308a\u307e\u3057\u305f\u3002","datePublished":"2021-10-03","dateModified":"2021-10-03","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/132e57acb643253e7810ee9702d9581f159a1c61","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/132e57acb643253e7810ee9702d9581f159a1c61","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/19617","wordCount":1244,"articleBody":"Mikio Sat\u014d \uff08\u30b8\u30e3\u30c3\u30d7\u3002 \u4f50\u85e4 \u5e79\u592b \u3001 Sat\u014d Mikio ; * 1928\u5e744\u670818\u65e5\u306b\u6771\u4eac\u3067\u3002 \u20202023\u5e741\u67089\u65e5 [\u521d\u3081] \uff09\u4e3b\u306b\u5206\u6790\u3001\u6570\u5b66\u7269\u7406\u5b66\u3092\u6271\u3063\u305f\u65e5\u672c\u306e\u6570\u5b66\u8005\u3067\u3042\u308a\u3001\u6570\u306e\u7406\u8ad6\u7684\u63a8\u5b9a\u3067\u3082\u77e5\u3089\u308c\u3066\u3044\u307e\u3057\u305f\u3002 \u4f50\u85e4\u306f\u5f01\u8b77\u58eb\u306e\u606f\u5b50\u3067\u3057\u305f\u3002\u7b2c\u4e8c\u6b21\u4e16\u754c\u5927\u6226\u4e2d\u3001\u5bb6\u65cf\u306f\u6771\u4eac\u3067\u7206\u6483\u3055\u308c\u307e\u3057\u305f\u3002\u4f50\u85e4\u306f\u3053\u306e\u9593\u3001\u5de5\u5834\u3067\u77f3\u70ad\u3092\u5f15\u304d\u305a\u308a\u307e\u3057\u305f\u3002 1945\u5e74\u304b\u30891948\u5e74\u307e\u3067\u3001\u5f7c\u306f\u7b2c1\u9ad8\u6821\u306b\u901a\u3044\u3001\u305d\u306e\u5f8c\u30a8\u30ea\u30fc\u30c8\u5b66\u6821\u3068\u898b\u306a\u3055\u308c\u3066\u3044\u307e\u3057\u305f\u3002 \u305d\u306e\u5f8c\u3001\u5f7c\u306f\u5bb6\u65cf\u3092\u652f\u63f4\u3059\u308b\u305f\u3081\u306b\u9ad8\u6821\u306e\u6559\u5e2b\u3068\u3057\u3066\u50cd\u304d\u30011958\u5e74\u307e\u3067\u6559\u5e2b\u306e\u307e\u307e\u3067\u3057\u305f\u30021949\u5e74\u304b\u3089\u6771\u4eac\u5927\u5b66\u3067\u5b66\u3073\u307e\u3057\u305f\u3002\u5f7c\u306e\u66f8\u304b\u308c\u305f\u4f5c\u54c1\u306f\u30c8\u30c3\u30d7\u30de\u30fc\u30af\u3092\u53d7\u3051\u53d6\u308a\u307e\u3057\u305f\u304c\u3001\u5f7c\u306f\u8a66\u9a13\u3092\u9003\u3057\u3066\u3044\u305f\u306e\u3067\u3001\u5f7c\u306f\u30a2\u30b7\u30b9\u30bf\u30f3\u30c8\u306b\u306a\u308b\u3053\u3068\u304c\u3067\u304d\u305a\u3001\u6700\u521d\u306f\u52c9\u5f37\u3092\u7d9a\u3051\u307e\u3057\u305f\u3002 1957\u5e74\u590f\u3001\u5f7c\u306f\u6570\u5b66\u306e\u6559\u54e1\u306e\u535a\u58eb\u8ab2\u7a0b\u306e\u5b66\u751f\u3068\u3057\u3066\u53d7\u3051\u5165\u308c\u3089\u308c\u308b\u305f\u3081\u306b\u3001\u6a5f\u80fd\u969c\u5bb3\u306e\u7406\u8ad6\u306b\u95a2\u3059\u308b\u7814\u7a76\u3092\u66f8\u304d\u307e\u3057\u305f\u3002\u30a4\u30e4\u30ca\u30ac\u306f\u3001\u5f7c\u304c\u30a2\u30b7\u30b9\u30bf\u30f3\u30c8\u3068\u3057\u3066\u96c7\u308f\u308c\u3066\u3044\u308b\u3053\u3068\u3092\u78ba\u8a8d\u3057\uff08\u5b9f\u969b\u3001\u5f7c\u306f\u5409\u7530\u88d5\u5b50\u306e\u30a2\u30b7\u30b9\u30bf\u30f3\u30c8\u3067\u3057\u305f\uff09\u30011963\u5e74\u306b\u6771\u4eac\u3067\u535a\u58eb\u53f7\u3092\u53d6\u5f97\u3057\u307e\u3057\u305f\u3002 1960\u5e74\u3001\u5f7c\u306f\u6771\u4eac\u6559\u80b2\u5927\u5b66\u306e\u6559\u5e2b\u306b\u306a\u308a\u30011960\u5e74\u304b\u30891962\u5e74\u307e\u3067\u9ad8\u5ea6\u306a\u7814\u7a76\u7814\u7a76\u6240\u306b\u3044\u307e\u3057\u305f\uff08Iyanaga\u306f\u5f7c\u306e\u4f5c\u54c1\u3092Andr\u00e9Weil\u306b\u9001\u308a\u307e\u3057\u305f\uff09\u3002\u305d\u306e\u5f8c\u3001\u5f7c\u306f\u5927\u962a\u5927\u5b66\u3068\u6771\u4eac\u5927\u5b66\u306e\u6559\u6388\u3067\u3057\u305f\u3002 1970\u5e74\u3001\u5f7c\u306f\u4eac\u90fd\u5927\u5b66\u306e\u7814\u7a76\u6240\u6570\u5b66\u79d1\u5b66\u7814\u7a76\u6240\uff08RIMS\uff09\u306e\u6559\u6388\u306b\u306a\u308a\u307e\u3057\u305f\u3002 1987\u5e74\u304b\u30891991\u5e74\u307e\u3067\u3001\u5f7c\u306f\u30ea\u30e0\u306e\u30c7\u30a3\u30ec\u30af\u30bf\u30fc\u3067\u3057\u305f\u3002\u6700\u8fd1\u3067\u306f\u3001\u5f7c\u306f\u4eac\u90fd\u5927\u5b66\u306e\u540d\u8a89\u6559\u6388\u3067\u3057\u305f\u3002 1969\u5e74\u306b\u5f7c\u306f\u30a2\u30b5\u30d2\u8cde\u3092\u53d7\u8cde\u3057\u30011976\u5e74\u306b\u65e5\u672c\u79d1\u5b66\u30a2\u30ab\u30c7\u30df\u30fc\u3092\u53d7\u8cde\u3057\u307e\u3057\u305f\u3002 1984\u5e74\u3001\u5f7c\u306f1987\u5e74\u306b\u65e5\u672c\u306e\u6587\u5316\u79e9\u5e8f\u3068\u85e4\u539f\u8cde\u3092\u53d7\u8cde\u3057\u307e\u3057\u305f\u3002\u4f50\u85e4\u306f\u30011993\u5e74\u4ee5\u6765\u3001\u30a2\u30e1\u30ea\u30ab\u56fd\u7acb\u79d1\u5b66\u30a2\u30ab\u30c7\u30df\u30fc\u306e\u30e1\u30f3\u30d0\u30fc\u3067\u3059\u3002 1997\u5e74\u3001\u5f7c\u306f2003\u5e74\u306b\u30ed\u30eb\u30d5\u30b7\u30e7\u30c3\u30af\u8cde\u3068\u30a6\u30eb\u30d5\u8cde\u3092\u53d7\u8cde\u3057\u307e\u3057\u305f\u3002 1983\u5e74\u3001\u5f7c\u306f\u30ef\u30eb\u30b7\u30e3\u30ef\u306eICM\u3067\u5168\u4f53\u8b1b\u6f14\u3092\u884c\u3044\u307e\u3057\u305f\uff08 \u5358\u8abf\u306a\u7406\u8ad6\u3068\u30db\u30ed\u30ce\u30df\u30c3\u30af\u91cf\u5b50\u30d5\u30a3\u30fc\u30eb\u30c9 – \u6570\u5b66\u3068\u7406\u8ad6\u7269\u7406\u5b66\u306e\u65b0\u3057\u3044\u30ea\u30f3\u30af \uff09\u305d\u3057\u30661970\u5e74\u306b\u5f7c\u306fICM\u306e\u30b9\u30d4\u30fc\u30ab\u30fc\u3092NICE\u3067\u62db\u5f85\u3055\u308c\u307e\u3057\u305f\uff08 \u90e8\u5206\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u81a8\u5927\u306a\u6a5f\u80fd\u6eb6\u6db2\u306e\u898f\u5247\u6027 \uff09\u3002 \u5f7c\u306e\u535a\u58eb\u8ab2\u7a0b\u306e\u5b66\u751f\u306b\u306f\u3001\u30ab\u30b7\u30ef\u30e9\u6163\u5c71\u304c\u542b\u307e\u308c\u3066\u3044\u307e\u3057\u305f\u3002\u30de\u30a4\u30af\u30ed\u30ed\u30ab\u30eb\u5206\u6790\u306e\u62e1\u5927\u306b\u304a\u3051\u308b\u3082\u30461\u4eba\u306e\u8fd1\u3044\u5f93\u696d\u54e1\u306f\u3001\u5ddd\u9ce5\u306e\u9ad8\u539f\u3067\u3057\u305f\u3002 \u4f50\u85e4\u306f\u4e3b\u306b\u3001\u5f7c\u306e\u30cf\u30a4\u30d1\u30fc\u6a5f\u80fd\u306e\u7406\u8ad6\u3001\u8abf\u7406\u7406\u8ad6\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u5b9a\u7fa9\u3055\u308c\u308b\u5206\u5e03\u306e\u4e00\u822c\u5316\u306e\u767a\u5c55\u3067\u77e5\u3089\u308c\u3066\u3044\u307e\u3057\u305f\u3002 Holomorphe\u95a2\u6570\u3092\u5b9a\u7fa9\u3059\u308b\u5834\u5408 f {displaystyle f} \u30a2\u30c3\u30d1\u30fc\u3068 g {displaystyle g} \u4e0b\u90e8\u306e\u8907\u96d1\u306a\u30cf\u30fc\u30d5\u30ec\u30d9\u30eb\u3067\u306f\u3001\u9055\u3044\u3068\u3057\u3066\u306e\u30cf\u30a4\u30d1\u30fc\u6a5f\u80fd f  –  g {displaystyle f-g} \u5b9f\u969b\u306e\u8ef8\u3067\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002\u30db\u30ed\u30e2\u30fc\u30d5\u30a3\u30c3\u30af\u95a2\u6570\u3092\u8ffd\u52a0\u3059\u308b\u3068\u3001\u4e0d\u5909\u3067\u3059 h {displaystyle h} \u306b f {displaystyle f} \u3068 g {displaystyle g} \u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5f7c\u306f\u3001\u540c\u6642\u306b\u30a2\u30ec\u30af\u30b5\u30f3\u30c0\u30fc\u30fb\u30b0\u30ed\u30c6\u30f3\u30c7\u30a3\u30a8\u30c3\u30af\u3068\u4e26\u884c\u3057\u3066\u5206\u6790\u3059\u308b\u305f\u3081\u306b\uff08\u5883\u754c\u30d7\u30ed\u30bb\u30b9\u306a\u3057\uff09\u3001\u30b3\u30db\u30e2\u30ed\u30b8\u30fc\u30a2\u30af\u30bb\u30b9\u3092\u7b56\u5b9a\u3057\u307e\u3057\u305f\u3002\u30cf\u30a4\u30d1\u30fc\u30d5\u30a1\u30f3\u30af\u30b7\u30e7\u30f3\u3092\u4ecb\u3057\u305f\u5f7c\u306e\u4f5c\u54c1\u304b\u3089\u3001\u4f50\u85e4\u304c\u958b\u767a\u3055\u308c\u305f\u90e8\u5206\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u5fae\u5c0f\u5c40\u6240\u5206\u6790\u3078\u306e\u30a2\u30af\u30bb\u30b9\uff08\u30cf\u30a4\u30d1\u30fc\u30d5\u30a1\u30f3\u30af\u30b7\u30e7\u30f3\u306e\u300c\u5206\u6790\u6ce2\u9762\u300d\u3092\u4ecb\u3057\u3066\u30a2\u30af\u30bb\u30b9 [2] \uff09\u304a\u3088\u3073\u306e\u4ee3\u6570\u7406\u8ad6 d {displaystyle d} -moduln\uff081969\u5e74\u306b\u5b66\u751f\u306e\u30ab\u30b7\u30ef\u30e9\u304c\u8ad6\u6587\u3067\u62e1\u5f35\uff09 [3] \u3002\u65e9\u304f\u30821960\u5e74\u306b\u3001\u5f7c\u306f\u6771\u4eac\u306e\u30b3\u30ed\u30ad\u30a6\u30e0\u8b1b\u7fa9\u3067\u591a\u69d8\u6027\u306b\u95a2\u3059\u308b\u30d9\u30af\u30c8\u30eb\u3092\u675f\u306d\u308b\u305f\u3081\u306e\u901a\u52e4\u95d8\u4e89\u306b\u95a2\u3059\u308b\u30e2\u30b8\u30e5\u30fc\u30eb\u306e\u985e\u63a8\u306e\u30a2\u30a4\u30c7\u30a2\u3092\u7b56\u5b9a\u3057\u307e\u3057\u305f\u3002\u4f50\u85e4\u306f\u5f7c\u306e\u6642\u4ee3\u306e\u5f7c\u306e\u30a2\u30a4\u30c7\u30a2\u306b\u5148\u3093\u3058\u3066\u3044\u305f [4] \uff1a\u5f7c\u3089\u306f\u30a2\u30ca\u30ea\u30b9\u30c8\u306b\u306f\u5947\u5999\u306b\u898b\u3048\u3001\u6bd4\u8f03\u7684\u9045\u304f\u3001\u307e\u305f\u306f\u30e9\u30fc\u30b9\u30fb\u30d8\u30eb\u30de\u30f3\u30c0\u30fc\u306e\u3088\u3046\u306a\u4ee3\u66ff\u88fd\u5264\u306e\u307f\u3067\u53d6\u308a\u4e0a\u3052\u3089\u308c\u307e\u3057\u305f\u3002\u30d5\u30e9\u30f3\u30b9\u306e\u6570\u5b66\u8005\u306f\u4f8b\u5916\u3067\u3042\u308a\u3001\u305d\u3053\u3067\u306f\u3001\u6e96\u5099\u3055\u308c\u305f\u571f\u58cc\u3067\u306eLeray\u3001Cartan\u3001Grothendieck\u306e\u4ed5\u4e8b\u3092\u901a\u3058\u3066\u3001\u4f50\u85e4\u306e\u3054\u307f\u306e\u7406\u8ad6\u7684\u304a\u3088\u3073\u4ee3\u6570\u7684\u30a2\u30af\u30bb\u30b9\u304c\u751f\u307e\u308c\u307e\u3057\u305f\u3002 \u4f50\u85e4\u306f\u6570\u306e\u7406\u8ad6\u306b\u3082\u53d6\u308a\u7d44\u3093\u3060\u3002\u4eca\u65e5\u3067\u3082\u8a3c\u660e\u3055\u308c\u3066\u3044\u306a\u3044\u4f50\u85e4\u30bf\u30c3\u30c6\u30bf\u30c3\u30c6\u30ce\u30eb\u30c9\u30f3\u30b2\u30f3 p {displaystyle p} \u305d\u3057\u3066\u3001\u5fae\u7d30\u306a\u5206\u5e03\u3092\u6c7a\u5b9a\u3059\u308bHasse-Weim-Weil-Zeta\u95a2\u6570\u306e\u66f2\u7dda\u306e\u4fc2\u6570\u306e\u4f4d\u76f8\u306e\u7d71\u8a08\u5206\u5e03\u95a2\u6570\u3092\u8a00\u3044\u307e\u3059\u3002 1962\u5e74\u306b\u3001\u5f7c\u306f\u307e\u305f\u3001\u30ef\u30a4\u30eb\u754c\u304b\u3089\u306e\u30e2\u30b8\u30e5\u30fc\u30eb\u5f62\u5f0f\u306e\u4fc2\u6570\u306b\u3064\u3044\u3066\u306e\u30e9\u30de\u30cc\u30b8\u30e3\u30f3\u30d4\u30fc\u30bf\u30fc\u30bd\u30f3\u304c\u3069\u306e\u3088\u3046\u306b\u5f8c\u306b\u30d4\u30a8\u30fc\u30eb\u30c7\u30ea\u30b0\u30f3\u306b\u3088\u3063\u3066\u8a3c\u660e\u3055\u308c\u305f\u304b\u3092\u3069\u306e\u3088\u3046\u306b\u8868\u73fe\u3057\u305f\u304b\u3092\u793a\u3057\u307e\u3057\u305f\u3002 1970\u5e74\u306b\u3001\u5f7c\u306f\u30db\u30e2\u30b8\u30a7\u30cb\u30c3\u30af\u30d9\u30af\u30bf\u30fc\u30eb\u30fc\u30e0\uff08\u30db\u30e2\u30b8\u30e5\u30fc\u30e2\u30fc\u30bc\u30fc\u30b7\u30e7\u30f3\u30d9\u30af\u30c8\u30eb\u7a7a\u9593\u3001PVS\uff09\u3092\u5c0e\u5165\u3057\u307e\u3057\u305f\u3002\u6700\u5f8c\u306b\u3001\u30d9\u30af\u30c8\u30eb\u30eb\u30fc\u30e0\u306e\u4e00\u822c\u7684\u306a\u7dda\u5f62\u30b0\u30eb\u30fc\u30d7\u306e\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u306b\u5bc6\u306a\u958b\u3044\u305f\u8ecc\u9053\u304c\u3042\u308b\u5bf8\u6cd5\u30d9\u30af\u30c8\u30eb\u3092\u5c0e\u5165\u3057\u307e\u3057\u305f\u3002\u5f7c\u306f\u305d\u308c\u3092\u6570\u306e\u7406\u8ad6\u306b\u9069\u7528\u3057\u30011977\u5e74\u306b\u4e00\u3064\u3092\u9664\u3044\u3066\u6728\u6751\u30bf\u30c4\u30aa\u3068\u5206\u985e\u3055\u308c\u305fPVS\u3092\u5206\u985e\u3057\u307e\u3057\u305f \u30ad\u30e3\u30b9\u30c8\u30ea\u30f3\u30b0 \u540d\u524d\u4ed8\u304d\u5909\u63db\u3002 \u4f50\u85e4\u306f\u7269\u7406\u5b66\u304b\u3089\u5f7c\u306e\u52d5\u6a5f\u306e\u591a\u304f\u306b\u79fb\u308a\u307e\u3057\u305f\u3002\u6570\u5b66\u7269\u7406\u5b66\u3067\u306f\u3001\u5f7c\u306f\u30bd\u30ea\u30c8\u30f3\u65b9\u7a0b\u5f0f\uff08\u90e8\u5206\u7684\u306b\u306f\u59bb\u306e\u4f50\u85e4Yasuko Yasuko\uff09\u306b\u53d6\u308a\u7d44\u307f\u307e\u3057\u305f\u3002\u5f7c\u306e\u5b66\u6821\u3067\u3001\u5f7c\u306f1980\u5e74\u4ee3\u306b\u30ea\u30e7\u30b4\u30fb\u30d2\u30ed\u30bf\u306e\u30bd\u30ea\u30c8\u30f3\u65b9\u7a0b\u5f0f\u3092\u6eb6\u304b\u3059\u305f\u3081\u306e\u76f4\u63a5\u7684\u306a\u65b9\u6cd5\u3092\u958b\u767a\u3057\u3001\u8868\u73fe\u3068\u306f\u7121\u9650\u306b\u5bf8\u6cd5\u306e\u30e9\u30a4\u30d6\u30e9\u3068\u306e\u3064\u306a\u304c\u308a\u3092\u4f5c\u308a\u307e\u3057\u305f\u3002\u30c6\u30a3\u30c4\u30b8\u30fb\u30df\u30ef\u3068\u30df\u30b7\u30aa\u30fb\u30b8\u30f3\u30dc\u3068\u3068\u3082\u306b\u3001\u5f7c\u306f\u660e\u793a\u7684\u306b n {displaystyle n} -19\u4e16\u7d00\u306e\u30b7\u30e5\u30ec\u30b7\u30f3\u30ac\u30fc\u306e\u901a\u5e38\u306e\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u5909\u5f62\u7406\u8ad6\uff08\u30a4\u30bd\u30e2\u30ce\u30c9\u30ed\u30de\u3001\u3064\u307e\u308a\u30e2\u30ce\u30ed\u30de\u7fa4\u3092\u4fdd\u5b58\u3059\u308b\uff09\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u30012\u6b21\u5143ISING\u30e2\u30c7\u30eb\u306e\u30d1\u30f3\u30af\u76f8\u95a2\u95a2\u6570\u3002 \u904e\u6a5f\u80fd\u306e\u7406\u8ad6\u3002 1,2\u5dfb\u3001\u6771\u4eac\u5927\u5b66\u79d1\u5b66\u90e8\u96d1\u8a8c\u3001\u7b2c8\u5dfb\u30011959\/60\u3001pp\u3002139\u3001387\u3002 mit T. Kawai, M. Kashiwara: \u30de\u30a4\u30af\u30ed\u30d5\u30a1\u30af\u30b7\u30e7\u30f3\u3068\u507d\u5fae\u5206\u65b9\u7a0b\u5f0f\u3002 In: Komatsu (Hrsg.): \u30cf\u30a4\u30d1\u30fc\u30d5\u30a1\u30af\u30b7\u30e7\u30f3\u3068\u507d\u95a2\u6570\u65b9\u7a0b\u5f0f\u3002 Proceedings Katata 1971\u3001Springer-Verlag\u3001\u6570\u5b66\u306e\u8b1b\u7fa9\u30ce\u30fc\u30c8BD\u3002 287\u30011973\u3001S\u3002265\u2013529\u3002  KP{displaystyle kp} \u968e\u5c64\u3068\u7121\u9650\u306e\u5bf8\u6cd5\u30b0\u30e9\u30b9\u30de\u30f3\u30cb\u30a2\u30f3\u30de\u30cb\u30db\u30fc\u30eb\u30c9\u3002 \u306e\uff1a theta\u95a2\u6570\u3002 Bowdoin 1985 Conference\u3001Proceedings Symposia Pure Mathematics\u3001BD\u3002 49\u3001Teil 1\u3001AMS 1989\u3001S\u300251 mit Yasuko Sato: \u7121\u9650\u306e\u5bf8\u6cd5\u30b0\u30e9\u30b9\u30de\u30f3\u30de\u30cb\u30db\u30fc\u30eb\u30c9\u4e0a\u306e\u52d5\u7684\u30b7\u30b9\u30c6\u30e0\u3068\u3057\u3066\u306e\u30bd\u30ea\u30c8\u30f3\u65b9\u7a0b\u5f0f\u3002 \u306e\uff1a \u5fdc\u7528\u79d1\u5b66\u306e\u975e\u7dda\u5f62\u90e8\u5206\u5fae\u5206\u65b9\u7a0b\u5f0f\u3001\u30c8\u30ad\u30aa1982\u3002 \u30ce\u30fc\u30b9\u30db\u30e9\u30f3\u30c91983\u3001S\u3002259 MIT T. CANE\u3001M\u3002STATE\uff1a \u30db\u30ed\u30ce\u30df\u30c3\u30af\u91cf\u5b50\u30d5\u30a3\u30fc\u30eb\u30c9\u3002 Teil 1\u20135\u3001\u51fa\u7248\u7269Rims\u3001bd\u3002 14\u30011978\u3001S\u3002223\u3001bd\u3002 15\u30011979\u3001S\u3002201\u3001577\u3001871\u3001bd\u3002 16\u30011980\u3001S\u3002531 \u2191  Todesnachricht\u3002 \u306e\uff1a \u4eac\u90fd-U.C.JP\u3002 2023\u5e741\u670813\u65e5\u306b\u30a2\u30af\u30bb\u30b9 \uff08\u65e5\u672c\uff09\u3002   \u2191  \u30e9\u30fc\u30b9\u30fb\u30d8\u30eb\u30de\u30f3\u30c0\u30fc\u304b\u3089\u306e\u540c\u6642\u306b\u3001\u305d\u306e\u5f8c\u3001\u672c\u8cea\u7684\u306b\u958b\u767a\u3092\u652f\u914d\u3057\u3066\u3044\u307e\u3057\u305f\u3002  \u2191  \u30ed\u30b7\u30a2\u3067\u72ec\u7acb\u3057\u3066\u3044\u308b\u30b8\u30e7\u30bb\u30d5\u30fb\u30d0\u30fc\u30f3\u30b9\u30bf\u30a4\u30f3  \u2191  \u5f7c\u306f\u90e8\u5916\u8005\u3068\u3057\u3066\u5206\u6790\u306b\u53c2\u52a0\u3057\u307e\u3057\u305f\u3002\u5f7c\u306e\u30b9\u30dd\u30f3\u30b5\u30fc\u306e\u4f0a\u5c71\u306f\u3001\u5b9f\u969b\u306b\u306f\u9ad8\u6728\u306e\u5b66\u751f\u3068\u3057\u3066\u306e\u6570\u306e\u7406\u8ad6\u5bb6\u3067\u3057\u305f  1978\u5e74\uff1a\u30a4\u30b9\u30e9\u30a8\u30eb\u30e2\u30a4\u30bc\u30b8\u30a7\u30a6\u30a3\u30c3\u30b7\u30e5\u30b2\u30eb\u30d5\u30a1\u30f3\u30c9\u3001\u30ab\u30fc\u30eb\u30eb\u30fc\u30c8\u30f4\u30a3\u30d2\u30b7\u30fc\u30b2\u30eb|1979\uff1aJean Leray\u3001Andr\u00e9Weil|1980\u5e74\uff1a\u30a2\u30f3\u30ea\u30fb\u30ab\u30eb\u30bf\u30f3\u3001\u30a2\u30f3\u30c9\u30ec\u30a4\u30fb\u30cb\u30b3\u30e9\u30b8\u30a7\u30a6\u30a3\u30c3\u30b7\u30e5\u30fb\u30b3\u30eb\u30e2\u30b4\u30ed\u30a6|1981\uff1a\u30e9\u30fc\u30b9\u30fb\u30f4\u30a1\u30ec\u30ea\u30a2\u30f3\u30fb\u30a2\u30fc\u30eb\u30d5\u30a9\u30fc\u30b9\u3001\u30aa\u30b9\u30ab\u30fc\u30fb\u30b6\u30ea\u30b9\u30ad|1982\u5e74\uff1a\u30cf\u30b9\u30e9\u30fc\u30fb\u30db\u30a4\u30c3\u30c8\u30cb\u30fc\u3001\u30de\u30fc\u30af\u30fb\u30b0\u30ea\u30b4\u30ea\u30c3\u30c6\u30a3\u30b7\u30e5\u30fb\u30b1\u30ea\u30f3|1983\/4\uff1aShiing-Shen Chern\u3001PaulErd\u0151s|1984\/5\uff1a\u30b3\u30c0\u30a4\u30e9\u30fb\u30af\u30cb\u30d2\u30b3\u3001\u30cf\u30f3\u30b9\u30fb\u30ec\u30d3\u30fc|1986\uff1a\u30b5\u30df\u30e5\u30a8\u30eb\u30fb\u30a2\u30a4\u30ec\u30f3\u30d0\u30fc\u30b0\u3001\u30a2\u30c8\u30eb\u30fb\u30bb\u30eb\u30d0\u30fc\u30b0|1987\u5e74\uff1a\u4f0a\u85e4\u4eac\u90fd\u3001\u30d4\u30fc\u30bf\u30fc\u30fb\u30e9\u30c3\u30af\u30b9|1988\uff1a\u30d5\u30ea\u30fc\u30c9\u30ea\u30c3\u30d2\u30fb\u30d2\u30eb\u30bc\u30d6\u30eb\u30c1\u3001\u30e9\u30fc\u30b9\u30fb\u30d8\u30eb\u30de\u30f3\u30c0\u30fc|1989\uff1a\u30a2\u30eb\u30d9\u30eb\u30c8\u30fb\u30ab\u30eb\u30c7\u30ed\u30f3\u3001\u30b8\u30e7\u30f3\u30fb\u30a6\u30a3\u30e9\u30fc\u30c9\u30fb\u30df\u30eb\u30ca\u30fc|1990\uff1aEnnio de Giorgi\u3001Ilja Pjatetskij-Shapiro 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|2000\uff1a\u30e9\u30a6\u30eb\u30fb\u30dc\u30c3\u30c8\u3001\u30b8\u30e3\u30f3\u30fb\u30d4\u30a8\u30fc\u30eb\u30fb\u30bb\u30fc\u30eb|2001\u5e74\uff1a\u30a6\u30e9\u30b8\u30df\u30fc\u30eb\u30fb\u30a4\u30b4\u30ec\u30a6\u30a3\u30c3\u30c1\u30fb\u30a2\u30fc\u30ce\u30eb\u30c9\u3001\u30b5\u30cf\u30ed\u30f3\u30fb\u30b7\u30a7\u30e9|2002\/3\uff1a Mikio Sat\u014d \u3001\u30b8\u30e7\u30f3\u30fbT\u30fb\u30c6\u30a4\u30c8|2004\u5e74\uff1a\u8a31\u3055\u308c\u306a\u3044|2005\u5e74\uff1aGrigori Alexandrowitsch Margulis\u3001Sergei Petrowitsch Nowikow |2006\/7\uff1aStephen Smale\u3001Hillel Furstenberg |2008\u5e74\uff1a\u30d4\u30a8\u30fc\u30eb\u30fb\u30c7\u30ea\u30b0\u30cd\u3001\u30d5\u30a3\u30ea\u30c3\u30d7\u30fb\u30b0\u30ea\u30d5\u30a3\u30b9\u3001\u30c7\u30d3\u30c3\u30c9\u30fb\u30d6\u30e9\u30a4\u30a2\u30f3\u30c8\u30fb\u30de\u30f3\u30d5\u30a9\u30fc\u30c9|2009\u5e74\uff1a\u8a31\u3055\u308c\u306a\u3044|2010\uff1aShing Tunement Yau\u3001Dennis Sullivan 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