{"id":1766,"date":"2026-11-12T17:35:49","date_gmt":"2026-11-12T08:35:49","guid":{"rendered":"https:\/\/dept.tus.ac.jp\/st-ma\/?p=1766"},"modified":"2026-11-12T17:41:45","modified_gmt":"2026-11-12T08:41:45","slug":"2026-11-25-%e8%ab%87%e8%a9%b1%e4%bc%9a","status":"publish","type":"post","link":"https:\/\/dept.tus.ac.jp\/st-ma\/2026\/11\/12\/2026-11-25-%e8%ab%87%e8%a9%b1%e4%bc%9a\/","title":{"rendered":"2026.11.25 \u8ac7\u8a71\u4f1a"},"content":{"rendered":"\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody style=\"--tbody-th-color--bg:var(--color_main_thin);--tbody-th-color--txt:var(--swl-text_color--black)\"><tr><th>\u6c0f\u540d\uff1a<\/th><td>Azizul Hoque \u6c0f (Gauhati University)<\/td><\/tr><tr><th>\u984c\u76ee\uff1a<\/th><td>Iizuka&#8217;s conjecture and beyond: new results and geometric perspectives<\/td><\/tr><tr><th>\u65e5\u6642\uff1a<\/th><td>2026\u5e7411\u670825\u65e5 (\u6c34) 15:30 \uff5e16:30<\/td><\/tr><tr><th>\u5834\u6240\uff1a<\/th><td>\u6771\u4eac\u7406\u79d1\u5927\u5b66\u91ce\u7530\u30ad\u30e3\u30f3\u30d1\u30b9\uff14\u53f7\u9928\uff13\u968e\u3000\u6570\u7406\u79d1\u5b66\u79d1\u30bb\u30df\u30ca\u30fc\u5ba4<\/td><\/tr><tr><th>\u6982\u8981\uff1a<\/th><td>Iizuka&#8217;s conjecture asserts that, for any prime number p and any positive integer m, there exists an infinite family of m+1 successive real (or imaginary) quadratic fields Q(\\sqrt{d}),\u3000Q(\\sqrt{d+1}), &#8230; ,Q(\\sqrt{d+m}) with<br>d\u2208Z, whose class numbers are all divisible by p.<br><br>In this talk, we will discuss some results surrounding Iizuka&#8217;s conjecture, including its generalization and the construction of infinite families of imaginary quadratic fields with prescribed class group properties. We will then explore how this arithmetic question leads naturally to geometric set up through the study of Chow groups and Picard groups of algebraic surfaces.<br><br>This talk is based on some joint work with K. Banerjee and K. Chakraborty.<\/td><\/tr><tr><th>\u5171\u50ac\uff1a<\/th><td>\u6771\u4eac\u7406\u79d1\u5927\u5b66\u7dcf\u5408\u7814\u7a76\u9662\u3000\u4ee3\u6570\u5b66\u9023\u643a\u7814\u7a76\u90e8\u9580\u3068\u306e\u5171\u50ac<br>\u7814\u7a76\u96c6\u4f1a\u300c2026 International workshop<br>on Algebra at TUS-Noda\u300d\u4e2d\u306e\u4e00\u8b1b\u6f14<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>2026\u5e7411\u670825\u65e5\u306bAzizul Hoque\u6c0f\uff08Gauhati University\uff09\u306b\u3088\u308b\u8ac7\u8a71\u4f1a\u3092\u958b\u50ac\u3057\u307e\u3059\u3002<\/p>\n","protected":false},"author":129,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"swell_btn_cv_data":"","footnotes":""},"categories":[25],"tags":[],"class_list":["post-1766","post","type-post","status-publish","format-standard","hentry","category-danwa2026"],"acf":[],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.4 - 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