{"id":949,"date":"2023-12-05T14:08:20","date_gmt":"2023-12-05T05:08:20","guid":{"rendered":"https:\/\/dept.tus.ac.jp\/st-ma\/?p=949"},"modified":"2023-12-15T09:50:17","modified_gmt":"2023-12-15T00:50:17","slug":"2023-12-13","status":"publish","type":"post","link":"https:\/\/dept.tus.ac.jp\/st-ma\/2023\/12\/05\/2023-12-13\/","title":{"rendered":"2023.12.13"},"content":{"rendered":"\n<figure class=\"wp-block-table\"><table><tbody><tr><td><span class=\"u-nowrap\">\u8b1b\u6f14\u8005<\/span><span class=\"u-nowrap\">\uff1a<\/span><\/td><td>\u53e4\u8c37 \u8ce2\u6717 \u6c0f\uff08\u5927\u962a\u516c\u7acb\u5927\u5b66 \u6570\u5b66\u7814\u7a76\u6240\uff0f\u6771\u4eac\u7406\u79d1\u5927\u5b66\u540d\u8a89\u6559\u6388\uff09<\/td><\/tr><tr><td><span class=\"u-nowrap\">\u8b1b\u6f14\u984c\u76ee\uff1a<\/span><\/td><td>Invariant integral lattices in pseudo&nbsp;H-type Lie algebras: <br>construction and classification<\/td><\/tr><tr><td>\u65e5\u6642\uff1a<\/td><td>2023\u5e7412\u670813\u65e5\uff08\u6c34\uff0916:30\uff5e17:30<\/td><\/tr><tr><td>\u5834\u6240\uff1a<\/td><td>\u6771\u4eac\u7406\u79d1\u5927\u5b66\u91ce\u7530\u30ad\u30e3\u30f3\u30d1\u30b94\u53f7\u99283\u968e\u6570\u7406\u79d1\u5b66\u79d1\u30bb\u30df\u30ca\u30fc\u5ba4<\/td><\/tr><tr><td>\u6982\u8981\uff1a<\/td><td>Pseudo&nbsp;H-type Lie algebras are a special class of 2-step nilpotent metric Lie algebras, intimately related to Clifford algebras&nbsp;Cl_r,s.<br>In this talk, after overviewing the known properties of these algebras, I explain a scheme to construct and classify invariant orthogonal lattices of these algebras and show the all explicit lattices for lower dimensional cases.<br>If time allows, as an application of this study, I will explain some property of the spectral zeta function of the sub-Laplacian on the corresponding compact nil-manifolds.<br>The main part of this talk is based on a joint work with Prof. Irina Markina (University of Bergen, Norway).<\/td><\/tr><tr><td>\u5171\u50ac\uff1a<\/td><td>\u6771\u4eac\u7406\u79d1\u5927\u5b66\u5e7e\u4f55\u5b66\u30bb\u30df\u30ca\u30fc<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-gallery columns-3 is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\"><ul class=\"blocks-gallery-grid\"><li class=\"blocks-gallery-item\"><figure><img decoding=\"async\" width=\"1024\" height=\"768\" src=\"\/upfiles\/sites\/23\/2023\/12\/IMG_4246-1024x768.jpg\" alt=\"\" data-id=\"995\" data-link=\"https:\/\/dept.tus.ac.jp\/st-ma\/2023\/12\/05\/2023-12-13\/img_4246\/\" class=\"wp-image-995\" srcset=\"\/upfiles\/sites\/23\/2023\/12\/IMG_4246-1024x768.jpg 1024w, \/upfiles\/sites\/23\/2023\/12\/IMG_4246-300x225.jpg 300w, \/upfiles\/sites\/23\/2023\/12\/IMG_4246-768x576.jpg 768w, \/upfiles\/sites\/23\/2023\/12\/IMG_4246-1536x1152.jpg 1536w, \/upfiles\/sites\/23\/2023\/12\/IMG_4246-2048x1536.jpg 2048w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"blocks-gallery-item\"><figure><img decoding=\"async\" width=\"1024\" height=\"768\" src=\"\/upfiles\/sites\/23\/2023\/12\/IMG_4247-1024x768.jpg\" alt=\"\" data-id=\"996\" data-link=\"https:\/\/dept.tus.ac.jp\/st-ma\/2023\/12\/05\/2023-12-13\/img_4247\/\" class=\"wp-image-996\" srcset=\"\/upfiles\/sites\/23\/2023\/12\/IMG_4247-1024x768.jpg 1024w, \/upfiles\/sites\/23\/2023\/12\/IMG_4247-300x225.jpg 300w, \/upfiles\/sites\/23\/2023\/12\/IMG_4247-768x576.jpg 768w, \/upfiles\/sites\/23\/2023\/12\/IMG_4247-1536x1152.jpg 1536w, \/upfiles\/sites\/23\/2023\/12\/IMG_4247-2048x1536.jpg 2048w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><li class=\"blocks-gallery-item\"><figure><img decoding=\"async\" width=\"1024\" height=\"768\" src=\"\/upfiles\/sites\/23\/2023\/12\/IMG_4249-1024x768.jpg\" alt=\"\" data-id=\"998\" data-full-url=\"\/upfiles\/sites\/23\/2023\/12\/IMG_4249-scaled.jpg\" data-link=\"https:\/\/dept.tus.ac.jp\/st-ma\/2023\/12\/05\/2023-12-13\/img_4249\/\" class=\"wp-image-998\" srcset=\"\/upfiles\/sites\/23\/2023\/12\/IMG_4249-1024x768.jpg 1024w, \/upfiles\/sites\/23\/2023\/12\/IMG_4249-300x225.jpg 300w, \/upfiles\/sites\/23\/2023\/12\/IMG_4249-768x576.jpg 768w, \/upfiles\/sites\/23\/2023\/12\/IMG_4249-1536x1152.jpg 1536w, \/upfiles\/sites\/23\/2023\/12\/IMG_4249-2048x1536.jpg 2048w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/li><\/ul><\/figure>\n\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>2023\u5e7412\u670813\u65e5\u306b\u53e4\u8c37 \u8ce2\u6717 \u6c0f\uff08\u5927\u962a\u516c\u7acb\u5927\u5b66 \u6570\u5b66\u7814\u7a76\u6240\uff0f\u6771\u4eac\u7406\u79d1\u5927\u5b66\u540d\u8a89\u6559\u6388\uff09\u306b\u3088\u308b\u8ac7\u8a71\u4f1a\u3092\u958b\u50ac\u3057\u307e\u3059\u3002<\/p>\n","protected":false},"author":134,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"swell_btn_cv_data":"","footnotes":""},"categories":[13],"tags":[],"class_list":["post-949","post","type-post","status-publish","format-standard","hentry","category-danwa2023"],"acf":[],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.4 - aioseo.com -->\n\t<meta name=\"description\" content=\"2023\u5e7412\u670813\u65e5\u306b\u53e4\u8c37 \u8ce2\u6717 \u6c0f\uff08\u5927\u962a\u516c\u7acb\u5927\u5b66 \u6570\u5b66\u7814\u7a76\u6240\uff0f\u6771\u4eac\u7406\u79d1\u5927\u5b66\u540d\u8a89\u6559\u6388\uff09\u306b\u3088\u308b\u8ac7\u8a71\u4f1a\u3092\u958b\u50ac\u3057\u307e\u3059\u3002\" \/>\n\t<meta name=\"robots\" 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