<html><head><meta http-equiv="content-type" content="text/html; charset=utf-8"></head><body style="overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><meta http-equiv="content-type" content="text/html; charset=utf-8"><div style="overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><meta http-equiv="content-type" content="text/html; charset=utf-8"><div style="overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><meta http-equiv="content-type" content="text/html; charset=utf-8"><div style="overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><meta http-equiv="content-type" content="text/html; charset=utf-8"><div style="overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><meta http-equiv="content-type" content="text/html; charset=utf-8"><div style="overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><meta http-equiv="content-type" content="text/html; charset=utf-8"><div style="overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><meta http-equiv="content-type" content="text/html; charset=utf-8"><div style="overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><meta http-equiv="content-type" content="text/html; charset=utf-8"><div style="overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;">
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<div dir="auto">皆様<br>
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東大数理・複素解析幾何セミナーのお知らせです。</div><div dir="auto"><h3 style="margin: 3px 0px 8px; padding: 5px 0px; font-stretch: inherit; font-size: 14px; line-height: inherit; font-family: メイリオ, Meiryo, "ヒラギノ角ゴ Pro W3", "Hiragino Kaku Gothic Pro", Osaka, "ＭＳ Ｐゴシック", "MS PGothic", Helvetica, Arial, sans-serif; font-size-adjust: inherit; font-kerning: inherit; font-variant-alternates: inherit; font-variant-ligatures: inherit; font-variant-numeric: inherit; font-variant-east-asian: inherit; font-variant-position: inherit; font-feature-settings: inherit; font-optical-sizing: inherit; font-variation-settings: inherit; vertical-align: baseline; border-top-width: 1px; border-top-style: dotted; border-top-color: rgb(33, 127, 196); border-bottom-width: 1px; border-bottom-style: dotted; border-bottom-color: rgb(33, 127, 196); overflow: hidden; caret-color: rgb(51, 51, 51); color: rgb(51, 51, 51);">2023年07月10日(月)</h3><h3 style="margin: 3px 0px 8px; padding: 5px 0px; font-stretch: inherit; font-size: 14px; line-height: inherit; font-family: メイリオ, Meiryo, "ヒラギノ角ゴ Pro W3", "Hiragino Kaku Gothic Pro", Osaka, "ＭＳ Ｐゴシック", "MS PGothic", Helvetica, Arial, sans-serif; font-size-adjust: inherit; font-kerning: inherit; font-variant-alternates: inherit; font-variant-ligatures: inherit; font-variant-numeric: inherit; font-variant-east-asian: inherit; font-variant-position: inherit; font-feature-settings: inherit; font-optical-sizing: inherit; font-variation-settings: inherit; vertical-align: baseline; border-top-width: 1px; border-top-style: dotted; border-top-color: rgb(33, 127, 196); border-bottom-width: 1px; border-bottom-style: dotted; border-bottom-color: rgb(33, 127, 196); overflow: hidden; caret-color: rgb(51, 51, 51); color: rgb(51, 51, 51);"><div class="seminar_naiyo" style="font-weight: 400; margin: 0px 0px 20px; padding: 0px; font-stretch: inherit; font-size: 13px; line-height: inherit; font-size-adjust: inherit; font-kerning: inherit; font-variant-alternates: inherit; font-variant-ligatures: inherit; font-variant-numeric: inherit; font-variant-east-asian: inherit; font-variant-position: inherit; font-feature-settings: inherit; font-optical-sizing: inherit; font-variation-settings: inherit; vertical-align: baseline;">10:30-12:00 数理科学研究科棟(駒場) 128号室<br><strong style="margin: 0px; padding: 0px; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; font-size: inherit; line-height: inherit; font-family: inherit; font-size-adjust: inherit; font-kerning: inherit; font-variant-alternates: inherit; font-variant-ligatures: inherit; font-variant-numeric: inherit; font-variant-east-asian: inherit; font-variant-position: inherit; font-feature-settings: inherit; font-optical-sizing: inherit; font-variation-settings: inherit; vertical-align: baseline;">吉川謙一 氏</strong> (京都大学)<br>リーマン面の退化とラプラシアンの小さい固有値 (日本語)<br><div class="waku" style="margin: 5px 0px 8px; padding: 9px; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; font-size: inherit; line-height: inherit; font-family: inherit; font-size-adjust: inherit; font-kerning: inherit; font-variant-alternates: inherit; font-variant-ligatures: inherit; font-variant-numeric: inherit; font-variant-east-asian: inherit; font-variant-position: inherit; font-feature-settings: inherit; font-optical-sizing: inherit; font-variation-settings: inherit; vertical-align: baseline; border: 1px solid rgb(204, 204, 204); background-color: rgb(239, 239, 239);">[ 講演概要 ]<br>この講演では、非特異射影曲面からコンパクトなリーマン面への正則写像を考える。特異ファイバーの近くでは、これをコンパクトなリーマン面の一変数退化とみなすのとができる。この族の全空間である非特異射影曲面にケーラー計量を一つ固定し、各ファイバーにそれから誘導されるケーラー計量が与えられているとする。この設定で、各ファイバーに対して、各ファイバー上の関数に作用するラプラシアンを考えることができる。各kに対して、ラプラシアンの第k固有値は底空間上の連続関数に拡張することが知られている。特に、特異ファイバーが既約でない場合、通常ファイバーが特異ファイバーに近づくとき、通常フィバーのラプラシアンの固有値のいくつかは0に収束する。このような固有値を小さい固有値と呼ぶ。この講演では、特異ファイバーが被約な場合に、ラプラシアンの小さい固有値すべての積の漸近挙動について説明する。</div></div></h3><h3 style="margin: 3px 0px 8px; padding: 5px 0px; font-stretch: inherit; font-size: 14px; line-height: inherit; font-family: メイリオ, Meiryo, "ヒラギノ角ゴ Pro W3", "Hiragino Kaku Gothic Pro", Osaka, "ＭＳ Ｐゴシック", "MS PGothic", Helvetica, Arial, sans-serif; font-size-adjust: inherit; font-kerning: inherit; font-variant-alternates: inherit; font-variant-ligatures: inherit; font-variant-numeric: inherit; font-variant-east-asian: inherit; font-variant-position: inherit; font-feature-settings: inherit; font-optical-sizing: inherit; font-variation-settings: inherit; vertical-align: baseline; border-top-width: 1px; border-top-style: dotted; border-top-color: rgb(33, 127, 196); border-bottom-width: 1px; border-bottom-style: dotted; border-bottom-color: rgb(33, 127, 196); overflow: hidden; caret-color: rgb(51, 51, 51); color: rgb(51, 51, 51);"><a href="https://u-tokyo-ac-jp.zoom.us/meeting/register/tZEqceqsrTIjEtRxenSMdPogvCxlWzAogj5A" style="font-family: inherit; font-size: inherit; margin: 0px; padding: 0px; font-style: inherit; font-variant-caps: inherit; font-stretch: inherit; line-height: inherit; font-size-adjust: inherit; font-kerning: inherit; font-variant-alternates: inherit; font-variant-ligatures: inherit; font-variant-numeric: inherit; font-variant-east-asian: inherit; font-variant-position: inherit; font-feature-settings: inherit; font-optical-sizing: inherit; font-variation-settings: inherit; vertical-align: baseline; color: rgb(33, 127, 196); text-decoration: none;">https://u-tokyo-ac-jp.zoom.us/meeting/register/tZEqceqsrTIjEtRxenSMdPogvCxlWzAogj5A</a></h3><h3 style="margin: 3px 0px 8px; padding: 5px 0px; font-stretch: inherit; font-size: 14px; line-height: inherit; font-family: メイリオ, Meiryo, "ヒラギノ角ゴ Pro W3", "Hiragino Kaku Gothic Pro", Osaka, "ＭＳ Ｐゴシック", "MS PGothic", Helvetica, Arial, sans-serif; font-size-adjust: inherit; font-kerning: inherit; font-variant-alternates: inherit; font-variant-ligatures: inherit; font-variant-numeric: inherit; font-variant-east-asian: inherit; font-variant-position: inherit; font-feature-settings: inherit; font-optical-sizing: inherit; font-variation-settings: inherit; vertical-align: baseline; border-top-width: 1px; border-top-style: dotted; border-top-color: rgb(33, 127, 196); border-bottom-width: 1px; border-bottom-style: dotted; border-bottom-color: rgb(33, 127, 196); overflow: hidden; caret-color: rgb(51, 51, 51); color: rgb(51, 51, 51);">URL・ID・パスワードなどは１年間同じものを使うので登録は一度で大丈夫です．</h3>
今後の予定はこちら<br>
<a href="https://www.ms.u-tokyo.ac.jp/seminar/geocomp/future.html" target="_blank">https://www.ms.u-tokyo.ac.jp/seminar/geocomp/future.html</a><br>
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講演者も募集中です。<br>
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世話人<br>
平地 健吾、高山 茂晴</div>
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