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<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue"">幾何MLの皆様</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue";min-height:15px"><br></p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue"">千葉大学の二木と申します.</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue"">下記の要領で千葉大学幾何学セミナーを行いますので, ご案内申し上げます.</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue"">（重複して受け取られた場合はご容赦ください. ）</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue"">本セミナーは対面で行い, 同時にzoomで配信します. 対面, オンラインいずれでの参</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue"">加を希望される場合でも, 下記のリンク先からご登録ください. 対面での参加は, セ</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue"">ミナー室の収容定員に達し次第締め切ります.</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue";min-height:15px"><br></p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue"">日時：2022年6月10日（金）午後2時30分〜午後4時</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue"">場所：千葉大学理学部1号館3階321セミナー室</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue";min-height:15px"><br></p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue"">講演者：佐野岳人氏（理研iTHEMS）</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue"">題目：Bar-Natan ホモトピー型の構成</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue"">アブストラクト：2000年，Khovanov は Jones 多項式の圏論化として Khovanov ホモロジー を構成した．2014 年に Lipshitz-Sarkar はさらに Khovanov ホモロジーの空間的実現である Khovanov ホモトピー型 を構成した．Khovanov ホモトピー型は空間（有限 CW スペクトラム）であって，その被約コホモロジー群が Khovanov ホモロジーを復元する．Khovanov ホモロジーにはいくつかの変種があるが，これらに対してもホモトピー型が構成できるかどうかは未解決であった．講演者は 2021年 の論文で，変種の一つである Bar-Natan ホモロジーに対して，その空間的実現である Bar-Natan ホモトピー型 を構成した．当講演ではこの構成の概要を話し，今後の課題として Bar-Natan ホモトピー型を用いた Rasmussen 不変量の空間的持ち上げについても触れる．</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue";min-height:15px"><br></p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue"">世話人：梶浦宏成, 二木昌宏</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue";min-height:15px"><br></p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue"">登録URL：</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue""><a href="https://docs.google.com/forms/d/1JfAdX-fO9RdLcrKvJzFTUMApbiABYDXaG0aG1bdzzyU/edit" target="_blank">https://docs.google.com/forms/d/1JfAdX-fO9RdLcrKvJzFTUMApbiABYDXaG0aG1bdzzyU/edit</a></p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue"">セミナーのページ：<a href="https://sites.google.com/site/masahirofutaki/home/geometry-chiba" target="_blank">https://sites.google.com/site/masahirofutaki/home/geometry-chiba</a></p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue";min-height:15px"><br></p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue"">二木昌宏</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue"">Masahiro FUTAKI</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue"">Department of Mathematics and Informatics,</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue"">Graduate School of Science, Chiba University</p>
<p style="margin:0px;font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:13px;line-height:normal;font-family:"Helvetica Neue"">1-33 Yayoi-cho, Inage, Chiba, 2638522 Japan</p></div>