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id="d-container"> <div class="inner clearfix"> <div class="infobox"> <div class="article" frag="窗口9" portletmode="simpleArticleAttri"> <h1 class="arti_title">11-20【Charles Cifarelli】Shrinking gradient K\</h1> <h2 class="arti_title"></h2> <p class="arti_metas"><span class="arti_update">发布时间：2020-11-17</span><span class="arti_publisher">来源：几何与物理研究中心中文网页</span><span class="arti_views">浏览次数：<span class="WP_VisitCount" url="/_visitcountdisplay?siteId=693&type=3&articleId=532445">45</span></span></p> <div class="entry"> <div class="read"><div class='wp_articlecontent'><p style="padding:0px;color:#212529;line-height:1.8;font-family:roboto,sans-serif;font-size:16px;box-sizing:border-box;text-shadow:0px 0px 1px rgba(0,0,0,0.01);-webkit-tap-highlight-color:rgba(0, 0, 0, 0);background-color:#ffffff;margin-top:0px;margin-bottom:0px;"><span style="box-sizing:border-box;margin:0px;padding:0px;-webkit-font-smoothing:antialiased;text-shadow:rgba(0, 0, 0, 0.01) 0px 0px 1px;color:rgba(0, 0, 0, 0.87);font-weight:bold;">报告人：</span><span style="box-sizing:border-box;margin:0px;padding:0px;-webkit-font-smoothing:antialiased;text-shadow:rgba(0, 0, 0, 0.01) 0px 0px 1px;">Charles Cifarelli (UC Berkeley)</span></p><p style="padding:0px;color:#212529;line-height:1.8;font-family:roboto,sans-serif;font-size:16px;box-sizing:border-box;text-shadow:0px 0px 1px rgba(0,0,0,0.01);-webkit-tap-highlight-color:rgba(0, 0, 0, 0);background-color:#ffffff;margin-top:0px;margin-bottom:0px;"><span style="box-sizing:border-box;margin:0px;padding:0px;-webkit-font-smoothing:antialiased;text-shadow:rgba(0, 0, 0, 0.01) 0px 0px 1px;color:rgba(0, 0, 0, 0.87);font-weight:bold;">时间：</span><span style="box-sizing:border-box;margin:0px;padding:0px;-webkit-font-smoothing:antialiased;text-shadow:rgba(0, 0, 0, 0.01) 0px 0px 1px;">2020年11月20日, 周五，上午7：50-9：20</span></p><p style="padding:0px;color:#212529;line-height:1.8;font-family:roboto,sans-serif;font-size:16px;box-sizing:border-box;text-shadow:0px 0px 1px rgba(0,0,0,0.01);-webkit-tap-highlight-color:rgba(0, 0, 0, 0);background-color:#ffffff;margin-top:0px;margin-bottom:0px;"><span style="box-sizing:border-box;margin:0px;padding:0px;-webkit-font-smoothing:antialiased;text-shadow:rgba(0, 0, 0, 0.01) 0px 0px 1px;color:rgba(0, 0, 0, 0.87);font-weight:bold;">地点：</span><span style="box-sizing:border-box;margin:0px;padding:0px;-webkit-font-smoothing:antialiased;text-shadow:rgba(0, 0, 0, 0.01) 0px 0px 1px;"> 腾讯会议账号:950 391 9321 ; 密码112358 / 五教 5405</span></p><p style="box-sizing:border-box;margin-top:20px;padding:0px;-webkit-font-smoothing:antialiased;text-shadow:rgba(0, 0, 0, 0.01) 0px 0px 1px;-webkit-tap-highlight-color:rgba(0, 0, 0, 0);font-family:roboto, sans-serif;font-size:16px;line-height:1.8;color:#212529;background-color:#ffffff;text-indent:2em;margin-bottom:0px;"><br /></p><p style="box-sizing:border-box;margin-top:20px;padding:0px;-webkit-font-smoothing:antialiased;text-shadow:rgba(0, 0, 0, 0.01) 0px 0px 1px;-webkit-tap-highlight-color:rgba(0, 0, 0, 0);font-family:roboto, sans-serif;font-size:16px;line-height:1.8;color:#212529;background-color:#ffffff;text-indent:2em;margin-bottom:0px;"> </p><p style="padding:0px;color:#212529;line-height:1.75em;font-family:roboto,sans-serif;font-size:16px;box-sizing:border-box;text-shadow:0px 0px 1px rgba(0,0,0,0.01);-webkit-tap-highlight-color:rgba(0, 0, 0, 0);background-color:#ffffff;margin-top:0px;margin-bottom:0px;"><span style="margin:0px;padding:0px;line-height:1.75em;font-family:微软雅黑,microsoft yahei;font-size:16px;box-sizing:border-box;text-shadow:0px 0px 1px rgba(0,0,0,0.01);">Toric manifolds form an important class of complex manifolds with large symmetry. For compact manifolds, there is a well-known procedure which exploits this symmetry to better understand invariant K\ahler metrics. I will give a brief survey of these results on a compact manifold $M$ and then move on to study the situation when $M$ is non-compact, with an emphasis on understanding shrinking gradient K\ahler-Ricci solitons. There is a rich theory for such metrics in the compact setting, but the non-compact case is less well understood. In this talk, after providing some background, I will describe my recent work on the uniqueness of shrinking gradient K\ahler-Ricci solitons on non-compact toric manifolds.</span></p><p><br /></p></div></div> </div> </div> </div> </div> </div>   <div class="wrapper footer" id="footer"> <div class="inner"> <div class="mod clearfix"> <div class="foot-left"> <img src="/_upload/tpl/0d/1b/3355/template3355/./images/logo_b.png"> </div> <div class="foot-center"> <p class="copyright"><span>版权所有 ©中国科学技术大学几何与物理研究中心 </span></p> <p class="copyright"><span>地址：安徽省合肥市金寨路96号</span><span>邮编：230026</span></p> <p class="copyright"><span> 上海市浦东新区康桥镇秀浦路99号邮编：201315</span></p> <p class="copyright"><span>电话：+86-551-63606117</span></p> </div> <div class="foot-center2 post-92" frag="窗口92"> <p class="copyright"><span>友情链接</span></p> <div id="wp_news_w92"> <ul> <li class="i1"> <p><a href='https://www.ustc.edu.cn/' target='_blank' title='中国科学技术大学'>中国科学技术大学</a></p> </li> <li class="i2"> <p><a href='https://math.ustc.edu.cn/' target='_blank' title='中国科学技术大学数学科学学院 '>中国科学技术大学数学科学学院 </a></p> </li> </ul> </div> </div> <div class="foot-right" frag="窗口91"> <div class=""> <div id="wp_news_w91"> <ul> <li class="i1"> <img src='/_upload/article/images/52/12/0e65bb854d7c9bafb76efe0a90dd/200811ba-ba82-451d-9b9d-47b47d591579_s.png' width='148' /> </li> </ul> </div> </div> </div> </div> </div> </div>  </body> <script type="text/javascript" src="/_upload/tpl/0d/1b/3355/template3355/js/comcus.js"></script> <script type="text/javascript" src="/_upload/tpl/0d/1b/3355/template3355/js/list.js"></script> <script type="text/javascript" src="/_upload/tpl/0d/1b/3355/template3355/js/app.js"></script> <script type="text/javascript"> $(function(){ // 初始化SDAPP new SDAPP({ "menu":{ type:"slide,aside" } }); }); </script> </html> <img src="/_visitcount?siteId=693&type=3&articleId=532445" style="display:none" width="0" height="0"/>