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class="arti_title"></h2> <p class="arti_metas"><span class="arti_publisher"></span><span class="arti_update">Time：2020-11-17</span><span class="arti_views">Views：<span class="WP_VisitCount" url="/_visitcountdisplay?siteId=692&type=3&articleId=539616">22</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;font-family:arial, helvetica, sans-serif;">Speaker：</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;font-family:arial, helvetica, sans-serif;">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;font-family:arial, helvetica, sans-serif;">Time：</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;font-family:arial, helvetica, sans-serif;">7：50-9：20, November 20, 2020</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;font-family:arial, helvetica, sans-serif;">Room：</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;font-family:arial, helvetica, sans-serif;">Tencent Meeting: 950 391 9321,Password:112358 & 5405，the fifth teaching building</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-size:16px;line-height:1.8;color:#212529;background-color:#ffffff;text-indent:2em;font-family:arial, helvetica, sans-serif;margin-bottom:0px;"> </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-size:16px;line-height:1.8;color:#212529;background-color:#ffffff;text-indent:2em;font-family:arial, helvetica, sans-serif;margin-bottom:0px;"><br /></p><p style="padding:0px;text-align:justify;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/89/3465/template3465/./images/logo_b.png"> </div> <div class="foot-center"> <p class="copyright"><span>Copyright © 2019 University of Science and Technology of China.</span></p> <p class="copyright"><span>Address：No.96, JinZhai Road, Baohe District, Hefei, Anhui, 230000, P.R.China</span></p> <p class="copyright"><span> No.99, Xiupu Road, Kangqiao Town, Pudong New Area,Shanghai,200000,P.R.China</span></p> <p class="copyright"><span>Zip code：230026</span></p> <p class="copyright"><span>Tel：+86-551-63606117</span></p> </div> <div class="foot-center2 post-92" frag="窗口92" portletmode="simpleNews" configs="{'c8':'1','c42':'320','c25':'320','c30':'0','c29':'1','c22':'0','c23':'1','c34':'300','c20':'0','c31':'0','c16':'1','c3':'2','c2':'标题','c27':'480','c43':'0','c17':'0','c5':'_blank','c24':'240','c32':'','c26':'1','c37':'1','c28':'640','c40':'1','c15':'0','c14':'1','c44':'0','c33':'500','c10':'50','c18':'yyyy-MM-dd','c36':'0','c1':'1','c6':'25','c19':'yyyy-MM-dd','c21':'0','c4':'1','c35':'-1:-1','c39':'300','c38':'100','c7':'1','c12':'0','c9':'0','c11':'1','c13':'200','c41':'240'}" contents="{'c2':'0'}"> <p class="copyright">Useful Link</p> <div id="wp_news_w92"> <ul> <li class="i1"> <p><a href='http://math.ustc.edu.cn/' target='_blank' title='School of Mathematical Sciences, USTC'>School of Mathematical Sciences, USTC</a></p> </li> <li class="i2"> <p><a href='https://www.ustc.edu.cn/' target='_blank' title='University of Science and Technology of China'>University of Science and Technology of China</a></p> </li> </ul> </div> </div> <div class="foot-right" frag="窗口91" portletmode="simpleNews" configs="{'c8':'0','c42':'320','c25':'148','c30':'0','c29':'0','c22':'0','c23':'4','c34':'300','c20':'0','c31':'0','c16':'1','c3':'1','c2':'标题,缩略图','c27':'480','c43':'0','c17':'0','c5':'_blank','c24':'14','c32':'','c26':'1','c37':'1','c28':'640','c40':'1','c15':'0','c14':'1','c44':'0','c33':'500','c10':'50','c18':'yyyy-MM-dd','c36':'0','c1':'1','c6':'15','c19':'yyyy-MM-dd','c21':'0','c4':'1','c35':'-1:-1','c39':'300','c38':'100','c7':'1','c12':'0','c9':'0','c11':'1','c13':'200','c41':'240'}" contents="{'c2':'0'}"> <div class=""> <div id="wp_news_w91"> <ul> <li class="i1"> <img src='/_upload/article/images/86/02/f2ee39814d7a815ff74442036651/65fe0853-45df-41e8-8377-420bcc3493d9_s.png' width='148' /> </li> </ul> </div> </div> </div> </div> </div> </div>  </body> <script type="text/javascript" src="/_upload/tpl/0d/89/3465/template3465/js/comcus.js"></script> <script type="text/javascript" src="/_upload/tpl/0d/89/3465/template3465/js/list.js"></script> <script type="text/javascript" src="/_upload/tpl/0d/89/3465/template3465/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=692&type=3&articleId=539616" style="display:none" width="0" height="0"/>