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yabo88登陆

2020年11月04日
yabo88登陆几何与物理中心团队在里奇流研究中取得重大突破

yabo88登陆jinri,yabo88denglujiheyuwuliyanjiuzhongxinchuangshizhurenchenxiuxiongjiaoshouyuwangbingjiaoshouguanyugaoweikaileliqiliushoulianxingdelunwen“space of ricci flows (ii)—part b: weak compactness of the flows”yuguojizhimingshuxueqikan《weifenjihexuezazhi》(journal of differential geometry)fabiao。gaiqikanshijihexuelingyudedingjiankanwu,fabiaoguoduopianhuashidaideshuxuelunwen,ruhamierdunguanyuliqiliudedianjixinggongzuo。

陈秀雄与王兵的论文率先解决了哈密尔顿-田猜想(Hamilton-Tian conjecture)和偏零阶估计猜想(Partial C0-conjecture)。这些均为几何分析领域二十余年悬而未决的核心猜想。该论文篇幅超过120页,从投稿到正式发表耗时六年。论文的审稿人评论“该文是几何分析领域内的重大进展,毫无疑问将激发诸多相关工作”。菲尔兹奖得主唐纳森也多次在媒体和文章中称赞此文为“几何领域近年来的重大突破”。

zheipianwenzhangyinjinlezhongduoxindesixianghefangfa,duijihefenxi,youqishiliqiliudeyanjiuyijingchanshengleshenyuandeyingxiang。shishishang,liyongzheipianwenzhangdejieguo,chenxiuxiong、wangbinghesunsong(02shao)jichuqiuchengtongwendingxingcaixiangjiyuliqiliudexinzhengming,bingfabiaozaixingyedingjiankanwu《jiheyutuopu》(geometry and topology)shang。qiuchengtongwendingxingcaixiangdediyigezhengmingyouchenxiuxiong,tangnasenhesunsongjichu。tamendezhengmingdedaolexuejiedeshoukenyinerweitamenyingdeleshengyuzhuozhudeweibulunjihejiang。ciwai,lunwendehexinsixiangyebeiwangbinghelihaozhaotuiguangdaopingjunqulvliudeyanjiubingchenggongjiejuelezhumingdeyantuoxingcaixiang,gaichengguofabiaoyushuxuesidaqikanzhiyide《shuxuexinjinzhan》(inventiones mathematicae)。

yabo88登陆zheipianwenzhangdegainianhefangfayebeiyunyongdaolewangbingjiqihezuozhejinliangniandeqitayixiliezhongyaogongzuozhong。wangbinghehuangshaosai、liyu(jijiangjiarujiheyuwuliyanjiuzhongxin)hezuodewenzhang“on the regular-convexity of ricci shrinker limit spaces”,lunzhenglefeitansuoliqishousuogulizidejixianbiranshichen、wangdingyixiadezhuixing。gailunwenfabiaoyuzhumingzonghexingqikan《chuncuiyuyingyongshuxuezazhi》(crelle's journal)。ciwai,wangbingheliyuhezuodewenzhang“heat kernel on ricci shrinkers”jichuliqigulizishangrehededuoxiangzuijiaguji,youcikehualegulizishangruoganshenkedejiheyutuopujiegou,weigaoweiliqiliuqidiandeyanjiudiandinglejichu。cipianzhangwenjinriyifabiaozai《bianfenfayupianweifenfangcheng》(calculus of variations and partial differential equations)。

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