Chen Daguang (Tsinghua University) Fan Huijun (Peking University) Feng Huitao (Nankai University) Fu Jixiang (Fudan University) Futaki Akito (University of Tokyo) Guo Zhen (Yunnan Normal University) Kunikawa Keita (Nagoya University) Li Haizhong (Tsinghua University) Li Jiayu (University of Science and Technology of China Liu Xiaobo (Peking University) Mabuchi Toshiki (Osaka University) Saito Shunsuke (University of Tokyo) Tamaru Hiroshi (Hiroshima University) Tian Gang (Peking University and Princeton University) Xu Guangbo (Princeton University) Yamaguchi Takao (Kyoto University) Yan Wenjiao (Beijing Normal University) Zhang Weiping (Nankai University) Zhu Xiaohua (Peking University) Organizing Committee Cheng Qing-Ming (Fukuoka University), Sano Yuji (Fukuoka University) March&23& & 6VOWFO\LcXW"9cYcYOH\WdSaWbg 03)13)) OPcQVWGaVWYW"BaOYOH\WdSaWbg 8fbSOZNOVZSdSaW\aTbVSLOcGWO\7\OZRa\6\XSQbcS 13)m+)3+) 7W\\SbWS +)3,)+3,) 7WaQcaaW\\7WTTSS\bWOZ:SSbg March&24& 6VOWGWO\:O\Uo5SWXW\UH\WdSaWbgO\RCW\QSb\H\WdSaWbgp )1q.))2q-) MVO\UJSWW\U"AO\YOWH\WdSaWbg CaWbWdSaQOZOQcdObcS\O\WTZRaO\RTZWObW\a 6VOWWgOYOESWY"GVYcH\WdSaWbg )q)))q.) 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5gORObW\UbVSWbSabTc\QbW\aO\RSfZW\USbWSaTbVSYbVSZSS\bOg agSbWQTc\QbW\alYW\bS\aWdSZgeSaVebVObTO\gTWfSRYeWbVnY k n\O\gabWQbZgQ\dSfQZaSRaSZTaWWZOaZcbW\ablY QcdObcSTZe W\E\$ cabPSOc\RaVSS'GVWaWaXW\beYeWbVcWOO\RFVO\hS:O' 8\SUgWRS\bWbgTOaScS\QSTFOQYaHVZS\PSQYOabOaVSS WWOgc"H\WdSaWbgTGSQV\ZUgO\RFQWS\QSaT6VW\O Energy identity for a sequence of Sacks-Uhlenbeck maps to a sphere Li, Jiayu Abstract For a map u from a Riemann surface M to a Riemannian manifold and α > 1, the α energy functional is defined as 2α Eα(u)= |∇u| dx. !M We call uα asequenceofSacks-Uhlenbeckmapsifuα is a critical point of Eα and sup Eα(uα) < ∞. α>1 In this talk, when the target manifold is a standard sphere SK ,weprove the energy identity for a sequence of Sacks-Uhlenbeck maps during blowing up. 1 6\\SQbW\UbVS\baSdWQVJWbbS\O\R RUSbOcTc\QbW\aPgbVSIWOaSOba WcKWOP"5SWXW\UH\WdSaWbg \baSdWQVJWbbS\ bOcTc\QbW\ O\R bVS RUS bOcTc\QbW\ OS US\SObW\U Tc\QbW\aTbebgSaTW\bSaSQbW\\cPSa\RcZWaOQSaTabOPZSQcdSa' 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