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2023.06.05

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»ã±¨±êÌâ (Title)£ºCompactness and singularity related to harmonic maps

ÖÐÎıêÌâ: ºÍгӳÉäµÄ½ôÐÔÓëÆæ¹ÖÐÔ

»ã±¨ÈË (Speaker)£ºÀî¼ÎÓí ½ÌÊÚ£¨Öйú¿ÆÑ§¼¼Êõ´óѧ£©

»ã±¨¹¦·ò (Time)£º2023Äê6ÔÂ2ÈÕ(ÖÜÎå) 9:30-10:30

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿F309

Ô¼ÇëÈË(Inviter)£ºÏ¯¶«ÃË¡¢Àî½ú¡¢Õŵ¿­

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»ã±¨ÌáÒª£ºIn the talk we will review compactness results and regularity theorems related to harmonic maps. We will review Sacks-Uhlenbeck blow-up metods, H¨¦lein regularity theorem, Evens and Bethuel partial regularity, Lin theorem, Rivi¨¨re estimates, and our results in this field. Especially, we will talk approximated harmonic maps from surfaces with tension field bounded in Zygmund class, the blow up formula for stationary harmonic maps, and it¡¯s applications to triholomorphic maps between Hyperk?hler manifolds.

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