Contents Complete Noncompact K.ahler Manifolds with Positive Curvature Bing-Long Chen and Xi-Ping Zhu 1 Extreme Gap Problems in Random Matrix Theory. Renjie Feng 19 Classification on Singularity Types of Long-Time K.ahler-Ricci Flow Frederick Tsz-Ho Fong and Yashan Zhang 35 Scalar Curvatures on an Almost Hermitian Manifold Jixiang Fu and Xianchao Zhou 49 The K.ahler-Ricci Flow with Log Canonical Singularities Huabin Ge and Liangming Shen 61 Problems Related to Isoparametric Theory. Jianquan Ge 71 Some Recent Results on the Lp-Minkowski Problem Yong Huang， Jiakun Liu and Jian Lu 86 The Lp-Minkowski Problem Huaiyu Jian 112 Higher-Order Regularity of Collapsing Metrics in K.ahler Geometry Wangjian Jian 121 Optimal Boundary Regularity for Fast Di.usion Equations Tianling Jin and Jingang Xiong 133 Sphere Theorems for Submanifolds in K.ahler Manifold Jun Sun and Linlin Sun 145 On the Existence of the Mabuchi Soliton. Feng Wang 162 Rigidity of Entire Self-Shrinking Solutions to Lagrangian Mean Curvature Flow Wenlong Wang 174 Morse Theory for Minimal Hypersurfaces and the Multiplicity One Conjecture Zhichao Wang and Xin Zhou 189 Type-II Solutions to Mean Curvature Flow. Haotian Wu and Zhou Zhang 204 The Greatest Ricci Lower Bound and Stability Threshold Kewei Zhang 219 The Hermitian-Einstein Equation on Higgs Bundle and Its Applications Xi Zhang 226 Existence of Solutions to Mean Field Equations on Closed Riemann Surfaces Chaona Zhu 246
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