On symplectic mean curvature flows

Series
PDE Seminar
Time
Tuesday, February 20, 2024 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Jiayu Li – University of Science and Technology of China – jiayuli@ustc.edu.cnhttp://staff.ustc.edu.cn/~jiayuli/
Organizer
Gong Chen

  It is known that the symplectic property is preserved by the mean curvature flow in a K\"ahler-Einstein surface which is called "symplectic mean curvature flow". It was proved that there is no finite time Type I singularities for the symplectic mean curvature flow. We will talk about recent progress on an important Type II singularity of symplectic mean curvature flow-symplectic translating soliton. We will show that a symplectic translating soliton must be a plane under some natural assumptions which are necessary by investigating some examples.