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The J-equation and the deformed Hermitian-Yang-Mills equation.

  • Speaker:: Prof. Gao Chen, University of Science and Technology of China
  • TIME:周四20:00-21:00,2021-03-11
  • LOCATION:online

 

Beijing-Saint Petersburg Mathematics Colloquium (online)

Abstract 

The deformed Hermitian-Yang-Mills (dHYM) equation is the mirror equation for the special Lagrangian equation. The "small radius limit" of the dHYM equation is the J-equation, which is closely related to the constant scalar curvature K\"ahler (cscK) metrics. In this talk, I will explain my recent result that the solvability of the J-equation is equivalent to a notion of stability. I will also explain my similar result on the supercritical dHYM equation.

 

Bio

Chen, Gao got Bachelor's degree in Univeristy of Science and Techonology of China in 2012 and Ph.D. in Stony Brook University in 2017. Since then he has worked in IAS and University of Wisconsin-Madison. From January of 2021 he became a tenure-track professor in USTC

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