The deformed Hermitian-Yang-Mills equation, which will be
abbreviated as dHYM equation, was discovered around the same time in the
year 2000 by Mariño-Minasian-Moore-Strominger and Leung-Yau-Zaslow using
different points of view.
In this talk, first, I will skim through Leung-Yau-Zaslow’s approach in a
simple way. Then I will introduce the C-subsolution which is introduced by
Székelyhidi and Guan, I will go over some known results of the dHYM
equation, and I will bring up my previous results. Last, I will show some of
my recent works which will appear soon.