A note on the supercritical deformed Hermitian-Yang-Mills (dHYM) equation
Time: 2023-04-11
Published By: Wenqiong Li
Speaker(s): Junsheng Zhang (University of California, Berkeley)
Time: 09:00-10:00 April 19, 2023
Venue: Online
Abstract: We show that on a compact Kähler manifold all real (1,1)-classes admitting solutions to the supercritical dHYM equation form a both open and closed subset of those which satisfy the numerical condition proposed by Collins-Jacob-Yau. More importantly, we show by an example that it can be a proper subset. This disproves a conjecture made by Collins-Jacob-Yau.
Speaker: Junsheng Zhang is currently a 4th year graduate student at UC Berkeley. His advisor is Song Sun. He obtained his bachelor's degree in mathematics at University of Science and Technology of China.
ID: 838 1058 5161
Passcode: 949453