A note on the supercritical deformed Hermitian-Yang-Mills (dHYM) equation
发布时间:2023年04月11日
浏览次数:2591
发布者: Wenqiong Li
主讲人: Junsheng Zhang (University of California, Berkeley)
活动时间: 从 2023-04-19 09:00 到 10:00
场地: 线上
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.
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