AbstractThe defining ideal $I_X$ of a projectively normal Calabi-Yau 3-fold $X$ is arithmetically Gorenstein, of Castelnuovo-Mumford regularity 4. Such ideals have been intensively studied when $I_X$ is a complete intersection, as well as in the case where $X$ has codimension 3. In the latter case, the Buchsbaum-Eisenbud theorem shows that $I_X$ is given by the Pfaffians of a skew-symmetric mat...
AbstractRank one symmetric differentials, a concept introduced by Taubes, play a significant role in gauge theory and differential geometry. In this talk, we’ll dive into the world of rank one symmetric differentials over projective varieties. We’ll explore how rank one symmetric differentials are connected to Higgs bundles and a recent proposal by Chen-Ngo. Furthermore, we will explain how r...
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