清华主页
EN
AbstractIn analogous to the Hodge theory, Tsai, Tseng and Yau constructed a novel cochain complex on symplectic manifolds, based on the Lefschetz decomposion. Its cohomology is closely related to the de Rham cohomology, but also carries the information of the symplectic form. In the talk we will go through the definition and properties of this cochain complex
IntroductionHodge conjecture is one of the millennium conjectures for which the evidences are not so much: It is proved for surfaces (Lefschetz (1,1) theorem) and surface type varieties (like cubic fourfolds), and we do not know even it is true for all Fermat varieties (despite some partial result by T. Shioda and his coauthors). The main goal of the course is introduce computational methods fo...
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