복소기하학연구단
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Speaker Michael Albanese Adelaide University A nearly Kähler six-manifold admits a compatible SU(3)-structure. Verbitsky utilised this SU(3)-structure to obtain a generalisation of the Kähler identities, which he used to prove a Hodge decomposition analogous to the Kähler case. We extend these identities and the Hodge decomposition to nearly Kähler manifolds in arbitrary dimensions. … |
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Speaker Qifeng Li Shandong University The fundamental form is a basic object for manifolds and varieties. In this talk, we will give a bound on the dimension of the linear automorphism group of a projective variety $Z \subset \mathbb{P} V$ in terms of its fundamental forms at a general point. Moreover, we will …
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Speaker Yingqi Liu IBS CCG Hwang and Li introduced cone structures with characteristic conic connections, partially generalizing VMRT structures on uniruled projective manifolds. For isotrivial cone structures with fiber Z, they established a projective-geometric criterion on Z ensuring the existence of torsion-free connections on the associated G-structures. In this talk, I will describe … |
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