AbstractThe study of moduli spaces of hyperKahler manifolds and low dimensional cubic hypersurfaces is an active direction in algebraic geometry. Thanks to kinds of Torelli theorem, many moduli spaces can be realized as locally symmetric varieties of unitary type or orthogonal type. Hodge theory, birational geometry and arithmetic geometry converge in this topic. In this talk I will give a gene...
AbstractPreviously, it was shown by the speaker that for any-graph patternthere is a finite forbidden familysuch that maximum recursive blow-ups ofare precisely maximum-free-graphs. I will discuss joint work with Xizhi Liu where we extend this result by allowing to mix different patterns and present some applications to finding finite forbidden families with rich sets ofextremal Turan construct...
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