Presented By: Student Algebraic Geometry Seminar - Department of Mathematics
Student Algebraic Geometry: K3 Surfaces
Saket Shah
K3 surfaces are surfaces with trivial canonical bundle and vanishing first cohomology of the structure sheaf; they are one of the most well-studied classes of Calabi-Yau varieties. I will present some of their basic properties and discuss how they are in essence completely determined by their Hodge theory via the Global Torelli theorem. Time permitting, I will make some remarks about a derived generalization of the Torelli theorem.
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