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November 17, 2023 2:30 pm - 2:30 pm ET
Geometry and Topology Seminar
LGRT 1681

Calabi-Yau metrics can degenerate in a 1-parameter family by varying the complex structure, and a basic invariant is the dimension of the essential skeleton, which is an integer between 0 and n. The case of zero is the context of non-collapsed degeneration of Donaldson-Sun theory, while the case of n is the context of the SYZ conjecture. We will discuss how to describe the Kahler potential at the C^0 level in the intermediate case for a large class of complete intersection examples.