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Algebra and Geometry Seminar

Monday, December 5, 2022
4:00pm to 5:00pm
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Calabi-Yau metric in the complement of two divisors
Yang Li, Department of Mathematics, MIT,

Tian-Yau's seminal work in the 90s constructed complete Calabi-Yau metrics on the complement of a smooth anticanonical divisor inside a Fano manifold, with asymptotic geometry modelled on the Calabi ansatz. We generalise the construction to the case where the anticanonical divisor is the union of two transverse divisors, based on a generalised Calabi ansatz, which is motivated from polarised degenerations. Time permitting I may also discuss some (heuristic) relation to non-archimedean Monge-Ampere equation.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].