Geometry of Conifold Transitions

Shing-Tung Yau (Harvard University)

23-Feb-2021, 15:30-16:30 (3 years ago)

Abstract: Conifold transitions were introduced by Clemens, Reid and Friedman to connect Calabi-Yau threefolds with different topologies. However, this operation may produce a complex manifold with trivial canonical bundle which is non-Kahler. I will discuss this transition from the point of view of metrics and differential geometry, and propose a non-Kahler analog of Calabi-Yau metrics which originates in heterotic string theory. This talk will contain joint works with T.C. Collins, J.-X. Fu, J. Li, and S. Picard.

algebraic geometrycomplex variablesdifferential geometry

Audience: researchers in the topic


ZAG (Zoom Algebraic Geometry) seminar

Series comments: Description: ZAG seminar

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Organizers: Jesus Martinez Garcia*, Ivan Cheltsov*, Jungkai Chen, Jérémy Blanc, Ernesto Lupercio, Yuji Odaka, Zsolt Patakfalvi, Julius Ross, Cristiano Spotti, Chenyang Xu
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