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Algebra and Geometry Seminar

Thursday, October 19, 2023
3:45pm to 5:00pm
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Linde Hall 187
The algebraic Green-Griffiths-Lang conjecture for the complement of a very general hypersurface in Pn
Wern Yeong, Department of Mathematics, UCLA,

A complex algebraic variety is said to be Brody hyperbolic if it contains no entire curves, which are non-constant holomorphic images of the complex line. The Green-Griffiths-Lang conjecture predicts that varieties of (log) general type are hyperbolic outside of a proper subvariety called an exceptional locus. We prove an algebraic version of this Conjecture, with respect to Demailly's algebraic version of hyperbolicity, for the complement of a very general degree 2n hypersurface in Pn. Moreover, for the complement of a very general quartic plane curve, we completely characterize the exceptional locus as the union of the flex and bitangent lines. Based on joint work with Xi Chen and Eric Riedl.

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