Department of Mathematics

Algebra

  •  Ruijie Yang, Stony Brook
  •  Metric positivity for coherent sheaves from Hodge theory
  •  11/25/2020
  •  4:00 PM - 5:00 PM
  •  Online (virtual meeting) (Virtual Meeting Link)
  •  Laure Flapan (flapanla@msu.edu)

In complex algebraic geometry, positivity of direct images of relative canonical bundles are important for the study of geometry of algebraic morphisms. In this talk, I would like to discuss a notion of metric positivity for coherent sheaves and prove that a large class of sheaves from Hodge theory, including the direct images of relative canonical bundles, always satisfy the metric positivity. This result unifies and strengthens several results of positivity on the algebraic side (i.e. weak positivity). Based on joint work with Christian Schnell.

 

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