Department of Mathematics


  •  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 (

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.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science