Back to Algebraic Geometry Seminar: Fall 2020
Algebraic Geometry Seminar
Date: Tuesday, Nov 24, 2020
Time: 3:30PM - 4:30PM
Location: Zoom
Ruijie Yang
Stony Brook University
Title |
Metric positivity for sheaves from Hodge theory |
Abstract |
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 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. |
Algebraic Geometry