Colloquium| Institute of Mathematical Sciences
Time：Thursday, Apirl 8th, 2021, 14:00-15:00
Location：Zoom
Speaker: Xiaojun Wu, Université Grenoble-Alpes
Abstract: The structure of complex manifolds whose tangent or anticanonical bundles satisfy various positivity assumptions has been studied extensively during the last decades. In the first part of talk, we will survey an approach proposed by Demailly, Peternell and Schneider for the study of compact Kähler manifolds with nef tangentbundles, as well as further recent progress of Junyan Cao and Höring in the case of projective manifolds with nef anti-canonical bundles. Next, we will discuss strongly pseudoeffective vector bundles, which somehow provide a singular version of nef vector bundles, and a related result characterizing their numerical flatness. If time permits, we will consider the surjectivity of Albanese morphisms of compact Kähler manifolds with pseudoeffective anticanoncial bundles, under suitable metric assumptions.
Zoom link：https://univ-grenoble-alpes-fr.zoom.us/j/92238512746
Conference zoom number: 922 3851 2746
Psssword: 57