中科院数学与系统科学研究院

数学研究所

微分几何讨论班

报告人：    Lei Wu（Utah University）

题  目：Hyperbolicity of base spaces of certain families

时  间：2018.01.08（星期一），15 :30-16:30

地  点：数学院南楼N913室

摘  要：Hyperbolicity is an interesting property of varieties both analytically and algebraically. I will make a recall of some hyperbolicity conjectures and some related results, especially hyperbolicity of moduli spaces. Then I will discuss hyperblicity of base spaces of families of smooth general type varieties, which would imply brody hyperbolicity of some moduli. The main technical tools we used are Hodge modules and Higgs sheaves. I will also give a brief discussion of these objects and how they applied to prove the hyperbolicity problems. This is joint work with Mihnea Popa and Behrouz Taji.