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Fundamental groups of algebraic varieties and hyperbolicity

Date:2023-02-06

报告人 时间 16:00-17:00
地点 ZOOM 2023
月日 02-09 重复类型
重复结束日期

Time: 16:00-17:00, Thursday, Feb 9, 2023

ZOOM ID: 971 5652 3427

PASSCODE: 556820


Host: Dr. Chuanhao Wei, ITS

Spearker: Dr. Ya Deng, CNRS

Biography: 

Dr. Ya Deng is a research associate of CNRS,Institut Elie Cartan de Lorraine. His research interests are complex geometry and Hodge theory.

Abstract:

A folklore conjecture predicts that if the (topological) fundamental groups of algebraic varieties are «big» enough, then such varieties should be hyperbolic. In this talk I will confirm this prediction when the fundamental groups admit a big and semisimple linear quotient. The whole proof lies in the interface among non-abelian Hodge, Nevanlinna theories and algebraic geometry. I will outline the main ideas of the proof.


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