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Fundamental groups of algebraic varieties and hyperbolicity

2023-02-06 12:15:15
报告人 时间 16:00-17:00
地点 ZOOM 2023
月日 02-09

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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