Hyperbolicity of Algebraic Varieties via Fundamental Groups

Explore a conference talk by Ya Deng from Université de Lorraine on the characterization of hyperbolicity in algebraic varieties through their topology. Delve into the sharp condition for hyperbolicity of complex quasi-projective varieties via representation of fundamental groups, aligning with the strong Green-Griffiths-Lang conjecture. Examine the application of this work to special quasi-projective varieties, proving Campana's conjecture in the linear case. Learn about the collaborative efforts with Brotbek, Daskalopoulos, Mese, Cadorel, and Yamanoi in this hour-long presentation on fundamental groups of algebraic varieties and their role in determining hyperbolicity.