Algebraicity of holomorphic maps to varieties with big representation of pi_1 (séminaire en ligne)

Date/heure
31 janvier 2022
14:00 - 15:00

Lieu
Salle de conférence virtuelle

Oratrice ou orateur
Ruiran Sun

Catégorie d'évènement
Séminaire de géométrie complexe


Résumé

We show the following algebraicity result for a complex projective variety X with big representation of π1 into an almost simple algebraic group: There exists a proper subvariety Z ⊂ X such that for any algebraic curve C, any holomorphic map f : C → X with f(C) not contained in Z is induced from an algebraic morphism. As a corollary, we show that such varieties are pseudo-Brody hyperbolic.