Inequalities of Miyaoka-type and Uniformisation for Varieties of intermediate Kodaira Dimension

Date/heure
19 mai 2025
14:00 - 15:00

Lieu
Salle Döblin

Oratrice ou orateur
Niklas Müller

Catégorie d'évènement
Séminaire de géométrie complexe


Résumé

Let $X$ be a minimal complex projective variety. Over the past years, many similar inequalities between the Chern classes of $X$ have been obtained. Moreover, it is known precisely which varieties $X$ can achieve the equality. However, so far all results in this direction have focussed on the case where the numerical dimension of $X$ is either very small or very large. In this talk, I will present analogous inequalities for varieties of intermediate Kodaira dimension and I will present a characterisation of those varieties achieving the equality. This talk is partially based on joint work with Masataka Iwai and Shin-ichi Matsumura.