On the Donaldson--Uhlenbeck--Yau theorem

par Mattias Jonsson (Univ. of Michigan)

vendredi 19 janv. 2024, 10:30 → 12:00 Europe/Paris

Picard (IMT)

The Donaldson-Uhlenbeck-Yau theorem gives an algebro-geometric characterization for the existence of a Hermite-Einstein metric on a holomorphic vector bundle on a Kähler manifold. I will give some background to this result, and discuss a recent proof, joint with McCleerey and Shivaprasad, using geodesic rays in the space of Hermitian metrics.