Resumen de The Moser-Trudinger inequality on Kähler-Einstein manifolds

Duong H. Phong, Jian Song, Jacob Sturm, Ben Weinkove

• We prove the conjecture of Tian on the strong form of the Moser-Trudinger inequality for K\"ahler-Einstein manifolds with positive first Chern class, when there are no holomorphic vector fields, and, more generally, when the setting is invariant under a maximal compact subgroup of the automorphism group.