Orbifold regularity and singular Kähler-Einstein metrics

par Henri Guenancia (IMB)

jeudi 8 janv. 2026, 10:30 → 11:30 Europe/Paris

Given a compact normal Kähler space X with log terminal singularities, there is a notion of singular Kähler-Einstein metric due to Eyssidieux-Guedj-Zeriahi in 2009, along with some existence theorems mirroring the case when X is a manifold. The behavior of such a metric near the singular points of X is still rather mysterious in general, but I'll explain what can be said near the points of X which are quotient singularities.
This is joint work with Chung-Ming Pan and Mihai Paun.