Speaker
Antonio Trusiani, University of Roma Tor Vergata
Abstract
I will show that any big line bundle on a smooth projective variety admits a Special Fujita Approximation: the volume and the first Riemann-Roch coefficient are both approximated by those of Q-ample line bundles on higher models. Following many previous works on the topic, especially by Boucksom-Jonsson and recently Li, I will recall how this implies a solution to the Yau-Tian-Donaldson Conjecture, connecting K-stability notions of a smooth polarized projective variety (X, L) to the existence of constant scalar curvature Kähler metrics in c_1(L).
Time permitting, the transcendental version of the Yau-Tian-Donaldson Conjecture for general Kähler classes will also be discussed.