KASS seminar

Abstract: In complex geometry, a central theme is the relationship between algebro-geometric stability and the existence of canonical metrics. Examples of this include the Hitchin-Kobayashi correspondence for holomorphic vector bundles, and the Yau-Tian-Donaldson conjecture for varieties. In this talk, I will discuss a parabolic analogue of these results, relating the asymptotics of the associated geometric flows to algebro-geometric filtrations defined by Haiden-Katzarkov-Kontsevich-Pandit and Ibáñez Núñez.