A non-Archimedean approach to the Yau–Tian–Donaldson Conjecture

In Kähler Geometry, the Yau–Tian–Donaldson Conjecture relates the differential geometry of compact Kähler manifold with an algebro-geometric notion called K-stability. I will start with a brief overview of the topic, and then I will discuss a possible non-Archimedean approach to solve this conjecture, generalizing a result of Chi Li to the non-agebraic setting.