【摘要】
In K?hler Geometry, the Yau–Tian–Donaldson Conjecture relates the differential geometry of compact K?hler 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 transcendental setting.
【报告人介绍】
Pietro Mesquita-Piccione is a PhD student in Mathematics at the Institut de Mathématiques de Jussieu at Sorbonne Université, in France, working under the supervision of Sébastien Boucksom and Tat Dat T?. He completed a Master's degree at the same institution and a Bachelor's degree at the University of S?o Paulo, in Brazil. His research is focused on Complex Geometry, with an emphasis on the relation between non-Archimedean geometry and canonical K?hler metrics.
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