Reporter: Mingchen Xia（IMJ-PRG）
Time: 09:00-10:00, Mar 4, 6, 11, 13 (every Monday and Wednesday), 2024
Place: Room 1124, Material Science Research Building (Section C)
In the last decade, the non-Archimedean geometry has played an important role in a number of problems in complex geometry, including the Yau—Tian—Donaldson conjecture, the Strominger—Yau—Zaslow conjecture and the degeneration of Bergman metrics etc.. Despite its usefulness, non-Archimedean geometry is constantly regarded as a freak by mathematicians working on more classical differential geometry and complex geometry since the former requires completely different intuitions and techniques. In this course, I will give a brief introduction to the pluripotential-theoretic aspects of the non-Archimedean geometry, mainly focusing on the theory developed by Boucksom—Jonsson. I will introduce all necessary notions for understanding the non-Archimedean Calabi—Yau theorem.
Lecture 1: Introduction to Berkovich geometry and examples
notes: 
Lecture1.pdf
Lecture 2: Berkovich spaces and plurisubharmonic functions
notes: Lecture 2.pdf
Lecture 3: Energy pairing, Monge—Ampère operator and Calabi—Yau theorem
notes: Lecture 3.pdf
Lecture 4: Berkovich geometry over non-trivially valued bases
notes: Lecture 4.pdf
