Lecture Notes

This page is a collection of lecture notes of Mingchen Xia. You may reproduce whichever parts you need from these notes. The source codes are always available upon request.

Archimedean pluripotential theory

• Lectures on pluripotential theory 1, 2, 3, 4.

Lecture notes for my course at Shanghai Tech university in the summer of 2023.

• Characterizations of I-good singularities.

Lecture notes for my course at Chinese academy of science in the summer of 2023.

• Singularities in global pluripotential theory.

Lecture notes for my course at Zhejiang university in the spring of 2024. This is a preliminary version containing possibly many typos. I will try to make updates at least once a month. Feel free to contact me if you have any comments.

Non-Archimedean geometry

• Lectures on non-Archimedean pluripotential theory 1, 2, 3, 4.

Lecture notes for my course at USTC in the spring of 2024.