Topics in Several Complex Variables

As taught in: Spring 2005

A diagram used to prove an important lemma in Kaehler geometry: the existence of a potential function. (Courtesy of Jonathan Campbell.)

Instructors:

Prof. Victor Guillemin

MIT Course Number:

18.117

Level:

Graduate

Course Features

Lecture notes

Course Description

This course covers harmonic theory on complex manifolds, the Hodge decomposition theorem, the Hard Lefschetz theorem, and Vanishing theorems. Some results and tools on deformation and uniformization of complex manifolds are also discussed.