18.117 - Topics in Several Complex Variables (Spring 2014)

 

Instructor: Victor Guillemin

Office: E18-326

Email: vwg [at] math . mit .edu

Lectures: M T W 1:00 - 2:00 pm E17-128

Office Hours: M W F, 2pm - 3pm


COURSE DESCRIPTION

Harmonic theory on complex manifolds, Hodge decomposition theorem, Hard Lefschetz theorem. Vanishing theorems. Theory of Stein manifolds. As time permits students also study holomorphic vector bundles on Kahler manifolds.

Prerequisites: 18.112, 18.965