Department of Mathematics

Van Vleck Hall, 480 Lincoln Drive, Madison, WI

Math 823: Advanced Topics in Complex Analysis (Fall)

Xianghong Gong, Fall 2017:

The course is an introduction to several complex variables. We will cover the following topics.

Subharmonic functions. Domains of holomorphy. Pseudoconvex domains

Existence of L^2 solutions of d-bar equations on pseudoconvex domains

Solution of the Levi problem

Ohsawa-Takegoshi extension theorem

Finite-type domains


(i) Hormander’s book: An introduction to complex analysis in several variables

(ii) Hormander’s Acta paper:  L^2 estimates and existence theorems for the d-bar operator

(iii) D’Angelo’s book: Several complex variables and the geometry of real hypersurfaces

Math 722

UW-Madison Department of Mathematics
Van Vleck Hall
480 Lincoln Drive
Madison, Wi  53706

(608) 263-3054

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