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Course Descriptions

16:640:523 - Functions of Several Complex Variables I

Siqi Fu

Subtitle:

Functions of Several Complex Variables: Selected Topics

Description:

The main themes of this topic-course are \(L^2\)-estimates of the \(\bar{\partial}\)-operator, spectral theory of the complex Laplacians, and their applications to problems in algebraic geometry. Topics include: H\"{o}rmander's \(L^2\)-estimates of the \(\bar{\partial}\)-operator; spectral discreteness of the \(\bar\partial\)-Neumann Laplacian; Holomorphic Morse inequality; vanishing theorems; and relevant recent developments.

Text:

Complex analytic and algebraic geometry, by J.-P. Demailly, available online at Demailly's website.

Prerequisites: 

Complex Variables I


Sections Taught This Semester:

For more information on instructors and sections for Spring 2018, please see our Spring 2018 Teaching Schedule Page

For more information on instructors and sections for this course for other semesters, please see our Teaching Schedule Page

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

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