MATH 117: Advanced Complex Analysis
Review of holomorphic and meromorphic 1-forms, product development, Gamma-function and Riemann zeta-function, Fourier series and integrals, Fourier and Laplace transforms, differential geometric and analytic approaches to Riemann surfaces and conformal mappings, introduction to hyperbolic geometry, Laplace and d-bar equations and their solvability, the Uniformization Theorem, divisors and line bundles, Riemann-Roch theorem, Abel Jacobi theory. Prerequisite:
Math 116.
Terms: Win
| Units: 4
| UG Reqs: WAY-FR
Instructors:
Mazzeo, R. (PI)
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