Back to Departmental Colloquium: Spring 2011
Departmental Colloquium
Date: Thursday, Mar 3, 2011
Time: 4:15PM
Location: JWB 335
R. Michael Range
State University of New York at Albany and currently visiting University of Utah
Title |
Tangential Cauchy-Riemann Equations: Its Origins and Some More Recent Developments |
Abstract |
It is quite well known, and surely not surprising, that–in analogy to multivariable real calculus–classical complex analysis, and in particular the Cauchy-Riemann equations,generalize to several complex variables. One of the many new phenomena of the higher dimensional theory involves the restriction of the Cauchy-Riemann equations to lower dimensional submanifolds of complex Euclidean space and related abstract versions. We shall discuss the basic concepts, review some little known historical details, and describe some intriguing examples and fundamental problems and results. |
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