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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Geometry and Topology Seminar: Genericity of holomorphic discs with boundary

Presented by Wilhelm Klingenberg, Durham

8 December 2016 13:00 in CM221

We will state the Theorem of Sard-Smale on regular values of Fredholm operators. Then we will apply this to the Cauchy-Riemann equation on the disc with boundary condition. The boundary condition takes the form of a two real dimensional surface in two complex dimensional space, which the graph of the holomorphic function inhabits. We finally show how Sard-Smale implies that the boundary problem under consideration has a solution for a dense open set of real surfaces in the complex surface.

Contact mark.a.powell@durham.ac.uk or andrew.lobb@durham.ac.uk or wilhelm.klingenberg@durham.ac.uk for more information