Differential Geometry Working Seminar

Roberto Albesiano, University of Waterloo

From division to extension

The L^2 extension theorem of Ohsawa and Takegoshi, and the L^2 division theorem of Skoda are two fundamental results in complex analytic geometry. They are also intimately related: in fact, Ohsawa showed that a version of the latter can be proved as a corollary of the former. I will explain the main idea of Ohsawa and how, conversely, a version of the L^2 extension theorem can be obtained as an easy corollary of a Skoda-type L^2 division theorem with bounded generators.

MC 5479