University of Toronto's Symplectic Geometry Seminar

Monday, 27 April 2009, 2:10pm
Bahen 6183

Raphael Ponge

University of Tokyo

Holomorphic Morse inequalities in CR geometry


The aim of this talk is to present an analogue in CR geometry of Demailly's holomorphic Morse inequalities. More precisely, we shall present asymptotic inequalities for the Kohn-Rossi cohomology groups with coefficients in large powers of a line bundle. A potential application is an extension of the Grauert-Riemenschneider criterion to noncompact complex manifolds. This is part of a joint project with George Marinescu (University of Cologne, Germany).