Levi-flat hypersurfaces in complex manifolds

Friday, March 13, 2015 -
3:00pm to 4:00pm
Levi-flat hypersurfaces arise naturally from complex foliation theory and complex dynamics. In this talk we will discuss the Cauchy-Riemann equations on domains in complex manifolds with Levi-flat boundary. We give an example of a pseudoconvex domain in a complex manifold whose $L^2$-Dolbeault cohomology is non-Hausdorff, yet the domain is Stein with real-analytic Levi-flat boundary (Joint work with Debraj Chakrabarti).
Speaker: 
Mei-Chi Shaw
University of Nortre Dame
Event Location: 
Fine Hall 314