Speaker:
Xiaojun Huang
Institution:
Rutgers University
Time:
Friday, April 18, 2025 - 3:00pm to 3:50pm
Host:
Location:
RH 306
Let M be a smooth real codimension two compact submanifold in a Stein manifold. We will prove the following theorem: Suppose that M has two elliptic complex tangents and that CR points are non-minimal. Assume further that M is contained in a bounded strongly pseudoconvex domain. Then M bounds a unique smoothly up to M Levi-flat hypersurface \widehat{M} that is foliated by Stein hyper-surfaces diffeomorphic to the ball. Moreover, \widehat{M} is the hull of holomorphy of M . This subject has a long history of investigation dating back to E. Bishop and Harvey-Lawson. I will discuss both the historical context and the techniques used in the proof of the aforementioned theorem.