Yum-Tong Siu, Harvard University, USA

Strong rigidity and Hodge filtration in homology setting

Abstract

For a compact Kähler manifold the Hodge filtration filters cohomology classes by representability by closed forms of type (p, q). In this talk we use the method of strong rigidity to discuss Hodge filtration in the homology setting by considering the representability of homology classes by CR manifolds.