Geometric polarized log Hodge structures on the standard log point

Abstract: I will talk about the following fact: a projective vertical exact log smooth morphism over the standard log point yields polarized log Hodge structures on the base. In the proof of this fact, the case of a strict log deformation is essential. So, I will mainly talk about this case, and explain how to relate my previous results on the mixed Hodge structures to log Hodge structures for a projective strict log deformation. If the time remained, I will discuss a generalization to the case of a general base point. This talk is based on a joint work with C. Nakayama.

mathematical physicsalgebraic geometrycomplex variablesdifferential geometrygeometric topologyquantum algebrasymplectic geometry

Audience: researchers in the topic

Emmy Noether Kolloquium Mainz