Student Seminar: "Mixed Hodge Structure, D-modules and Perverse Sheaves"

Renjie Lyu

Organizers: Renjie Lyu & Tokio Sasaki

Abstract: In my talk I will present Deligne’s construction of Mixed Hodge Structure on complex algebraic variety. The strategy is that starting with a Cohomological MHS, we are able to get a Mixed Hodge Complex via derived functor of global section functor on bi-filtered derived category, then the MHC carries a MHS by taking cohomology. This method is flexible to apply on arbitrary complex algebraic varieties. Derived category and spectral sequence will be involved and I will spend part of time on it.