Mixed Hodge Modules Learning Seminar

Used to be a google calendar; now defunct.

1. Overview of mixed Hodge modules and their applications to geometry (Ben) Notes
2. Classical (pure) Hodge theory (Anand) References: Chapter 0 of [Sabbah-Schnell]. Notes 1, Notes 2
3. D-modules and the Riemann–Hilbert correspondence (Asilata) References: [Cavazzani] and the references cited there. Notes
4. Perverse sheaves (Nicola)
5. Nearby and vanishing cycles (Anand) References: [Sabbah]. Notes
6. Degenerations of VHS on curves (Ben) Notes
7. Perverse sheaves and the decomposition theorem References: [Achar], [deCataldo-Migliorini], [deCataldo], Chapter 8 of [Hotta-Takeuchi-Tanisaki].
8. Nearby and vanishing cycles and filtered D-modules References: Section 9 of [Schnell], Section 2.4 of [Sabbah-2]
9. Definition of pure Hodge modules References: Section 12 of [Schnell] which uses stuff also from Section 10 and 11.
10. Generic vanishing theory via mixed Hodge modules References: [Popa-Schnell-1]

1. [Sabbah-Schnell]: Sabbah, Schnell, The MHM project
2. [Achar]: Achar: Lecture notes on Perverse sheaves
3. [Popa-Schnell-1]: Popa, Schnell, Generic vanishing theory via mixed Hodge modules
4. [deCataldo-Migliorini]: de Cataldo, Migliorini, The decomposition theorem, perverse sheaves, and the topology of algebraic maps
5. [deCataldo]: de Cataldo, Perverse sheaves in algebraic geometry
6. [Hotta-Takeuchi-Tanisaki]: Hotta, Takeuchi, Tanisaki D-modules, perverse sheaves, and representation theory
7. [Cavazzani]: Cavazzani, The Riemann–Hilbert correspondence
8. [Schnell]: Schnell, An overview of Morihiko Saito’s theory of mixed Hodge modules
9. [Sabbah]: Sabbah, Vanishing cycles and their algebraic computation
10. [Sabbah-2]: Sabbah, Hodge theory, singularities, and D-modules