# Mixed Hodge Modules Learning Seminar

**Please volunteer for speaking in FIRST or the MHM seminar.**

## Calendar (FIRST + MHM)

Used to be a google calendar; now defunct.

## List of talks and references

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

## References

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