Recent applications of mixed Hodge modules in birational geometry

Reading group, Summer Semester 2016

Meet Tuesdays 11:00-13:00 in 1.411 .

Program

Talk 1, 26 April: (Ben) Hacon's generic vanishing paper part 1

Talk 2, 6 May: (Frank) Hacon's generic vanishing paper part 2 and the Chen-Hacon theorem on birationality to an abelian variety

Talk 3, 26 May (Mara): Introduction to D-modules (for mixed hodge modules) and some examples of the decomposition theorem (Notes)

Talk 4, 28 June (Hsueh-Yung): Viehweg-Zuo

Talk 5, : Popa-Schnell's results on mixed hodge modules

Talk 6, : Popa-Schnell's Annals paper

References

A similar reading group in Bonn last year

Hacon's paper: A derived category approach to generic vanishing

Hacon-Kovacs' paper: Holomorphic one-forms on varieties of general type

Pareschi's notes: Basic results on irregular varieties via Fourier-Mukai methods

Popa's survey: Positivity for Hodge modules and geometric applications

Popa-Schnell's paper on: Generic vanishing theorems via mixed Hodge modules

Popa-Schnell's paper on: Kodaira dimension and zeros of holomorphic one-forms

Sabbah and Schnell's book in progress

Schnell's notes on: Mixed Hodge Modules

Schnell's notes on Generic vanishing theorems

Viehweg-Zuo's paper: On the isotriviality of families of projective manifolds over curves