@inbook{98b5a993dcfd4ba7984df2e79c47b6a9,

title = "Geometric modular forms and the cohomology of torsion automorphic sheaves",

abstract = "In this survey article, we explain how modular forms can be defined geometrically in higher dimensions and in mixed characteristics using smooth toroidal compactifications, and how this can be useful for studying the cohomology groups of PEL-type Shimura varieties valued in torsion automorphic coefficients.",

author = "Kai-Wen Lan",

year = "2012",

month = mar,

day = "14",

language = "English",

isbn = "0821875558",

volume = "51",

series = "AMS/IP Studies in Advanced Mathematics",

publisher = "American Mathematical Society",

pages = "183----208",

booktitle = "Geometric modular forms and the cohomology of torsion automorphic sheaves",

address = "United States",

}