Seminars on Arithmetic Geometry Arithmetic compactifications of PELtype Shimura varieties(1)(2)
 Date

20070828 10:00 
20070828 16:00
 Place
 Faculty of Science Building #8 Room307

Speaker/Organizer
 KaiWen Lan（Harvard University）

 In these lectures we explain how to construct the toroidal and minimalcompactifications for smooth integral models of PELtype Shimura varieties(as defined in the works of Kottwitz and many other people), using generalizationsof the techniques developped by Mumford and FaltingsChai.The essentially new ingredient is the emphasis on level structures, realized by atechnical calculation of Riemann forms, which enables us to predict the level structures from the degeneration data, and hence enables us to construct the boundary charts over which there does exists a valid level structure.
http://www.math.sci.hokudai.ac.jp/~nakamura