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An example-based introduction to Shimura varieties and their compactifications

Introductory Workshop: New Geometric Methods in Number Theory and Automorphic Forms August 18, 2014 - August 22, 2014

August 18, 2014 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Kai-Wen Lan (University of Minnesota, Twin Cities)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC


I will introduce various examples of Shimura varieties, and explain what some important classes of their compactifications are like.  I will begin with complex coordinates, but when good theories of their integral models are available, I will also explain what they are like.  The lectures will be for people who are not already familiar with these topics---for most of them, some willingness to see matrices larger than 2x2 ones should suffice.  (I hope to allow simple factors of all possible types A, B, C, D, and E to show up if time permits.  Nevertheless, it is not necessary to know beforehand what this means.)

21406?type=thumb Lan Notes 503 KB application/pdf Download
Video/Audio Files


H.264 Video 14047.mp4 352 MB video/mp4 rtsp://videos.msri.org/data/000/021/327/original/14047.mp4 Download
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