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p-adic families of Eisenstein series and applications

Connections for Women: New Geometric Methods in Number Theory and Automorphic Forms August 14, 2014 - August 15, 2014

August 15, 2014 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Ellen Eischen (University of Oregon)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC



One approach to constructing certain p-adic L-functions relies on construction of a p-adic family of Eisenstein series. I will explain how to construct such p-adic families for certain unitary groups. As part of the talk, I will explain how to p-adically interpolate certain values of both holomorphic and non-holomorphic Eisenstein series. I will also mention some applications to number theory and beyond.


21325?type=thumb Eischen 269 KB application/pdf Download
Video/Audio Files


H.264 Video 14043.mp4 328 MB video/mp4 rtsp://videos.msri.org/data/000/021/297/original/14043.mp4 Download
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