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
Location: SLMath: Eisenbud Auditorium
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
14043
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.
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14043
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14043.mp4
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