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Number Theory Seminar

Thursday, November 15, 2018
4:00pm to 5:00pm
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Linde Hall 387
Developments for p-adic L-functions, with a view toward unitary groups
Ellen Eischen, Department of Mathematics, University of Oregon,
The study of p-adic properties of values of L-functions dates back (at least) to Kummer's study of congruences between values of the Riemann zeta function at negative odd integers. The study of p-adic L-functions really took off, though, a century later with Serre's discovery of p-adic modular forms. With a viewpoint that encompasses several settings, including modular forms (GL_2) and automorphic forms on unitary groups, I will discuss a recipe for constructing p-adic L-functions that relies strongly on the behavior of p-adic automorphic forms. Recent developments will be put in the context of more familiar constructions of Serre, Katz, and Hida.
For more information, please contact Mathematics Dept. by phone at 626-395-4335 or by email at [email protected].