Thursday, November 15, 2018
4:00 PM -
5:00 PM
Linde Hall 387
Number Theory Seminar
Series: Number Theory Seminar Series
Developments for p-adic L-functions, with a view toward unitary groups
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.
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For more information, please contact Mathematics Dept. by phone at 626-395-4335 or by email at [email protected].