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Number Theory Seminar

p-adic L-functions, with a view toward unitary groups”

One approach to studying the p-adic behavior of L-functions relies on understanding p-adic
properties of certain modular (or automorphic) forms, such as congruences satisfied by their
Fourier coefficients.

In this talk, I will give an overview of p-adic L-functions and an approach to constructing
them, which relies on relating them to certain p-adic families of Eisenstein series. I will start
with the earliest examples of p-adic L-functions (due to Serre, Kubota, and Leopoldt) and
conclude with a recently completed construction of myself, Harris, Li, and Skinner.

Details

Number Theory Seminar
Ellen Eischen (University of Oregon)
May 14, 2018
2:30 PM - 3:30 PM
More information available at:
http://mathematics.stanford.edu/number-theory-seminar/

Location

Math 383-N
450 Serra Mall
Bldg. 380
Room 383-N
Stanford CA 94305
Stanford University Department of Mathematics
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