## EVENT DETAILS AND ABSTRACT

**Number Theory**
**Title:** p-adic L-function of supersingular Hilbert modular form

**Speaker:** Bei Zhang

**Speaker Info:** Northwestern

**Brief Description:**

**Special Note**:

**Abstract:**

Pollack constructed p-adic L-function of modular form f at supersingular
primes. Especially, when the Fourier coefficient of f at p is zero, plus
and minus p-adic L-functions can be obtained as elements inside Iwasawa
algebra. They can serve as one side of Iwasawa main conjecture for an
elliptic curve over Q when a_p=0 by Kobayashi's work about +/- Selmer
group of this elliptic curve at p. As the generalization of Pollack's
work, I will discuss the construction of p-adic L-function for
supersingular Hilbert modular form using Rankin-Selberg method. And will
define the +/- p-adic L-functions in this case.

**Date:** Monday, October 26, 2009

**Time:** 3:00PM

**Where:** Lunt 107

**Contact Person:** Florian Herzig

**Contact email:** herzig@math.northwestern.edu

**Contact Phone:** 847-467-1898

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