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# Hunter Brooks : Special Value Formulas for Rankin-Selberg p-adic L-Functions

We discuss special value formulas for a p-adic L-function L_p(f, \chi), where f is a fixed newform and \chi varies over the space of Hecke characters of a fixed imaginary quadratic field, as well as some recent applications. These formulas, first found by Bertolini, Darmon, and Prasanna, relate L_p(f, \mathbb{1}), a value which is outside the range of interpolation defining L_p, to arithmetic invariants of cycles on varieties fibered over modular curves.

**Category**: Number Theory**Duration**: 01:34:48**Date**: January 14, 2015 at 1:25 PM**Views**: 176-
**Tags:**seminar, Number Theory Seminar

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