Arithmetic of theta liftings

Abstract: We discuss the integrality of theta liftings of anti-cyclotomic characters to a definite unitary group $\mathrm{U}(2)$ of two variables. This will allow us to construct a Hida family of the theta liftings and relate the congruence module of which to an anti-cyclotomic $p$-adic L-function. The result is an input to Urban's construction of Euler systems.

Mathematics

Audience: researchers in the topic

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UBC (online) Number Theory Seminar