Integrality of theta liftings to a definite U(2)

Yu-Sheng Lee, Columbia University
Fine Hall 214

In-Person and Online Talk 

We discuss the integrality of theta liftings of anti-cyclotomic characters to a definite unitary group 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 a construction of Euler systems following Urban's approach.