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Manami Roy – University of Oklahoma
April 3, 2017 @ 4:30 pm - 5:30 pm EDT
Level of Siegel modular forms of degree 2 coming from the lifting
Ramakrishnan and Shahidi used the lifting to lift a holomorphic elliptic (non-CM) newform
of weight
and level
to a degree 2 holomorphic Siegel modular form
. I will talk about the main result from the paper by Ramakrishnan-Shahidi and mention a more streamlined proof. Moreover, I will talk about the level of the Siegel modular form
under the principal congruence subgroup, the paramodular group, and the Siegel congruence subgroup. The goal is to obtain detailed results about the level of the Siegel modular forms under these congruence subgroups.