Title: The congruence ideal associated to $p$-adic families of Yoshida lifts
Speaker: Bharathwaj Palvannan (IISc)
Date: 28 January 2022
Time: 3 pm
Venue: Microsoft Teams (Online)
This talk will be a report of work in progress with Ming-Lun Hsieh. Just as in classical Iwasawa theory where one studies congruences involving Hecke eigenvalues associated to Eisenstein series, we study congruences involving $p$-adic families of Hecke eigensystems associated to the space of Yoshida lifts of two Hida families. Our goal is to show that under suitable assumptions, the characteristic ideal of a dual Selmer group is contained inside the congruence ideal.