9 papers · 1 filter
Modularity theorems for Eisenstein congruences in prime-power level
Jaclyn Lang, Katharina Müller, Bharathwaj Palvannan
Let be primes such that . We prove modularity theorems at levels and , showing that suitable Eisenstein localizations of the weight- $…
A minimal modularity lifting theorem for Siegel modular forms
Shaunak V. Deo, Bharathwaj Palvannan
We prove a minimal modularity lifting theorem (in the spirit of Genestier--Tilouine and Pilloni) in the setting of Siegel modular forms of genus two when the residual representatio…
A new perspective on the rank of Mazur's Eisenstein Hecke algebra
Jaclyn Lang, Katharina Müller, Bharathwaj Palvannan
Let be primes such that . We study the rank of the Hecke algebra that parametrizes modular forms of weight 2 and level that are Eisenstein…
On local characterizations of Hida families of Siegel modular forms
Shaunak V. Deo, Bharathwaj Palvannan
We provide new local characterizations of Hida families of Siegel modular forms with genus two arising from stable Yoshida lifts, that is, automorphic inductions of nearly ordinary…
On the congruence ideal associated to -adic families of Yoshida lifts
Ming-Lun Hsieh, Bharathwaj Palvannan
We study congruences involving -adic families of Hecke eigensystems of Yoshida lifts associated with two Hida families (say ) of elliptic cusp forms. Wi…
An ergodic approach towards an equidistribution result of Ferrero--Washington
Jungwon Lee, Bharathwaj Palvannan
An important ingredient in the Ferrero--Washington proof of the vanishing of cyclotomic -invariant for Kubota--Leopoldt -adic -functions is an equidistribution result whic…