ICTS:31814

Video URL

Eisenstein congruences at prime square level

Eisenstein congruences at prime square level

(2025). Eisenstein congruences at prime square level. SciVideos. https://youtube.com/live/6s_UycFqVrI

Eisenstein congruences at prime square level. SciVideos, May. 27, 2025, https://youtube.com/live/6s_UycFqVrI 

          @misc{ scivideos_ICTS:31814,
            doi = {},
            url = {https://youtube.com/live/6s_UycFqVrI},
            author = {},
            keywords = {},
            language = {en},
            title = {Eisenstein congruences at prime square level},
            publisher = {},
            year = {2025},
            month = {may},
            note = {ICTS:31814 see, \url{https://scivideos.org/icts-tifr/31814}}
          }
Bharathwaj Palvannan
Talk numberICTS:31814
Source RepositoryICTS-TIFR

Abstract

Let p and N be two odd primes >=5 such that N is congruent to 1 mod p. While studying Eisenstein congruences at prime level N extends from Mazur's work on the Eisenstein ideal (1977) continuing on to more recent work of Wake--Wang-Erickson (2020), we study Eisenstein congruences at prime square level N^2. We prove precise R = T theorems identifying suitable universal pseudo-deformation rings with Hecke algebras, both at level Gamma0(N^2) and Gamma1(N^2). Our study requires working with (cyclic p-group) group ring valued Eisenstein series, which in turn necessitates us to establish a new module-theoretic criterion to prove an R = T theorem. This is joint work with Jaclyn Lang and Katharina Mueller.