ICTS:31858

Video URL

Deformations of Reducible Galois Representations with Large Selmer p-Rank

Deformations of Reducible Galois Representations with Large Selmer p-Rank

(2025). Deformations of Reducible Galois Representations with Large Selmer p-Rank. SciVideos. https://www.youtube.com/live/Cfd9hhtbJzE

Deformations of Reducible Galois Representations with Large Selmer p-Rank. SciVideos, May. 29, 2025, https://www.youtube.com/live/Cfd9hhtbJzE 

          @misc{ scivideos_ICTS:31858,
            doi = {},
            url = {https://www.youtube.com/live/Cfd9hhtbJzE},
            author = {},
            keywords = {},
            language = {en},
            title = {Deformations of Reducible Galois Representations with Large Selmer p-Rank},
            publisher = {},
            year = {2025},
            month = {may},
            note = {ICTS:31858 see, \url{https://scivideos.org/icts-tifr/31858}}
          }
Eknath Ghate
Talk numberICTS:31858
Source RepositoryICTS-TIFR

Abstract

Let p \geq 5 be a prime. We construct a lattice in a self-dual modular Galois representation for which the p-torsion of the corresponding Bloch-Kato Selmer group is arbitrarily large. This extends the work of Matsuno for elliptic curves and small primes. Our representation is constructed by appropriately modifying an argument of Hamblen and Ramakrishna which allows one to lift reducible mod p Galois representations to characteristic zero with local conditions at a prescribed set of primes. This talk is based on recent joint work with Anwesh Ray (https://arxiv.org/pdf/2504.16287).