Chandrashekhar Khare, Serre's conjecture and computational aspects of the Langlands program
Channel: VaNTAGe
Date: 2022-04-17

VaNTAGe Seminar, April 5, 2022

License: CC-BY-NC-SA

Some relevant links:

Edixhoven-Couveignes-de Jong-Merkl-Bosman: https://arxiv.org/abs/math/0605244
Ramanujan's 1916 paper: http://ramanujan.sirinudi.org/Volumes/published/ram18.pdf
Delta's home page in the LMFDB: https://www.lmfdb.org/ModularForm/GL2/Q/holomorphic/1/12/a/a/
L(Delta,s) homepage: https://www.lmfdb.org/L/2/1/1.1/c11/0/0
Delta mod 691: https://www.lmfdb.org/ModularForm/GL2/Q/holomorphic/?hst=Traces&level=1&weight=12&search_type=Traces&n=1-100&an_modulo=691&view_modp=reductions
Congurences mod 11: https://www.lmfdb.org/ModularForm/GL2/Q/holomorphic/?hst=Traces&level=1%2C11&weight=12%2C2&dim=1&char_order=1&search_type=Traces&n=1-100&an_modulo=11&view_modp=reductions
Khare-Wintenberger: https://annals.math.princeton.edu/2009/169-1/10.4007/annals.2009.169.229
Centeleghe: https://arxiv.org/abs/1008.2059