RESEARCH IN RESIDENCE - 1
Entanglement/  Enchevêtrement
Dates: 27-31 March 2023
Place: CIRM (Marseille Luminy, France)
DESCRIPTION
The research scientists have been exploring several conjectures regarding Galois representations modulo integers in the last months. ln 2023, hopefully, a visit could be a fruitful occasion to report on the progresses of the various computations, as well as, on the results proved in order to envision an encompassing framework for a Serre conjecture modulo integers.
Ian Kiming and Samuele Anni have been discussing about effective criteria on isomorphisms of symplecting representations. Therefore, a visit of Kiming would help progressing on this topic.
Likewise, Samuele Anni and Alexander Rham through the support of the ANR «MELODIA» project have already started collecting data for proving examples for the paramodular conjecture.
Finally, Anni and Gabor Siksek have long standing collaborations, so a visit right before the « Arithmetic statistics » conference, will help addressing problems arising in Darmon's programme for Diophantine equations.
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