Barcelona Fall Workshop on Number Theory II
Isomorphisms of modular Galois representations and graphs
Presenters
Samuele Anni (Univ. Aix-Marseille)
Abstract
In this talk I will explain how to effectively test whether two modular Galois representations of the absolute Galois group of the rationals are isomorphic. In particular, I will present sharp bounds on the number of traces to test, as well as a database of modular Galois representations. In the end, as an application, I will briefly discuss about graphs of isomorphisms and the related results on Hecke algebras.
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