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math.NT2025
Modularity theorems for abelian surfaces
Toby Gee
This is a brief account of my results with George Boxer, Frank Calegari and Vincent Pilloni on the (potential) modularity of abelian surfaces.
math.NT2025
Modularity theorems for abelian surfaces
George Boxer, Frank Calegari, Toby Gee +1
We prove the modularity of a positive proportion of abelian surfaces over . More precisely, we prove the modularity of abelian surfaces which are ordinary at and ar…