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Title:
Deligne-Simpson Problem, Quivers and Galois action on rigid DAHA-modules in rank one
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Abstract:
Given an elliptic curve over a field K of algebraic numbers, we associate with it an action of the absolute Galois group G_K in the rigid DAHA-modules of type A_1. The latter are considered for roots of unity q and over the rings Z[q]/(p^m) for sufficiently general prime p and any m. We describe rigid modules in characteristic zero and those for generic p.
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