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To be or not to be local

math.NT · 2026-06-27 · unverdicted · novelty 4.0

Explores locality of mod p GL_2 representations over unramified quadratic extensions of Q_p by constructing a candidate representation of a subgroup via perfectoid geometry.

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  • On the $K$-extensions between Serre weights for unramified $\mathrm{GL}_3$ math.NT · 2026-04-13 · unverdicted · none · ref 3

    In most cases, extensions between Serre weights for unramified GL_3(O_L) modulo the center coincide with the corresponding GL_3(F_q) extensions.

  • To be or not to be local math.NT · 2026-06-27 · unverdicted · none · ref 41

    Explores locality of mod p GL_2 representations over unramified quadratic extensions of Q_p by constructing a candidate representation of a subgroup via perfectoid geometry.