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Speaker:
Paloma Bengoechea
Affiliation:
ETH Zürich
Date:
Thu, 06/09/2018 - 14:05 - 14:50
Location:
MPIM Lecture Hall In 1997 Maeda established a conjecture in his work with Hida
that has been popularized in the following form:
the characteristic polynomials of the Hecke operators acting on the
space of cusp forms of fixed weight for SL(2,Z) are all irreducible and
have full Galois group. Beyond Maeda-Hida's work, this conjecture, if
true, would have different consequences; for example for the
non-vanishing of L-functions or the inverse Galois problem. We will
explain the significance of the conjecture and discuss some recent
progress.
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