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Speaker:

Paloma Bengoechea
Affiliation:

ETH Zürich
Date:

Thu, 2018-09-06 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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