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Galois Seminar

Friday, March 24, 2017 - 3:15pm

Rachel Pries

Colorado State University


University of Pennsylvania

DRL 4N30

We prove a result about the Galois module structure of the Fermat curve using commutative algebra, number theory, and algebraic topology.
Specifically, we extend work of Anderson about the action of the absolute
Galois group of a cyclotomic field on a relative homology group of the
Fermat curve. By finding explicit formulae for this action, we determine
the maps between several Galois cohomology groups which arise in connection
with obstructions for rational points on the generalized Jacobian.
Heisenberg extensions play a key role in the result. This is joint work
with R. Davis, V. Stojanoska, and K. Wickelgren.