Back to Algebraic Geometry Seminar: Fall 2016
Algebraic Geometry Seminar
Date: Wednesday, Nov 16, 2016
Time: 3:30PM - 4:30PM
Location: LCB 222
Joint seminar 2:00-3:00PM LCB 222
Rachel Pries
Colorado State University
Title |
Galois action on homology of Fermat curves |
Abstract |
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. |
Algebraic Geometry