Algebra Seminar, Christopher Rasmussen (Wes): 'Constrained torsion over Q. The case g=p=2.'

Friday, October 10, 2014
1:10 PM - 2:00 PM (ET)
ESC 618
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Academic Calendar
David Pollack
Math/CS Algebra Seminar

Abstract: Fix a prime p. Related to a long-standing question of Ihara on the nature of the canonical outer pro-p Galois representation, it is natural to ask which abelian varieties A/K have p-power torsion which generate a pro-p extension after adjoining p-th roots of unity. In some cases, the reduction type of the variety is enough to determine the structure of the prime power torsion extension. We resolve a new case, namely dimension 2 Jacobians over Q with p = 2, and discuss to what extent we can hope for a generalization.

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