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GLNT: Rational torsion in modular Jacobians

Preston Wake (Michigan State University)
Monday, November 20, 2023
4:15-5:30 PM
3088 East Hall Map
For a prime number N, Ogg's conjecture states that the torsion in the Jacobian of the modular curve X_0(N) is generated by the cusps. Mazur proved Ogg's conjecture as one of the main theorems in his "Eisenstein ideal" paper. I'll talk about a generalization of Ogg's conjecture for squarefree N and a proof using the Eisenstein ideal. This is joint work with Ken Ribet.
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Group, Lie and Number Theory Seminar - Department of Mathematics, Department of Mathematics