University of Connecticut

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SIGMA Seminar
A classification of isogeny-torsion graphs
Garen Chiloyan

Friday, November 1, 2019
12:20pm – 1:20pm

Storrs Campus
MONT 214

An isogeny graph is a nice visualization of the isogeny class of an elliptic curve. A theorem of Kenku shows sharp bounds on the number of distinct isogenies that a rational elliptic curve can have (in particular, every isogeny graph has at most 8 vertices). In this talk, we classify what torsion subgroups over $\mathbb{Q}$ can occur in each vertex of a given isogeny graph of elliptic curves defined over the rationals. This is joint work with \'Alvaro Lozano-Robledo.


S.I.G.M.A. Seminar (primary), UConn Master Calendar

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