Student Number Theory SeminarExport this event to calendar

Tuesday, November 10, 2015 — 2:30 PM EST

Stanley Xiao, Department of Pure Mathematics, University of Waterloo

“Rational automorphisms of binary quartic forms”

Last week, we saw that there is a canonical correspondence between binary quartic forms and elliptic curves which preserves the I and J invariants of the form. Bhargava and Shankar showed using this correspondence that the PGL2(Q) automorphism group of integral binary quartic forms are isomorphic to the rational-2-torsion subgroup of the corresponding elliptic curve. In this talk, we will generalize the theorem of Bhargava and Shankar and give a full classification of possible automorphism groups of integral binary quartic forms with non-zero discriminant in the larger group GL2(Q).

MC 5479

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