Modular curves and the classical Hessian

Algebra and Number Theory Seminar

Meeting Details

For more information about this meeting, contact Kristin Berrigan, Robert Vaughan, Mihran Papikian, Ae Ja Yee, Kirsten Eisentraeger, Jack Huizenga.

Speaker: Wei Ho, University of Michigan

Abstract: The Hessian of a plane cubic curve is classically described using partial derivatives or polars. In this talk, we explore another construction of the cubic Hessian (and variants), and relate these constructions to isogenies of a modular curve (in particular, maps between certain moduli spaces of genus one curves with extra structure). We will explain how input from number theory and dynamics also helps to understand such classical objects.

Room Reservation Information

Room Number: 106 McAllister

Date: 01/17/2019

Time: 11:00am - 11:50am