Events by date

Cassie Naymie, Pure Mathematics, University of Waterloo

“Roth’s theorem on finite abelian groups”

Ross Willard, Pure Mathematics, University of Waterloo

"Larose's theorem"

Putting together some of the machinery developed this term, I will prove Larose’s Theorem: if X is a finite, connected reflexive digraph and X admits a Taylor operation, then for every k ≥ 1, the k-th homotopy group of X is trivial.

Jerry Wang, Harvard University

"Pencils of quadrics and 2-Selmer groups of Jacobians of hyperelliptic curves"

Since Bhargava and Shankar's new method of counting orbits, average orders of the 2,3,4,5-Selmer groups of elliptic curves over Q have been obtained. In this talk we will look at a construction of torsors of Jacobians of hyperelliptic curves using pencils of quadrics and see how they are used to compute the average order of the 2-Selmer groups of Jacobians of hyperelliptic curves over Q with a rational (non-)Weierstrass point.

Ian Payne, Pure Mathematics, University of Waterloo

"I Can't Get No (Constraint) Satisfaction"