School of Mathematics & Physics, University of Lincoln
On Wednesday the 12th of May 2021, Mima Stanojkovski (Max Planck Institute Leipzig) will be giving a seminar on her research at 3pm. The details of her talk are as follows:
Title: Automorphism groups, elliptic curves, and the PORC conjecture
In 1960, Graham Higman formulated his famous PORC conjecture in relation to the function f(p,n) counting the isomorphism classes of groups of order p^n . By means of explicit formulas, the PORC conjecture has been verified for n < 8. Despite that, it is still open and has in recent years been questioned. I will discuss (generalizations of) an example of du Sautoy and Vaughan-Lee (2012), together with a conceptualization of the phenomena they observe. Hidden heroes of this story turn out to be Hessian matrices and torsion points of elliptic curves. This is joint work with Christopher Voll.