Charlotte Scott Centre for Algebra

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

Abstract:

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.

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