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 p-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.
Michael Schein is inviting you to a scheduled Zoom meeting.
Topic: BIU Algebra Seminar -- Stanojkovski
Time: Nov 4, 2020 10:30 AM Jerusalem
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Meeting ID: 871 3155 0161
Password: Order of the group A_10
תאריך עדכון אחרון : 25/10/2020