Schedule Nov 24, 2020
Finite Simple Groups and Elliptic Curve Arithmetic
John Duncan, Emory
Cite as: doi:10.26081/K6WC94

Monstrous Moonshine emerged in the 1970s, from coincidences relating the largest sporadic simple group to moduli spaces of complex elliptic curves. More recently, manifestations of moonshine have materialized that relate sporadic simple groups to arithmetic invariants of elliptic curves over the rationals. In this talk I will describe forthcoming joint work with Cheng and Mertens that initiates a systematic approach to this phenomena. Our investigations yielded some unexpected results, including a connection between the congruent number problem of antiquity, and the smallest sporadic simple group.


To download: Right-click and choose "Save Link As..."

To begin viewing slides, click on the first slide below. (Or, view as pdf.)


[01] [02] [03] [04] [05] [06] [07] [08] [09] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31] [32] [33] [34] [35] [36] [37] [38] [39] [40] [41] [42] [43] [44] [45] [46] [47] [48] [49] [50] [51] [52] [53] [54] [55] [56] [57] [58]

Author entry (protected)