Iwasawa Theory on Graph
演讲者
时间
2025年10月30日 12:15 至 13:00
地点
A4-1
摘要
In graph theory, certain covering maps satisfying specific symmetry conditions can be viewed as analogues of Galois extensions in number theory. Recent studies have revealed that, along the $\mathbb{Z}_p$-extension tower of graphs, the sizes of the Jacobian groups exhibit distributional behaviors strikingly similar to those in classical Iwasawa theory. This talk will present the main results of this analogy and highlight a particularly example of a $\mathbb{Z}_p$-extension arising from the isogeny graphs of elliptic curves with level structures.