Iwasawa Theory on Graph
Organizers
Speaker
Time
Thursday, October 30, 2025 12:15 PM - 1:00 PM
Venue
A4-1
Abstract
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.