AbstractExtremal eigenvalues of graphs are of particular interest in theoretical computer science and combinatorics. Specifically, the spectral gap—the gap between the first and second largest eigenvalues—measures the expanding property of the graph. In this talk, I will focus on random $d$-regular graphs, for which the largest eigenvalue is $d$.I'll first explain some conjectures on the extr...
BIMSA-YMSC Number Theory Lunch SeminarOrganizers:Yong Suk Moon, Koji ShimizuSpeaker:Xiuwu ZhuTime:12-1 pm on ThursdaysOct. 30, 2025Venue:BIMSA A4-1Title: Iwasawa Theory on GraphAbstract: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 $\mathbb{Z}_p$-ex...