Iwasawa’s asymptotic class number formula in graph theory

Speaker:

Daniel Vallieres

Affiliation:

California State University, Chico/MPIM

Date:

Thu, 10/11/2022 - 15:00 - 16:00

Location:

MPIM Lecture Hall [2]

Parent event:

MPI-Oberseminar [3]

Parent event:

Number theory lunch seminar [4]

MPI-Oberseminar jointly with the Number Theory Lunch Seminar.
Hybrid talk.
Contact for zoom details: Christian Kaiser (kaiser@mpim-bonn.mpg.de)

In the 1950s, Iwasawa proved his now celebrated theorem on the growth of the p-part of the class number in some infinite towers of number fields. During the past few years, it has been observed that some graph theoretical invariants, such as the number of spanning trees, behave similarly in some infinite towers of graphs. In this talk, I will survey some of the results obtained with various collaborators in this direction.