Math and Stats Colloquium: Iwasawa Theory for branched Z_p-towers of finite graphs

Friday, Oct. 4, 2024, 3–4 p.m.

Rusiru Gambheera - UC Santa Barbara

Title: Iwasawa Theory for branched Z_p-towers of finite graphs

Abstract: Motivated by the analogy between number theory and graph theory, one can study how the number of spanning trees varies in infinite Galois towers above a fixed finite connected graph just as one does for the class number in classical Iwasawa theory for number fields. This has been done using both analytic and algebraic methods for the case where the intermediate morphims of graphs are unramified. We generalize this to the ramified towers of graphs using algebraic methods. This is joint work with Daniel Vallieres.

Mathematics and Statistics Colloquium Series