# Nic Fellini (Queen's University)

Date

Thursday September 19, 20244:30 pm - 5:30 pm

Location

202 JEFFERY HALL**Math & Stats Number Theory Seminar
Thursday, September 19th, 2024**

**Time:** 4:30 p.m. **Place:** Jeffery Hall, Room 202

**Speaker:** Nic Fellini (Queen's University)

**Title:** Congruence relations of Ankeny–Artin–Chowla type for real quadratic fields

**Abstract:** In 1951, Ankeny, Artin, and Chowla released a short note containing four congruence relations involving the arithmetic invariants of Q(sqrt(d)) for d = 1 mod 4. They proved three of these relations the following year, in a paper published in the Annals of Mathematics. In this talk, I will discuss how the work of Ankeny, Artin, and Chowla generalizes to any real quadratic field, as well as present some recent results that connect their work to Iwasawa theory.