# Pavlo Yatsyna: Quadratic forms and totally real number fields

**Time: **
Tue 2023-12-12 11.30 - 12.30

**Location: **
KTH, 3721

**Participating: **
Pavlo Yatsyna (Aalto)

**Abstract.**

In this talk, I'll share recent progress in the study of quadratic forms defined over rings of integers. Specifically, we'll zero in on the question of what integers a given quadratic form represents and when it represents all of them. In the second half, I will discuss what we know about totally real number fields, which have quadratic forms with rational integer coefficients that represent all totally positive integers.