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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)

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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.