Universal Zforms over totally real number fields Srijonee Shabnam Chaudhury

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Talk by Srijonee Shabnam Chaudhury (Harish-Chandra Research Institiute), at the Antwerp Algebra Colloquium on June 21, 2024. • In this talk, we introduce the notion of universal quadratic forms over number fields. Then we discuss how to construct, for any positive integer m, certain totally positive algebraic integers alpha in a real biquadratic number field K such that m.alpha is not a sum of integral squares in K. 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