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summer 2018
 
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Wojciech J. Gajda

professor of mathematics

Mailing address:
Faculty of Mathematics and Computer Science
Adam Mickiewicz University
Umultowska 87, 61-614 PoznaƄ, POLAND
Office: Collegium Mathematicum, B1-35
Phone: +48 (61) 829 5503
Fax: +48 (61) 829 5315
Email: gajda AT amu DOT edu DOT pl

Research interests:

arithmetic geometry, number theory, algebraic topology, algebraic K-theory

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Matija Kazalicki (University of Zagreb

08.06.2022 11:00, B1-37

Title: Quadratic twists of genus one curves

Abstract:

In this talk, we investigate the existence of a rational point on genus one curve dy^2=(x^2-x-3)(x^2+2x-12), where |d|=p is a prime. As a consequence, for those d's for which such point exists, we conclude that there are infinitely many rational D(d)-quintuples. This is a work in progress.