Matija Kazalicki (Zagreb): Recent development in the theory of rational Diophantine m-tuples

Austrian-Hungarian Diophantine Number Theory seminar
https://uni-salzburg.webex.com/uni-salzburg/j.php?MTID=ma0af9251b27aa0e859ef13a87793b6e4

Abstract: First, we will present two results of the similar flavour - that there are infinitely many rational Diophantine sextuples with square denominators, and that there are infinitely many rational Diophantine quintuples with the property that the product of any of its two elements is a square. This is a joint work with Andrej Dujella and Vinko Petričević. The generalization of the parametrization of Diophantine quadruples (used in the first result) to the D(q)-quadruples will be explained in the rest of the talk. This is joint work with Goran Dražić.