Martin Davis and Hilbert's tenth problem

In the 10th of his 23 problems, Hilbert asked to find an algorithm that would allow one to know whether a given arbitrary Diophantine equation has a solution in integers. The solution to this problem became possible only when a mathematically rigorous general notion of algorithm was developed. In the talk, I will discuss some of the concepts and results obtained in computability theory and the role of the American mathematician Martin Davis (1928–2023) in the (negative) solution of Hilbert's 10th problem.
*) The access code indicated in the mailing list. When entering Zoom, specify your name and surname