Around Hilbert’s Tenth Problem

Speaker: Mihai Prunescu (University of Bucharest)

Abstract: We discuss different implications of the negative answer of Hilbert’s Tenth Problem: the exponential Diophantine equation over ℕ and ℚ, the minimal number of variables which lead to an undecidable problem over ℤ, the homogeneous Diophantine problem over ℤ.