Speaker: Lior Bary-Soroker (Essen-Duisburg) Title: Irreducible values of polynomials Time: Wednesday, June 23, 2010 at 16:10 Place: Schreiber 007 Abstract: Does there exist a polynomial f(X) such that all polynomials f(X), f(X)+1, f(X)+2, ..., f(X)+285 are irreducible? Clearly the answer depends on the field the coefficients are taken from. We will discuss a generalization of this problem (aka Schinzel's hypothesis H for polynomial rings), some recent results, and the connection with Hilbert's irreducibility theorem.