Time: September 10, 2024, 2:00 pm Place: Room 403, IMI - BAS Speaker: Boaz Moerman (Utrecht University) Title: Generalized integral points and strong approximation Further information: https://icms.bg/generalized-integral-points-and-strong-approximation-talk-by-boaz-moerman/ Abstract. The Chinese remainder theorem states that given coprime integers p_1, …, p_n and integers a_1, …, a_n , we can always find an integer m such that m \equiv a_i \mbox{ mod } p_i for all i . Similarly given distinct numbers x_1,…, x_n and y_1, …, y_n we can find a polynomial f such that f(x_i)=y_i . These statements are two instances of strong approximation for the affine line (over the integers \mathbb{Z} and the polynomials k[x] over a field k ). In this talk we will [...]