Colloquium Mathematical Philosophy, Berna Kilinç (Boğaziçi University) gives a talk at the MCMP Colloquium (3 June, 2015) titled "Convergence of Iterated Belief Updates". Abstract: One desideratum on belief upgrade operations is that their iteration is truth-tropic, either on finite or infinite streams of reliable information. Under special circumstances repeated Bayesian updating satisfies this desideratum as shown for instance by the Gaifman and Snir theorem. There are a few analogous results in recent research within dynamic epistemic logic: Baltag et al establish the decidability of propositions for some but not all upgrade operations on finite epistemic spaces. In this talk further convergence results will be established for qualitative stable belief.