Title: Distribution of the cokernels of random p-adic matrices     Abstract: Cohen–Lenstra heuristics predicts the distribution of the class groups of a random quadratic number field. Motivated by the Cohen–Lenstra heuristics, Friedman and Washington studied the distribution of the cokernels of random matrices over the ring of p-adic integers. This has been generalized in many directions, as well as some applications to the distribution of random algebraic objects. In this talk, first we give an overview of random matrix theory over the ring of p-adic integers. After that, we explain how to prove the universality results for random p-adic matrices using the moments of random groups, which is an analogue of the moments of random variables. We also investigate the distribution of the cokernels of random p-adic matrices with given zero entries, based on the joint work with Dong Yeap Kang and Myungjun Yu.