※ 시간: 16:30~17:10 ※ 장소: 상산관 101호 Zoom: https://snu-ac-kr.zoom.us/j/2473239867  Markov jump processes and corresponding non-local opeartors are basic building blocks for modeling many heavy-tailed random phenomena. In this talk, Iwill discuss general ideas in the study of Markov jump processes and thier (Dirichlet) heat kernel estimates, and then give a brief introductionfor recent progresses and their applications. This talk overviews the following topics: Markov jump processes, fractional Laplacian, non-local operators, (Dirichlet) heat kernel estimates, stability of estimates, Harnack inequality, boundary Harnack principle.