Seminar on stochastic processes Date and Time: Tuesday, 17 January, 2023, 4 pm Venue: Ramanujan Hall Host: Ayan Bhattacharya Speaker: Siva Athreya, ICTS, Bengaluru Title: Graphon-valued Stochastic Processes Abstract: We will present our attempts thus far to develop a theory of graphon-valued stochastic processes. We will present a brief review of the theory of Graphons and dynamics constructed on the space of graphons. We shall construct and analyze a natural class of such processes arising from population genetics. In conclusion, we shall present the challenges in our ongoing work on constructing dynamics where the edges and vertices interact with each other. This is joint work with Frank den Hollander and Adrian Roellin.