*** Apologize for cross-posting *** On April Thursday 21 at 15:30, Cagin Ararat (Bilkent University) will give a virtual seminar “in Insubria & Bicocca”, to which you are all invited. Title and abstract below. Title: Set-valued martingales and backward stochastic differential equations Abstract: Motivated by the connection between univariate dynamic risk measures and backward stochastic differential equations, we start building a theory for set-valued backward stochastic differential equations (SV-BSDE). As a first step for this purpose, we formulate a simple SV-BSDE with a compact-valued driver function and study the well-posedness of this SV-BSDE. A key tool in establishing well-posedness is the availability of a stochastic integral representation for set-valued martingales. We prove a new martingale representation theorem which, in contrast to the available literature, allows the initial value of the martingale to be nontrivial. This is a joint work with Jin Ma (USC) and Wenqian Wu (USC). The seminar will be on Microsoft Teams. You can find the information to join below. Topic: Cagin Ararat - Set-valued martingales and backward stochastic differential equations Time: Apr 21, 2021 03:30 PM Rome Where: Microsoft Teams Link: https://teams.microsoft.com/l/meetup-join/19%3ameeting_Yzc1OGY5YjAtNjNhZC00O... Please forward to anyone interested. Kind regards, Emanuela Rosazza Gianin and Elisa Mastrogiacomo