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        "event_title":"VIRTUAL | CEW+INSPIRE MIDWEEK MINDFULNESS GUIDED SITS",
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        "event_title":"Recruitment Webinar: Tribal Colleges and ANNHS Institutions",
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        "event_title":"Introduction to Schubert calculus and Schubert polynomials",
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        "time_zone":"America\/Detroit",
        "event_title":"Mordell-Weil for Abelian Varieties",
        "occurrence_title":"",
        "combined_title":"Mordell-Weil for Abelian Varieties: Alice Lin",
        "event_subtitle":"Alice Lin",
        "event_type":"Workshop \/ Seminar",
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        "description":"The Mordell--Weil Theorem states that the rational points of an abelian variety are finitely generated. The proof is in two steps: first, we will reduce the problem to the weak Mordell--Weil Theorem using the theory of heights. Then we will prove the weak Mordell--Weil Theorem from the finiteness of the Selmer group. The talk will be accessible to anyone who has seen some algebraic number theory.",
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        "datetime_modified":"20230116T104858",
        "datetime_start":"20230118T150000",
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        "time_zone":"America\/Detroit",
        "event_title":"Reflected BSDEs with two optional barriers on Brownian filtration",
        "occurrence_title":"",
        "combined_title":"Reflected BSDEs with two optional barriers on Brownian filtration: Maurycy Rzymowski, Nicolaus Copernicus University",
        "event_subtitle":"Maurycy Rzymowski, Nicolaus Copernicus University",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"We present results on Reflected Backward Stochastic Differential Equations (RBSDE for short) on Brownian filtration with two optional barriers satisfying some separation condition. \r\n\r\nIt has been widely recognized that RBSDEs provide a useful framework for studying problems in many fields, such as financial mathematics, stochastic optimal control and partial differential equations (e.g. optimal stopping problem, Dynkin games, stopping and control games, switching problem, PDEs with singular data, homogenization, boundary problems, regularity problems, numerical schemes  etc.).\r\n\r\nThe theory of RBSDEs is well studied for c\u00e0dl\u00e0g barriers. However,  there is only a few papers concerning BSDEs with non-c\u00e0dl\u00e0g barriers. It is caused mostly by the following: the main component of the solution does not have to be a c\u00e0dl\u00e0g process, the minimality condition (guaranteeing uniqueness) is complicated and unintuitive, and the basic proof technique of c\u00e0dl\u00e0g case, i.e. penalization method, does not apply to non-c\u00e0dl\u00e0g case.\r\n\r\nWe will present the results on the existence and uniqueness of a solution to RBSDEs with two optional barriers. The generator is assumed to be non-increasing with respect to the value variable (with no restrictions on the growth) and Lipschitz continuous, with sublinear growth, with respect to the control variable. Data are in Lp for some  p\u22651. We also present some results concerning methods of  approximation of the solution via modified penalization scheme, and present the link between solutions of RBSDEs with optional barriers and the value processes for generalized nonlinear Dynkin games.\r\n\r\nThe  results were obtained in cooperation with Tomasz Klimsiak and Leszek S\u0142omi\u0144ski.",
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