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        "event_title":"Algebraic geometry seminar: Syzygies of adjoint linear series on projective varieties",
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        "combined_title":"Algebraic geometry seminar: Syzygies of adjoint linear series on projective varieties: Justin Lacini (Princeton)",
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        "description":"Syzygies of algebraic varieties have long been a topic of intense interest among algebraists and geometers alike. Starting with the pioneering work of Mark Green on curves, numerous attempts have been made to extend these results to higher dimensions. Ein and Lazarsfeld proved that if A is a very ample line bundle, then K_X + mA satisfies property N_p for any m>=n+1+p. It has ever since been an open question if the same holds true for A ample and basepoint free. In recent joint work with Purnaprajna Bangere we give a positive answer to this question.",
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        "event_title":"CAS Lecture. A Precarious Armenia: When Does the Future Look Like the Past?",
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        "combined_title":"CAS Lecture. A Precarious Armenia: When Does the Future Look Like the Past?: Gerard Jirair Libaridian, Emeritus University of Michigan",
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        "description":"Attend in person or on Zoom at https:\/\/myumi.ch\/738mz\r\n\r\nDive into the intricate interplay between historical perception and future projections as explored in the latest volume of *A Precarious Armenia*. Gerard Libaridian sheds light on the dynamic and often disastrous relationship between our perception of the past and projections of the future, a relationship that can define the policies of the present.\r\nDr. Gerard Jirair Libaridian is a retired professor of history from the University of Michigan and the author of numerous books and articles on modern Armenian history, contemporary politics, and international relations. He has taught and lectured extensively in institutions of higher learning in the US and internationally.\r\n\r\nFrom 1991 to 1997 he served as advisor to the First President of Armenia, First Deputy Minister of Foreign Affairs, Secretary of the National Security Council, and chief negotiator with Azerbaijan and Turkey, among others.\r\n\r\nDr. Libaridian's most recent volume in English is titled *A Precarious The Third Republic, the Karabakh Conflict, and Genocide Politics* (London, Gomidas Institute, 2023).\r\n\r\nIf there is anything we can do to make this event accessible to you, please contact us at armenianstudies@umich.edu. Please be aware that advance notice is necessary as some accommodations may require more time for the university to arrange.",
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        "event_title":"Convergence of the Backward Deep BSDE Method with Applications to Optimal Stopping Problems.",
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        "combined_title":"Convergence of the Backward Deep BSDE Method with Applications to Optimal Stopping Problems.: ZImu Zhu of UCSB",
        "event_subtitle":"ZImu Zhu of UCSB",
        "event_type":"Workshop \/ Seminar",
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        "description":"The optimal stopping problem is one of the core problems in financial markets, with broad appli- cations such as pricing American and Bermudan options. The deep BSDE method [Han, Jentzen and E, PNAS, 115(34):8505-8510, 2018] has shown great power in solving high-dimensional forward- backward stochastic differential equations (FBSDEs), and in- spired many applications. However, the method solves backward stochastic differential equations (BSDEs) in a forward manner, which can not be used for optimal stopping prob- lems that in general require running BSDE backwardly. To overcome this difficulty, a recent paper [Wang, Chen, Sudjianto, Liu and Shen, arXiv:1807.06622, 2018] proposed the back- ward deep BSDE method to solve the optimal stopping problem. In this paper, we provide the rigorous theory for the backward deep BSDE method. Specifically, 1. We derive the a posteriori error estimation, i.e., the error of the numerical solution can be bounded by the training loss function; and; 2. We give an upper bound of the loss function, which can be suffi- ciently small subject to universal approximations. We give two numerical examples, which present consistent performance with the proved theory. This is a joint work with C.Gao, S.Gao and R.Hu.",
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