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        "date_start":"2026-02-25",
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        "time_start":"16:00:00",
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        "event_title":"Student AIM Seminar: A Beginner\u2019s introduction to optimal control theory",
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        "combined_title":"Student AIM Seminar: A Beginner\u2019s introduction to optimal control theory: Renato Pinto Reveggino",
        "event_subtitle":"Renato Pinto Reveggino",
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        "event_type_id":"21",
        "description":"In this talk I describe the basic deterministic control problem and how to solve it using the method of the adjoint function. The method is motivated through examination of the problem\u2019s structure and properties its solutions would exhibit. Hopefully by the end of this talk you\u2019ll know what an adjoint function is, be able to solve basic optimal control problems, and have an idea of when solutions exist.",
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        "tags":["Applied Mathematics"],
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                "group_name":"Student AIM Seminar - Department of Mathematics",
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    {
        "datetime_modified":"20260219T221509",
        "datetime_start":"20260225T160000",
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        "has_end_time":1,
        "date_start":"2026-02-25",
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        "time_zone":"America\/Detroit",
        "event_title":"Topology seminar: Top-dimensional cohomology of the congruence subgroup Gamma_{0,n}(p)",
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        "combined_title":"Topology seminar: Top-dimensional cohomology of the congruence subgroup Gamma_{0,n}(p): Tatiana Abdelnaim",
        "event_subtitle":"Tatiana Abdelnaim",
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        "event_type_id":"21",
        "description":"Let Gamma_{0,n}(p) be the congruence subgroup of level p of SL_n(Z) whose first column is congruent to (*,0,\\dots,0)^t \\mod p. The cohomology of this subgroup has connections to problems in algebraic K-theory and number theory. Borel and Serre (1973) showed that the rational cohomology of Gamma_{0,n}(p) vanishes above degree n(n+1)\/2. \n\nWe prove that the top-dimensional rational cohomology group of Gamma_{0,n}(p) vanishes for all p equal to 2,3,5,7,13 and when n is at least 3, as well as for all primes p at most 6n-14. We also reprove the known non-vanishing result that this group is nonzero for n=2 for every prime p, and we establish a new non-vanishing for n=3 for all primes p not equal to 2,3,5,7,13. \n\nIn this talk, I will outline the ideas behind these results and briefly survey what is known about the top-dimensional cohomology of related congruence subgroups.",
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                "group_name":"RTG Seminar on Geometry, Dynamics and Topology - Department of Mathematics",
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