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        "datetime_modified":"20261027T091109",
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        "date_start":"2026-11-04",
        "date_end":"2026-11-04",
        "time_start":"16:00:00",
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        "event_title":"Probability and Analysis: Strongly log-concave measures and lattices",
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        "combined_title":"Probability and Analysis: Strongly log-concave measures and lattices: Brayden Letwin (UWashington)",
        "event_subtitle":"Brayden Letwin (UWashington)",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"Let L be a lattice in R^n. Suppose that L has the property that the determinant of every non-zero sublattice L' of L is larger than one. We prove that there exists a symmetric random vector X on R^n with a smooth, strictly positive density f on R^n simultaneously enjoying the following two properties: a) f is strongly log-concave; b) X + L is uniform on R^n\/L.\n\nMoreover, the existence of such a density f on R^n characterizes this determinant condition imposed on L. This construction connects several problems in lattice theory to established results in convex geometry. We discuss a range of applications. This is joint work with Victor Reis and Thomas Rothvoss.",
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        "tags":["Mathematics"],
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                "group_name":"Probability and Analysis Seminar - Department of Mathematics",
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