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        "time_zone":"America\/Detroit",
        "event_title":"60 Minutes Around the Globe",
        "occurrence_title":"60 Minutes Around the Globe: Tajikistan",
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    {
        "datetime_modified":"20260908T142951",
        "datetime_start":"20260918T150000",
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        "event_title":"Extremal set theory as algebraic geometry",
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        "combined_title":"Extremal set theory as algebraic geometry: Russ Woodroofe (University of Primorska)",
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        "description":"Extremal set theory asks questions such as \"what is the largest family of pairwise intersecting k-element subsets of an n-element set?\"  Many questions of this type can be modeled with exterior algebras, and admit extensions such as \"what is the largest self-annihilating subspace of k-forms in an n-variable exterior algebra?\"  The shifting technique in extremal set theory corresponds to algebraic geometric limits of certain curves in a Grassmannian.\n\nIn this talk, I will overview these connections, and go on to discuss recent joint work with Bulavka and Gandini.  We find a maximum subspace of k-forms in an n-variable exterior algebra that is self-annihilating but not annihilated by any 1-form.  A difficulty is that \"not annihilated by any 1-form\" is not a closed condition in the Grassmannian.  This work extends the Hilton-Milner theorem of extremal set theory to the exterior algebra setting, and answers questions of Scott and Wilmer and of my own.",
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