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        "event_title":"Learning seminar in algebraic combinatorics: How to describe general torsion classes?",
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        "combined_title":"Learning seminar in algebraic combinatorics: How to describe general torsion classes?: Yucong Lei",
        "event_subtitle":"Yucong Lei",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"Last time we saw that we can describe torsion classes of quiver representations of Type A_n by bracket vectors. In this talk, I will give some more general approaches to describing torsion classes, First I will illustrate them through the familiar Type A_n example. I will also demonstrate how to use them to describe the torsion classes of the representations of the Kronecker quiver. In the second part of the talk, I will use these new descriptions to construct a dual notion of torsion classes, the torsion free classes, and prove that torsion classes form a complete lattice.",
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    {
        "datetime_modified":"20260216T151532",
        "datetime_start":"20260218T143000",
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        "has_end_time":1,
        "date_start":"2026-02-18",
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        "event_title":"Student Number Theory: An introduction to Borcherds lifts",
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        "combined_title":"Student Number Theory: An introduction to Borcherds lifts: Beomseok Kwon",
        "event_subtitle":"Beomseok Kwon",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"Let L be an even lattice of signature (2, n). The Borcherds lifting takes a weakly holomorphic modular form f for Mp(2, \u2124) of weight 1-n\/2 valued in \u2102[L'\/L] and produces a meromorphic modular form \u03a8(f) for O\u207a(L). The divisors of Borcherds lifts are supported on Heegner divisors. In fact, the weight and the divisor of \u03a8(f) are completely determined by the constant term and the principal part of the Fourier expansion of f respectively. Furthermore, Borcherds lifts admit infinite product expansions known as Borcherds products. In this talk, we will use the regularized theta lifts of weak Maass forms to sketch the construction of Borcherds lifts.",
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