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Algebra Seminar: Z-hat invariants for Lie superalgebras | Events at University of Southern California | Capmus™ Student Marketplace
Algebra Seminar: Z-hat invariants for Lie superalgebras
Algebra Seminar: Z-hat invariants for Lie superalgebras
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Events
General
University of Southern California
3620 South Vermont Avenue, Los Angeles, CA 90089
Listed 12 hours ago
Date November 11, 2025 9:17 PM
Description
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<b>Matt Young, Utah State</b></p>
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Title: <i>Z-hat invariants for Lie superalgebras</i></p>
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Abstract: The goal of this talk is to explain a representation theoretic approach to physicists' so-called<i> Z</i>-hat invariants of 3-manifolds, as introduced by Gukov, Pei, Putrov and Vafa in the context of supersymmetric gauge theory. Specifically, we use the representation theory quantum supergroups to construct non-semisimple analogues of the modular tensor categories Reshetikhin, Turaev, Andersen and others. These categories can in turn be used to construct quantum invariants of 3-manifolds, certain limits of which recover the <i>Z</i>-hat invariants. Based on joint work with Francesco Costantino, Matthew Harper and Adam Robertson.</p>
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