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Spring 2026 Math For All; April 10-11, 2026
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Week of January 16 - January 12
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January 14, 2026
Algebra and Combinatorics
Topic: Frobenius singularities of permanental varieties
Speaker: Trung Chau - Chennai Mathematical Institute (Host): Tai Ha
Abstract: A permanent of a square matrix is exactly its determinant with all minus signs becoming plus. Despite the similarities, the computation of a determinant can be done in polynomial time, while that of a permanent is an NP-hard problem. In 2002, Laubenbacher and Swanson defined P_t(X) to be the ideal generated by all t-by-t subpermanents of X, and called it a permanental ideal. This is a counterpart of determinantal ideals, the center of many areas in Algebra and Geometry. We will discuss properties of P_2(X), including their Frobenius singularities over a field of prime characteristic, and related open questions.
Location: Gibson Hall, room 126
Time: 3:00 PM
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