We meet weekly on Wednesday at 3:00 PM (Central time), TBA
Organizers: Alessandra Constantini and Kalina Mincheva.
Spring 2026
January 14
Trung Chau, Chennai Mathematical Institute. Frobenius singularities of permanental varieties.
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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.