Mathematics Colloquia and Seminars

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 In general, the Hadamard (i.e. entry-wise) product of matrices does not preserve the positivity of the determinant. Nevertheless, a classical theorem of Maló states that positivity will be preserved for certain infinite matrices. Sokal recently conjectured that Maló's result can be upgraded to the setting of symmetric functions. In the present work, we investigate both Sokal’s original conjecture and a generalization involving Temperley-Lieb immanants, and settle a class of special cases. This talk is based on joint work with Jang Soo Kim, Jaeseong Oh, and Daniel Soskin.