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Recent extensions of scalar and matrix polynomial properties and their interactions – Aaron Melman (Santa Clara University, USA)

Several results for scalar polynomials are extended and then generalized to matrix polynomials. Among them are a directional version of Pellet’s theorem for both scalarand matrix polynomials, which establishes an exclusion interval for the…

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Arithmetic of homogeneous spaces over global fields of characteristic p – David Harari (Université de Paris-Saclay)

Let $K$ be the function field of a curve over a finite field. Let $X$ be a homogeneous space of a reductive group over $K$. We discuss cohomological obstructions to the local-global principle on $X$. Similar results for weak and strong approximation…

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