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    MPIM

    On some arithmetic statistics for matrices parametrised by polynomialsMPIM

    by Alina Ostafe (University of New South Wales/MPIM)

    → Europe/Berlin
    MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

    MPIM, Vivatsgasse, 7 - Lecture Hall

    Max Planck Institute for Mathematics

    120
    Description

    Number theory lunch seminar (Different time!)

    In this talk we consider various questions of arithmetic statistics for matrices with elements of certain arithmetic structure, in particular, rational numbers of height at most H, parametrised by polynomials evaluated at integers of size at most H, or S-units. This questions include counting such matrices having a given determinant, rank, or characteristic polynomial.