Sam Chow, Oxford University

Event

9th floor Room LB 921-4, Concordia University, CA

Title: A Galois counting problem

Abstract: We count monic cubic and quartic polynomials with prescribed Galois group. We obtain the order of magnitude for quartics, and show that if then irreducible non-polynomials of degree are less prevalent than reducible polynomials of degree . The latter confirms the cubic and quartic cases of a 1936 conjecture of van der Waerden. Joint work with Rainer Dietmann.

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