Abstract: Hilbert's irreducibility theorem asserts that an irreducible $f(t,x)$ over a number field $k$ stays irreducible under most specializations $t=t_0$ in $k$. We shall discuss what happens when $t_0$ ranges instead over all algebraic numbers of a fixed degree $d$, so that the field varies with the point, and explain how uniform irreducibility follows from gonality bounds for resolvent curves. Based on joint work with Borys Kadets.
Event Date
2026-09-30
Event Time
04:00 pm ~ 05:15 pm
Event Location
Wachman 312