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This lecture from the Joint IAS/PU Arithmetic Geometry series features Ishan Levy from the University of Copenhagen discussing "Malle's conjecture for function fields." Explore the quantitative version of the inverse Galois problem, which predicts the asymptotic number of finite Galois extensions of rational numbers with bounded discriminant. Learn about Levy's joint work with Aaron Landesman proving Malle's conjecture for a group G over the function field F_q(t) when q is sufficiently large and relatively prime to the order of G. Discover how their proof incorporates a general homological stability result for Hurwitz spaces as a key new input. The talk takes place on March 10, 2025, at 3:35pm in Simonyi 101 with remote access available.
