SEMINAR:Malle conjecture for finite group schemes

Guest: Ratko Darda, Sabancı University

Title: Malle conjecture for finite group schemes (MATH)

Date/Time: December 4, 2024, 13:40

Location: FENS L062

Abstract: The Inverse Galois problem asks whether every finite group G is the Galois group of some Galois extension of the field of rational numbers Q. The Malle conjecture is a quantitative version of it: it predicts the number of Galois extensions of Q with the Galois group G of bounded "size" (such as the discriminant).  In this talk we will present how one can generalize the conjecture for finite group schemes. We show how the generalization helps explain inconsistencies of the Malle conjecture found by Klüners. The talk is based on a joint work with Takehiko Yasuda.

Bio: Ratko Darda is a number theorist and arithmetic geometer. He received his PhD from University of Paris Cité. He was a postdoctoral fellow at Osaka University and the University of Basel. He is currently a Marie Sklodowska Curie Actions postdoctoral fellow at Sabancı University.