Algebra/Topology seminar

Speaker: Aaron Landesman

Title: Homological stability for Hurwitz spaces

Abstract: We will explain joint work with Ishan Levy, where we show the homology of Hurwitz spaces stabilizes. We also compute the dominant value of this stable homology. In addition to the motivation from topology, this has several applications to algebraic geometry and number theory, such as counting the number of Galois G extensions of function fields over finite fields.