Date/Time
Date(s) - 13/11/2024
10:30 am - 11:30 am

Location: KTH B105

Speaker: Alexandre Zotine (McMaster University)

Title: Kawaguchi–Silverman for Projective Bundles on Elliptic Curves

Abstract: The Kawaguchi-Silverman Conjecture is a recent conjecture equating two invariants of a dominant rational map between projective varieties: the first dynamical degree and arithmetic degree. The first dynamical degree measures the mixing of the map, and the arithmetic degree measures how complicated rational points become after iteration. Recently, the conjecture was established for several classes of varieties, including projective bundles over any non-elliptic curve. We will discuss my recent work with Brett Nasserden to resolve the elliptic case, hence proving KSC for all projective bundles on curves.