Joint PU/IAS Number Theory
Infinite Orbits In Certain Elliptic Surfaces, Ax Schanuel, and Ramification In The Legendre Family
Motivated by work of Cantat-Dujardin, we study orbits by translations in K3 surfaces with two elliptic fibrations. We prove in particular that all orbits are infinite away from a proper Zariski-closed subset.
Among the tools, beyond the Pila-Wilkie counting, are a new version of Ax-Schanuel by Bakker-Tsimerman and a(n old) theorem of Shioda on ramification of sections of the Legendre family.
This is joint work with Corvaja and Tsimerman
Date & Time
April 11, 2024 | 4:30pm – 5:30pm
Location
*Princeton University, Fine 214*Speakers
Umberto Zannier, Scuola Normale Superiore
Event Series
Categories
Notes
Meeting ID: 920 2195 5230
Passcode: The three-digit integer that is the cube of the sum of its digits.