Alexei Skorobogatov: On uniformity conjectures for abelian varieties and K3 surfaces (NTWS 108)
Channel: Number Theory Web Seminar
Date: 2023-09-02

Abstract: I will discuss logical links among uniformity conjectures concerning K3 surfaces and abelian varieties of bounded dimension defined over number fields of bounded degree. The conjectures concern the endomorphism algebra of an abelian variety, the Néron–Severi lattice of a K3 surface, and the Galois invariant subgroup of the geometric Brauer group. The talk is based on a joint work with Martin Orr and Yuri Zarhin.

Link to slides: https://drive.google.com/file/d/14LM8skg10VE0lDT5rW6Ybo4OeJzKWkRk

Number Theory Web Seminar: https://www.ntwebseminar.org

Original air date: 
Thursday, November 25, 2021 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Daylight Time, 9:30pm Indian Standard Time)
Friday, November 26, 2021 (12am CST, 3am AEDT, 5am NZDT)