SMS scnews item created by Stephan Tillmann at Tue 26 Jul 2016 1554
Type: Seminar
Modified: Tue 26 Jul 2016 1555
Distribution: World
Expiry: 25 Oct 2016
Calendar1: 3 Aug 2016 1200-1300
CalLoc1: Carslaw 535A
CalTitle1: Artin’s conjecture for abelian varieties
Auth: tillmann@p710.pc (assumed)

Geometry & Topology

Artin’s conjecture for abelian varieties

Cristian Virdol (Yonsei)

Wednesday 3 August 2016 from 12:00–13:00 in Carslaw 535A

Please join us for lunch after the talk!

Abstract: Artin's primitive root conjecture (1927) states that, for any integer \(a\neq\pm1\) or a perfect square, there are infinitely many primes \(p\) for which \(a\) is a primitive root (mod \(p\)). This conjecture is not known for any specific \(a\). In my talk I will prove the equivalent of this conjecture unconditionally for general abelian varieties for all \(a\). Moreover, under GRH, I will prove the strong form of Artin's conjecture (1927) for abelian varieties, i.e. I will prove the density and the asymptotic formula for the primitive primes.

ball Calendar (ICS file) download, for import into your favourite calendar application
ball UNCLUTTER for printing
ball AUTHENTICATE to mark the scnews item as read
School members may try to .