October 19, 2020
4:15PM - 5:15PM
Zoom (email the organizers for a link)
Add to Calendar
2020-10-19 16:15:00
2020-10-19 17:15:00
Number Theory Seminar - Efthymios Sofos
Title: Schinzel Hypothesis with probability 1 and rational points
Speaker: Efthymios Sofos - University of Glasgow
Abstract: Joint work with Alexei Skorobogatov, preprint: https://arxiv.org/abs/2005.02998. Schinzel's Hypothesis states that every integer polynomial satisfying certain congruence conditions represents infinitely many primes. It is one of the main problems in analytic number theory but is completely open, except for polynomials of degree 1. We describe our recent proof of the Hypothesis for 100% of polynomials (ordered by size of coefficients). We use this to prove that, with positive probability, Brauer--Manin controls the Hasse principle for Châtelet surfaces.
Seminar Link
Zoom (email the organizers for a link)
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2020-10-19 16:15:00
2020-10-19 17:15:00
Number Theory Seminar - Efthymios Sofos
Title: Schinzel Hypothesis with probability 1 and rational points
Speaker: Efthymios Sofos - University of Glasgow
Abstract: Joint work with Alexei Skorobogatov, preprint: https://arxiv.org/abs/2005.02998. Schinzel's Hypothesis states that every integer polynomial satisfying certain congruence conditions represents infinitely many primes. It is one of the main problems in analytic number theory but is completely open, except for polynomials of degree 1. We describe our recent proof of the Hypothesis for 100% of polynomials (ordered by size of coefficients). We use this to prove that, with positive probability, Brauer--Manin controls the Hasse principle for Châtelet surfaces.
Seminar Link
Zoom (email the organizers for a link)
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Schinzel Hypothesis with probability 1 and rational points
Speaker: Efthymios Sofos - University of Glasgow
Abstract: Joint work with Alexei Skorobogatov, preprint: https://arxiv.org/abs/2005.02998. Schinzel's Hypothesis states that every integer polynomial satisfying certain congruence conditions represents infinitely many primes. It is one of the main problems in analytic number theory but is completely open, except for polynomials of degree 1. We describe our recent proof of the Hypothesis for 100% of polynomials (ordered by size of coefficients). We use this to prove that, with positive probability, Brauer--Manin controls the Hasse principle for Châtelet surfaces.