# Rational and Integral Points via Analytic and Geometric Methods

## Videos from BIRS Workshop 18w5012

, Paris VII
- 10:01
Variation of the Mordell-Weil rank in families of abelian varieties
, Max Planck Institute for Mathematics, Bonn
- 10:44
Prime (and squarefree) values of polynomials in moderately many variables
, Imperial College London
- 11:42
On uniformity conjectures for abelian varieties and K3 surfaces over number fields
, Ohio State University
- 12:47
Cycles in the supersingular l-isogeny graphs and corresponding endomorphisms
, Max Planck Institute for Mathematics
- 15:59
Variation of the root number in families of elliptic curves
, MPI Bonn
- 16:53
Weak and strong approximation for a group scheme
, Emory University
- 17:28
Irrational points on random hyperelliptic curves
, Max Planck Institute for Mathematics, Bonn
- 09:52
The behavior of rational points in families
, École Polytechnique Fédérale de Lausanne
- 10:38
Rational points over $C_1$-fields of characteristic 0
, University of Bath
- 11:35
An Erdős-Kac law for local solubility in families of varieties
, Rice University
- 15:50
Chabauty-Coleman experiments for genus 3 hyperelliptic curves
, Université Grenoble Alpes
- 16:51
Density of rational points on certain elliptic K3 surfaces
, Federal University of Rio de Janeiro
- 17:33
Integral points on generalised affine Châtelet surfaces
, Universiteit Leiden
- 09:32
Verifying Zariski density of rational points on del Pezzo surfaces of degree 1
, TU Graz
- 10:10
Average bounds for l-torsion in class groups
- 10:45
Slicing the stars: counting algebraic numbers
, Rice University
- 11:45
Odd order transcendental obstructions to the Hasse principle on general K3 surfaces
, University of Canterbury
- 12:26
Obstructions to existence of rational points on curves from subgroups of the Brauer group
, Oxford University
- 09:59
Manin's conjecture for a bi-projective variety
, Utrecht University
- 10:45
Diophantine inequalities for ternary diagonal forms
, Universiteit Leiden
- 11:38
A uniform bound on the Brauer groups of certain log K3 surfaces
, Emory University
- 12:49
Counting points, counting fields, and heights on stacks
, Durham University
- 15:50
Quartic forms in 30 variables
- 16:48
Arithmetic of rational points and zero-cycles on Kummer varieties