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
Watch video | Download video: 201805280901-Hindry.mp4 (415M)
, Imperial College London
- 11:42
On uniformity conjectures for abelian varieties and K3 surfaces over number fields
Watch video | Download video: 201805281112-Skorobogatov.mp4 (225M)
, University of Michigan
- 12:47
Cycles in the supersingular l-isogeny graphs and corresponding endomorphisms
Watch video | Download video: 201805281150-Park.mp4 (457M)
, Max Planck Institute for Mathematics
- 15:59
Variation of the root number in families of elliptic curves
Watch video | Download video: 201805281523-Desjardins.mp4 (151M)
, MPI Bonn
- 16:53
Weak and strong approximation for a group scheme
Watch video | Download video: 201805281621-Cao.mp4 (207M)
, Emory University
- 17:28
Irrational points on random hyperelliptic curves
Watch video | Download video: 201805281705-Morrow.mp4 (108M)
, Max Planck Institute for Mathematics, Bonn
- 09:52
The behavior of rational points in families
Watch video | Download video: 201805290901-Sofos.mp4 (200M)
, École Polytechnique Fédérale de Lausanne
- 10:38
Rational points over $C_1$-fields of characteristic 0
Watch video | Download video: 201805291012-Pieropan.mp4 (220M)
, University of Manchester
- 11:35
An Erdős-Kac law for local solubility in families of varieties
Watch video | Download video: 201805291110-Loughran.mp4 (95M)
, Rice University
- 15:50
Chabauty-Coleman experiments for genus 3 hyperelliptic curves
Watch video | Download video: 201805291520-Etropolski.mp4 (127M)
, Université Grenoble Alpes
- 16:51
Density of rational points on certain elliptic K3 surfaces
Watch video | Download video: 201805291619-Huang.mp4 (257M)
, Federal University of Rio de Janeiro
- 17:33
Integral points on generalised affine Châtelet surfaces
Watch video | Download video: 201805291701-Mitankin.mp4 (228M)
, Universiteit Leiden
- 09:32
Verifying Zariski density of rational points on del Pezzo surfaces of degree 1
Watch video | Download video: 201805300900-vanLuijk.mp4 (134M)
, TU Graz
- 10:10
Average bounds for l-torsion in class groups
Watch video | Download video: 201805300941-Frei.mp4 (306M)
, University of Wisconsin-Madison
- 10:45
Slicing the stars: counting algebraic numbers
Watch video | Download video: 201805301018-Gunther.mp4 (125M)
, Rice University
- 11:45
Odd order transcendental obstructions to the Hasse principle on general K3 surfaces
Watch video | Download video: 201805301115-Berg.mp4 (137M)
, University of Canterbury
- 12:26
Obstructions to existence of rational points on curves from subgroups of the Brauer group
Watch video | Download video: 201805301155-Voloch.mp4 (228M)
, Oxford University
- 09:59
Manin's conjecture for a bi-projective variety
Watch video | Download video: 201805310900-Heath-Brown.mp4 (393M)
, Utrecht University
- 10:45
Diophantine inequalities for ternary diagonal forms
Watch video | Download video: 201805311013-Schindler.mp4 (306M)
, Universiteit Leiden
- 11:38
A uniform bound on the Brauer groups of certain log K3 surfaces
Watch video | Download video: 201805311110-Bright.mp4 (191M)
, Emory University
- 12:49
Counting points, counting fields, and heights on stacks
Watch video | Download video: 201805311150-Zureick-Brown.mp4 (420M)
, Durham University
- 15:50
Quartic forms in 30 variables
Watch video | Download video: 201805311520-Vishe.mp4 (242M)
, University of Reading
- 16:48
Arithmetic of rational points and zero-cycles on Kummer varieties
Watch video | Download video: 201805311620-Newton.mp4 (244M)
, Imperial College London
- 17:26
Finite descent obstruction and non-Abelian reciprocity
Watch video | Download video: 201805311700-Overkamp.mp4 (216M)
, Kings College London
- 10:37
Parity of 2-Selmer ranks of abelian varieties over quadratic extensions
Watch video | Download video: 201806011012-Morgan.mp4 (99M)
, University of Groningen, The Netherlands
- 11:41
Two arithmetical aspects of Poncelet's closure theorem
Watch video | Download video: 201806011109-Top.mp4 (141M)