Modern Breakthroughs in Diophantine Problems

Videos from BIRS Workshop

, Wake Forest University
- 10:03
Sporadic Points of Odd Degree on $X_1(N)$ Coming from $\mathbb{Q}$-Curves
Watch video | Download video: 202206200902-Bourdon.mp4 (318M)
, Ruprecht-Karls-Universität Heidelberg
- 11:16
On quadratic analogues of Kenku's theorem
Watch video | Download video: 202206201033-Banwait.mp4 (243M)
, University of Warwick
- 12:07
On some generalized Fermat equations of the form $x^2 + y^{2n} = z^p$
Watch video | Download video: 202206201119-Michaud-Jacobs.mp4 (154M)
, University of Michigan
- 14:13
Integral points in families of elliptic curves
Watch video | Download video: 202206201332-Chan.mp4 (174M)
, Pontificia Universidad Catolica de Chile
- 10:02
On Vojta's conjecture with truncation for rational points
Watch video | Download video: 202206220901-Pasten.mp4 (278M)
, Dartmouth College
- 11:15
Deep learning Gauss-Manin connections
Watch video | Download video: 202206221031-Kulkarni.mp4 (205M)
, Royal Military College of Canada, Carleton University and L'Université du Québec à Montréal (UQAM)
- 12:05
Approximating rational points via filtered linear series, the (parametric) Subspace Theorem and concepts that are near to $K$-stability
Watch video | Download video: 202206221121-Grieve.mp4 (289M)
, University of Warwick
- 11:19
The Modular Approach to Diophantine Equations over totally real fields
Watch video | Download video: 202206231029-Mocanu.mp4 (143M)
, Government of Canada
- 12:13
Higher modularity of elliptic curves over function fields
Watch video | Download video: 202206231123-Logan.mp4 (176M)
, MPIM Bonn
- 14:21
Determining cubic and quartic points on modular curves
Watch video | Download video: 202206231331-Goodman.mp4 (262M)
, Leibniz Universität Hannover
- 10:02
Torsion points in families of abelian varieties
Watch video | Download video: 202206240902-Gao.mp4 (141M)
, University of Warwick
- 11:07
Efficient resolution of Thue-Mahler equations
Watch video | Download video: 202206241031-Gherga.mp4 (125M)
, University of Toronto
- 12:03
Prime values of $f(a,b^2)$ and $f(a,p^2)$, $f$ quadratic
Watch video | Download video: 202206241119-Xiao.mp4 (120M)