Poincaré institute

Reinventing rational points

Rational points on irrational varieties

Talks

Dan Abramovich :

Resolution in characteristic 0 using weighted blowing up

Anna Cadoret :

Families of abelian varieties with a common isogeny factor

Frédéric Campana :

“Special” manifolds: rational points and entire curves

Yang Cao :

Sous-groupe de Brauer invariant et application

Kęstutis Česnavičius :

Purity for the Brauer group of singular schemes

François Charles :

Affine and mod-affine varieties in arithmetic geometry

Brendan Creutz :

Descent obstructions on constant curves over global function fields

Jordan Ellenberg :

Rational points and fundamental groups

Yonatan Harpaz :

Squares represented by a product of three ternary quadratic forms, and a homogeneous variant of a method of Swinnerton-Dyer

Diego Izquierdo :

Homogeneous spaces, algebraic K-theory and cohomological dimension of fields

Zev Rosengarten :

Tamagawa Numbers of Linear Algebraic Groups over Function Fields

Damian Rössler :

Perfect points on abelian varieties in positive characteristic

Alexander Smith :

\(2^k\)-Selmer groups and Goldfeld's conjecture.

Michael Stoll :

Minimization and reduction of plane curves

Bianca Viray :

Persistance of the Brauer-Manin obstruction under field extension

Isabel Vogt :

Low degree points on curves

Anthony Várilly-Alvarado :

Quasi-hyperbolicity via explicit symmetric differentials

Yuri Zarhin :

Endomorphisms of certain superelliptic jacobians and \(l\)-adic Lie algebras

David Zureick-Brown :

Mazur's program B