# Scientific Program

**July 14th - Monday**

8.30 – 9.20 Registration

9.20 – 9.30 Opening

9.30 – 10.10

**Yuri Bilu**, *CM-points on straight lines*

10.20 – 11.00

**Yifeng Liu**, *Heegner points and p-adic Waldspurger formula*

11.00 – 11.20 Coffee break

11.20 – 12.00

**Per Salberger**, *Heath-Brown's determinant method and Mumford's geometric invariant theory*

— — —

17.30 – 18.10

**Michael Zieve**, *Functional equations in algebraic dynamics*

19.15 Welcome cocktail

**J****uly 15th - Tuesday**

9.30 – 10.10

**Yann Bugeaud**, *Around the Littlewood conjecture*

10.20 – 11.00

**Martin Widmer**, *Asymptotic Diophantine approximations*

**Marc Hindry**, *Torsion points on abelian varieties; estimates and applications*

The talk is cancelled at the moment for personal reasons

11.00 – 11.20 Coffee break

11.20 – 12.00

**Gaël Rémond**, *Siegel fields*

— — —

18.10 – 18.40

**Clemens Fuchs**, *The p-adic analytic subgroup theorem and some applications*

**July 16th - Wednesday**

9.30 – 10.00

**Pascal Autissier**, *Abelian varieties and Minkowski-Hlawka theorem*

10.20 – 11.00

**Yuri Tschinkel**, *Counting rational and integral points on homogeneous varieties*

11.00 – 11.20 Coffee break

11.20 – 12.00

**Walter Gubler**, *Skeletons and tropicalizations*

— — —

17.30 – 18.00

**Lukas Pottmeyer**, *Heights on totally p-adic numbers, and a question of Narkiewicz*

**July 17th - Thursday**

10.20 – 11.00

**Daniel Bertrand**, *Manin maps and algebraic independence*

**Elon Lindenstrauss**, *Diophantine properties of orbits of the semigroup {a^n b^m}*

The talk is cancelled at the moment for personal reasons

11.00 – 11.20 coffee break

11.20 – 11.50

**Laura DeMarco**, *Torsion points and dynamical heights*

— — —

17.30 – 18.00

**Jason Bell**, *Automorphisms of varieties and potential density*

20.00 Social Dinner (Pizza)

**July 18th Friday**

9.30 – 10.10

**Yves André**, *Algebraic relations between periods depending on parameters - a survey of the roles of differential Galois theory, Hodge theory and motivic theory*

10.20 – 11.00

**Jean – Benoît Bost**, *Infinite dimensional vector bundles over arithmetic curves and algebraization*

11.00 – 11.20 Coffee break

11.20 – 12.00

**Vincenzo Mantova**, *On two conjectures of Rényi, Erdős and Schinzel about lacunary polynomials*

— — —

17.30 - 18.00

**Lars Kühne**, *Effective uniformity of André-Oort type*

**July 19th Saturday**

10.00 - 10.30

**Laura Capuano**,* On a Bombieri-Masser-Zannier theorem*

10.40 - 11.10

**Robert Grizzard**,* Small points and free abelian groups*

11.10 - 11.30 Coffee break

11.30 - 12.00

**Harry Schmidt**, *Relative Manin-Mumford in additive extensions*

**July 21st Monday**

8.30 – 9.20 Registration

9.20 – 9.30 Opening

9.30 – 10.10

**Jean-Louis Colliot-Thélène**, *The set of non-n-th powers in a number field is Diophantine*

10.20 – 11.00

**Alexei Skorobogatov**, *Rational points on families of conics*

11.00 – 11.20 Coffee break

11.20 – 12.00

**Francesco Amoroso**, *Bounded height problems and Silverman Specialization Theorem (joint work with D. Masser and U. Zannier)*

— — —

17.20 – 17.50

**Fedor Bogomolov**, *Braid group and Szpiro inequality*

17.50 – 18.30

**Michael Stoll**, *Uniform bounds on the number of rational points on hyperelliptic curves of low Mordell-Weil rank*

19.15 Welcome cocktail

**July 22th Tuesday**

9.30 – 10.10

**Dorian Goldfeld**, *The vertical Sato-Tate conjecture*

10.20 – 11.00

**Emmanuel Ullmo**, *Algebraic flows on Abelian varieties and locally symmetric varieties*

11.00 – 11.20 coffee break

11.20 – 11.50

**Ziyang Gao**, *The mixed Ax-Lindemann theorem and its applications to the Zilber-Pink conjecture*

— — —

17.30 – 18.10

**Thomas Scanlon**, *Differential Equations and Unlikely Intersections *

* *

**July 23th Wednesday**

9.30 10.10

**Fabrizio Catanese**, *Answer to some question by Fujita on Variation of Hodge structures (the direct image of ω needs not be semiample)*

10.20 – 11.00

**Gerd Faltings**, *Norms of Weierstrass-sections*

11.00 – 11.20 coffee break

11.20 – 11.50

**Rafael von Känel**, *Integral points on moduli schemes*

**July 24th Thursday**

9.30 – 10.10

**Philipp Habegger**, *Unlikely Intersections and O-minimality*

10.20 – 11.00

**Matt Baker**, *A Survey of Unlikely Intersections in Algebraic Dynamics*

11.00 – 11.20 coffe break

11.20 – 11.50

**Gareth Jones**, *An effective instance of the relative Manin-Mumford conjecture*

20.00 Social Dinner (Pizza)

**July 25th** Friday

9.30 – 10.10

**Tom Tucker**, *Preperiodic portraits modulo primes*

10.20 – 10.50

**Aaron Levin**, *Integral points in orbits*

11.00 – 11.20 coffee break

11.20 – 11.50

**Fabrizio Barroero**,* Linear relations on families of powers of elliptic curves (joint work with Laura Capuano)*

— — —

17.30 – 18.00

**Felipe Voloch**, *Unboundedness of the number of rational points on curves*