In this paper we develop a strategy and some technical tools for proving the Andre-Oort conjecture. We give lower bounds for the degrees of Galois orbits of geometric components of special subvarieties of Shimura varieties, assuming the Generalised Riemann Hypothesis. We proceed to show that sequences of special subvarieties whose Galois orbits have bounded degrees are equidistributed in a suitable sense
Abstract. We prove new equidistribution results for Galois orbits of Heegner points with respect to ...
The aim of this project is to address prime number distribution in two different situations: arithme...
We prove new equidistribution results for Galois orbits of Heegner points with respect to single red...
AbstractWe prove that the mixed André–Oort conjecture holds for any mixed Shimura variety if a lower...
We prove some equidistribution result on the modular curves: Galois orbits of modular invariants wit...
Let s be a special point on a Shimura variety, and x a pre-image of s in a fixed fundamental set of ...
This book presents a new degree theory for maps which commute with a group of symmetries. This degre...
We prove a general subconvex bound in the level aspect for Rankin-Selberg L-functions associated wit...
We present some applications of recent results in homogeneous dynamics to an unlikely intersections ...
In the Workshop the central theme is a conjecture, see (4.2). On this conjecture work has been done...
Nous démontrons un résultat d'équidistribution sur les courbes modulaires : les orbites galoisiennes...
In the Workshop the central theme is a conjecture, see (4.2). On this conjecture work has been done...
Abstract. In this paper we prove, assuming the Generalized Riemann Hypothesis, the André-Oort conje...
In a series of papers, Aluffi and Faber computed the degree of the $GL_3$ orbit closure of an arbitr...
The book introduces conceptually simple geometric ideas based on the existence of fundamental domain...
Abstract. We prove new equidistribution results for Galois orbits of Heegner points with respect to ...
The aim of this project is to address prime number distribution in two different situations: arithme...
We prove new equidistribution results for Galois orbits of Heegner points with respect to single red...
AbstractWe prove that the mixed André–Oort conjecture holds for any mixed Shimura variety if a lower...
We prove some equidistribution result on the modular curves: Galois orbits of modular invariants wit...
Let s be a special point on a Shimura variety, and x a pre-image of s in a fixed fundamental set of ...
This book presents a new degree theory for maps which commute with a group of symmetries. This degre...
We prove a general subconvex bound in the level aspect for Rankin-Selberg L-functions associated wit...
We present some applications of recent results in homogeneous dynamics to an unlikely intersections ...
In the Workshop the central theme is a conjecture, see (4.2). On this conjecture work has been done...
Nous démontrons un résultat d'équidistribution sur les courbes modulaires : les orbites galoisiennes...
In the Workshop the central theme is a conjecture, see (4.2). On this conjecture work has been done...
Abstract. In this paper we prove, assuming the Generalized Riemann Hypothesis, the André-Oort conje...
In a series of papers, Aluffi and Faber computed the degree of the $GL_3$ orbit closure of an arbitr...
The book introduces conceptually simple geometric ideas based on the existence of fundamental domain...
Abstract. We prove new equidistribution results for Galois orbits of Heegner points with respect to ...
The aim of this project is to address prime number distribution in two different situations: arithme...
We prove new equidistribution results for Galois orbits of Heegner points with respect to single red...