Add to ORKGAbstract. We investigate the Mordell constant of certain families of lattices, in particular, of lattices arising from totally real fields. We define the almost sure value κµ of the Mordell constant with respect to certain homogeneous measures on the space of lattices, and establish a strict inequality κµ1 < κµ2 when the µi are finite and supp(µ1) supp(µ2). In combination with known results regarding the dynamics of the diagonal group we obtain isolation results as well as information regarding accumulation points of the Mordell-Gruber spectrum, extending previous work of Gruber and Ramharter. One of the main tools we develop is the associated algebra, an algebraic invariant attached to the orbit of a lattice under a block group, which ...
Cohomological rigidity theorems (with Banach coefficients) for some matrix groupsG over general ring...
Abstract. Let G be a real Lie group, Λ be a lattice in G and Γ be a compactly generated closed subgr...
Abstract. Let V be a finite dimensional complex linear space and let G be an irreducible finite subg...
Abstract. We investigate the Mordell constant of certain families of lattices, in particular, of lat...
We investigate the Mordell constant of certain families of lattices, in particular, of lat-tices ari...
We prove that the universal lattices -- the groups $G=\SL_d(R)$ where $R=\Z[x_1,...,x_k]$, have prop...
We prove the positive characteristic version of the Dynamical Mordell-Lang Conjecture in two novel c...
We prove that in positive characteristic, the Manin–Mumford conjecture implies the Mordell–Lang conj...
International audiencemetric on its universal cover. In that way one obtains a metric invariant unde...
AbstractWe use some basic results and ideas from the integral geometry to study certain properties o...
In this work, we study some properties of repartition of sets in homogeneous spaces. We use two diff...
31 pagesWe show that stationary characters on irreducible lattices $\Gamma < G$ of higher-rank conne...
For an inclusion F < G < L of connected real algebraic groups such that F is epimorphic in G, ...
AbstractG. Margulis showed that if G is a semisimple Lie group and Γ⊂G is an irreducible lattice, wh...
This thesis extends Voronoy theory to the generalised Hermite invariants defined by T. Watanabe for ...
Cohomological rigidity theorems (with Banach coefficients) for some matrix groupsG over general ring...
Abstract. Let G be a real Lie group, Λ be a lattice in G and Γ be a compactly generated closed subgr...
Abstract. Let V be a finite dimensional complex linear space and let G be an irreducible finite subg...
Abstract. We investigate the Mordell constant of certain families of lattices, in particular, of lat...
We investigate the Mordell constant of certain families of lattices, in particular, of lat-tices ari...
We prove that the universal lattices -- the groups $G=\SL_d(R)$ where $R=\Z[x_1,...,x_k]$, have prop...
We prove the positive characteristic version of the Dynamical Mordell-Lang Conjecture in two novel c...
We prove that in positive characteristic, the Manin–Mumford conjecture implies the Mordell–Lang conj...
International audiencemetric on its universal cover. In that way one obtains a metric invariant unde...
AbstractWe use some basic results and ideas from the integral geometry to study certain properties o...
In this work, we study some properties of repartition of sets in homogeneous spaces. We use two diff...
31 pagesWe show that stationary characters on irreducible lattices $\Gamma < G$ of higher-rank conne...
For an inclusion F < G < L of connected real algebraic groups such that F is epimorphic in G, ...
AbstractG. Margulis showed that if G is a semisimple Lie group and Γ⊂G is an irreducible lattice, wh...
This thesis extends Voronoy theory to the generalised Hermite invariants defined by T. Watanabe for ...
Cohomological rigidity theorems (with Banach coefficients) for some matrix groupsG over general ring...
Abstract. Let G be a real Lie group, Λ be a lattice in G and Γ be a compactly generated closed subgr...
Abstract. Let V be a finite dimensional complex linear space and let G be an irreducible finite subg...