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Weak approximation and local-global principle for certain rationally connecte...
This thesis is concerned with the study of some arithmetic properties of certain algebraic varieties which are ``simplest'' in some geometric sense and which are... -
Decomposable and Indecomposable Algebras of Degree 8 and Exponent 2
We study the decomposition of central simple algebras of exponent $2$ into tensor products of quaternion algebras. We consider in particular decompositions in which... -
Two properties of vectors of quadratic forms in Gaussian random variables
We study distributions of random vectors whose components are second order polynomials in Gaussian random variables. Assuming that the law of such a vector is not... -
Relations between the Chow motive and the noncommutative motive of a smooth p...
International audience -
A generic characterization of direct summands for orthogonal involutions
The `transcendental methods' in the algebraic theory of quadratic forms are based on two major results, proved in the 60's by Cassels and Pfister, and known as the... -
Geometric aspects of local-global principle in the abstract theory of quadrat...
Spaces of orderings were introduced in the last of 70s by M. Marshall, in order to provide an abstract framework to the study of a generalized theory of quadratic...
