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Conférence donnée dans le cadre du cycle "Un texte, une aventure mathématique".

Résumé : We describe the mod $p^r$ pro $K$-groups $\{K_n(A/I^s)/p^r\}_s$ of a regular local $ F_p$-algebra $A$ modulo powers of a suitable ideal $I$, in terms of logarithmic Hodge-Witt groups, b...

Résumé : We establish the Miyaoka-Yau inequality in terms of orbifold Chern classes for the tangent sheaf of any complex projective variety of general type with klt singularities and nef canonic...

Résumé : We study the asymptotic behavior of simply connected Riemannian manifolds~$X$ of strictly negative curvature admitting a non-uniform lattice $\Gamma$. If the quotient manifold ${\bar X=...

Résumé : On a smooth, compact and oriented manifold without boundary, we give a complete description of the correlation function of a Morse-Smale gradient flow satisfying a certain nonresonance ...

Résumé : This paper continues a study initiated in [35], on the localization transition of a lattice free field on $ℤ^d$ interacting with a quenched disordered substrate that acts on the interfa...

Résumé : We study a particular class of representations from the fundamental groups of  punctured spheres $\Sigma_{0,n}$  to the group $PSL (2, ℝ)$, which we call supra-maximal. Though most of t...

Résumé : In this paper, we extend Deligne's functorial Riemann-Roch isomorphism for Hermitian holomorphic line bundles on Riemann surfaces  to the case of  flat, not necessarily unitary connecti...