Laboratoire de Mathématiques Blaise Pascal

Free-Monodromic Mixed Tilting Sheaves on Flag Varieties

In this paper we propose a construction of a monoidal category of “free-monodromic” tilting perverse sheaves on (Kac–Moody) flag varieties in the setting of the “mixed modular derived category” introduced by the first and third authors. This category shares most of the properties...

SEMIINFINITE SHEAVES ON AFFINE FLAG VARIETIES

Abstract We study a category of semiinfinite sheaves on the affine flag variety of a connected reductive algebraic group G , with coefficients in a field k $\Bbbk $ double struck k (of arbitrary characteristic different from that of the base field), generalizing some results of G...

Polygonal Faber-Krahn inequality: local minimality via validated computing

The main result of the paper shows that the regular [Formula: see text]-gon is a local minimizer for the first Dirichlet-Laplace eigenvalue among [Formula: see text]-gons having fixed area for [Formula: see text]. The eigenvalue is seen as a function of the coordinates of the ver...

Maillet-type theorem for some inhomogeneous linear systems of regular Gevrey-type partial differential equations

In this article, we are interested in the Gevrey properties of the formal power series solutions in time of some inhomogeneous linear systems of regular Gevrey-type partial differential equations with analytic coefficients at the origin of C N + 1 . We systematically examine the...

The Norm Residue Symbol for Formal Drinfeld Modules

We study the Kummer pairing associated with formal Drinfeld modules of stable reduction and height one over local fields. Building on the explicit reciprocity framework initiated by Kolyvagin and later developed for Drinfeld modules, we develop a derivation-based approach to the...

Global Boundedness Induced by Asymptotically Non‐Degenerate Motility in a Fully Parabolic Chemotaxis Model with Local Sensing

ABSTRACT A fully parabolic chemotaxis model of Keller–Segel type with local sensing is considered. The system features a signal‐dependent asymptotically non‐degenerate motility function, which accounts for a repulsion‐dominated chemotaxis. Global boundedness of classical solution...