|Equipe(s) :||fa, tn, tga,|
|Responsables :||Marc Hindry, Bruno Kahn, Wieslawa Niziol, Cathy Swaenepoel|
|Email des responsables :||email@example.com|
|Orateur(s)||Jędrzej Garnek - Institute of Mathematics of Polish Academy of Sciences,|
|Titre||HKG-curves and cohomologies of p-group covers|
|Horaire||14:00 à 15:00|
Let $k$ be an algebraically closed field of characteristic $p > 0$, and let $G$ be a finite $p$-group. The results of Harbater, Katz and Gabber associate to every action of $G$ on $k[[t]]$ a $G$-cover of the projective line ramified only over $\infty$. During this talk we will present a new way of computing cohomologies of HKG-covers. We apply this result to the classical problem of determining the equivariant structure of cohomologies of a curve with an action of a $p$-group. As an example, we compute the de Rham cohomology of Klein four covers.