D\'eveloppement fin de la contribution unipotente \`a la formule des traces sur un corps global de caract\'eristique p>0, I

arXiv2212.03792MaRDI QIDQ6507258

Author name not available (Why is that?)

Abstract: For a field $F$ and a connected reductive group $G$ defined over $F$, we develop a theory of Kempf-Rousseau-Hesselink unipotent $F$-strata in $G(F)$ that should allow us to attack open problems in positive characteristic. As an application, we use this theory to establish the fine expansion of the unipotent contribution to the (non-twisted) trace formula over a global field of characteristic $p>0$. The unipotent $F$-strata play here the role of the unipotent geometric orbits in Arthur's work over a number field. The expansion in terms of products of local distributions is not discussed here; it will be the subject of further work.

Mathematics Subject Classification ID

No records found.

This page was built for publication: D\'eveloppement fin de la contribution unipotente \`a la formule des traces sur un corps global de caract\'eristique p>0, I

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6507258)