| Résume | I will report on a joint work with Mário Edmundo and Jinhe Ye in
which we introduced a sheaf cohomology theory for algebraic
varieties over non-archimedean fields based on Hrushovski-Loeser
spaces. After informally framing our main results with respect to
classical statements, I will discuss some details of our
construction and the main difficulties arising in this new
context. If time allows, I will further explain how our results
allow us to recover results of V. Berkovich on the sheaf
cohomology of the analytification of an algebraic variety over a
rank 1 complete non-archimedean field. |
