This Thursday at U. Haifa Topology & Geometry seminar on March 14, 2019 at 12:10
Geometry & Topology Seminar
Speaker: Ilan Barnea (University of Haifa)
Topic: Relative étale homotopy type and obstructions to rational points.
Place: room 614 in the Science & Education Building
Date: Thursday, March 14, 2019
I will discuss the construction of a model structure on the category of pro-simplicial sheaves. Using this model structure I will define the relative homotopy type of a map of topoi, by applying a derived functor. I will explain how this homotopy type can be used to define cohomological obstructions to the existence of rational points on algebraic varieties. These obstructions were mentioned in a previous talk in this seminar.
This is joint work with Tomer Schlank.