This Thursday at U. Haifa Topology & Geometry seminar on February 28, 2019 at 12:10

Geometry & Topology Seminar

Speaker:  Shachar Carmeli  (The Weizmann Institute of Science)

Topic:  Etale Obstructions to Rational Points on Arithmetic Spheres

Place:    room 614 in the Science & Education Building

Time   12:10

Date:  Thursday, February 28, 2019


Etale homotopy theory attaches to every algebraic variety X over a field F a homotopy type E’t(X) called the etale homotopy type.

This construction was generalized by Schlank and Barnea to the relative case, and attached with every algebraic variety over X a sequence of obstructions to rational points leaving in certain Galois cohomology groups.

I will introduce relative etale homotopy theory from an infinity-categorical perspective, and the relevant obstruction theory. Then I will present our computation of the (mod 2) lowest obstruction to solutions of quadratic equations in many variables over F.  This is a joint work with Edo Arad and Tomer Schlank.