Étale and Motivic Homotopy Theory

Grothendieck's section conjecture predicts that rational points on hyperbolic curves X over number fields k are in bijection with conjugacy classes of sections of π1(X) -> π1(k). Part of this conjecture reduces to X = P1 - {0, 1, ∞}. Conjugacy classes of sections are π0 of a mapping space of etale homotopy types. We resolve the etale homotopy type of P1 - {0, 1, ∞} to study this mapping space.

Donnerstag, den 27. März 2014 um 11.00-12.00 Uhr, in INF288, HS2 Donnerstag, den 27. März 2014 at 11.00-12.00, in INF288, HS2

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Alexander Schmidt, Jakob Stix